In what ratio must a person mix three kinds of musted seeds costing Rs.65/kg, Rs.70/kg and Rs.105 /kg so that the resultant mixture when sold at Rs.96/kg yields a profit of 20%? a) 1:2:4 b) 3:7:6 c) 1:4:2 d)1:8:6 e) 40 : 8 : 25

1 Answer

Answer :

E

The resultant mixture is sold at a profit of 20% at Rs.96/kg

i.e. 1.2 (cost) = Rs.96 => Cost = = Rs.80 / kg.

Let the three varities be A, B, and C costing Rs.65, Rs.70 and Rs.105 respectively.

The mean price falls between B and C.

Hence the following method should be used to find the ratio in which they should be mixed.

image

A:C=4:5 B:C=2:5

The resultant ratio A : B : C :: 40 : 8 : 25. 

Related questions

Description : In what ratio must a person mix three kinds of dall costing him Rs 12.25,Rs 12.50 and Rs 12.75 per Kg so that the mixture may be worth Rs 12.65 per Kg? a) 11:7:1 b) 22:3:6 c) 14:3:4 d) 2:7:4 e) 3:12:32

Last Answer : E Step1: Mix dall of first and third kind to get a mixture worth Rs 12.25 per Kg. C.P of 1 Kg dall of 1st kind 1225p C.P of 1 Kg dall of 3rd kind 1275p So they must be mixed in the ... So the Mixed ratio = 3:8 Thus the quantities of dall 1st : 2nd : 3rd  = 3:12:32

Description : A merchant mixes three varieties of rice costing Rs.40/kg, Rs.48/kg and Rs.60/kg and sells the mixture at a profit of 40% at Rs.60 / kg. How many kgs of the second variety will be in the mixture if 4 kgs of the third variety is there in the mixture? a) 1 kg b) 20 kgs c) 3 kgs d) 6 kgs e) 8kgs

Last Answer : D If the selling price of mixture is Rs.60/kg and the merchant makes a profit of 20%, then the cost price of the mixture = 60/1.2 = Rs.50/kg. We need to find out the ratio in which the three varieties are mixed ... QC in step 1 and step 2 = 1 + 5 = 6 Therefore, the ratio = 1 : 25 : 5

Description : In what ratio should a shopkeeper mix two types of rice, one costing 40 rupees/kg and another costing 20 rupees/kg to get a rice variety costing 28 rupees/kg a) 3:2 b) 2:3 c) 4:3 d) 2:7 e) None

Last Answer : B Here also we can use Alligation as follows  X = 40-28 = 4 ; y = 28-20 = 8 The ratio between the type 1 and type 2 rice is 4:6 or 2: 3

Description : In what ratio must water be mixed with milk costing Rs.30 per litre in order to get a mixture worth of Rs.18 per litre? a) 3:2 b) 2:3 c) 4:3 d) 2:7 e) 1:2

Last Answer : B  By the rule of allegation  Ratio of water to milk = 12:18 = 2:3

Description : In what ratio should wheat at Rs12.60 per kg be mixed with wheat at Rs. 14.60 per kg so that the mixture be worth Rs.13 per kg ? a) 6:8 b) 8:7 c) 4:3 d) 2:7 e) 4:1

Last Answer : E Thus the required ratio = 160 :40 = 4:1

Description : Find the ratio in which Nuts at Rs. 5.40 a kg be mixed with Nuts at Rs. 3.20 a kg to produce a mixture worth Rs. 4.60 a kg. a) 9:2 b) 2:3 c) 4:3 d) 3:2 e) 7:4

Last Answer : E By the rule of allegation  Required ratio = 140 : 80  = 7:4

Description : How many litres of a 36 litre mixture containing milk and water in the ratio of 4 : 6 be replaced with pure milk so that the resultant mixture contains milk and water in equal proportion? a) 3 b) 2 c) 4 d) 7 e) 6 

Last Answer :  E  The mixture contains 40% milk and 60% water in it.  That is 14.4 litres of milk and 21.6 litres of water.  Now we are replacing the mixture with pure milk so that the amount of milk and water in the ... containing 60% water,  we need to remove ={3.6}/{0.6} litres of the mixture  = 6 litres

Description : How many kg of dal at Rs.8.40 per kg be mixed with32 kg of dall at Rs10.20 per kg to get a mixture worth Rs.9.60 per kg? a) 23 b) 49 c) 43 d) 72 e) 16

Last Answer : E By the rule of allegation ,we have Quantity of 1st kind dall : Quantity of 2nd kind dall = 60 : 120  => Quantity of 1st kind dall:32 = 1:2  Quantity of 1st kind dall =32 *1/2 = 16

Description : Redgram worth Rs. 112 per kg and Rs.123 per kg are mixed with a third variety in the ratio 1: 1 : 2. If the mixture is worth Rs. 142 per kg, the price of the third variety per kg will be a) 153 b) 175.50 c) 43.9 d) 227.9 e) 166.5 

Last Answer : E  Since first second varieties are mixed in equal proportions  so their average price = Rs.(112 + 123/2)  = Rs. 117.5  So, the mixture is formed by mixing two varieties, one at Rs. 117.50 per kg and the ... ratio 2 : 2, i.e., 1 : 1. We have to find x.  By the rule of allgation 

Description :  In 1 kg mixture of iron and carbon, 40% is carbon. How much iron should be added so that the proportion of carbon becomes 20% a)1.5kg b)2kg c)3kg d)5kg e)1kg

Last Answer : E Quantity of the mixture : Quantity of iron = 20 : 20 = 1 : 1 Given that quantity of the mixture = 1 kg Hence quantity of iron to be added = 1 kg

Description : A milk vendor has 2 cans of milk. The first contains 25% water and the rest milk. The second contains 50% water. How much milk should he mix from each of the containers so as to get 12 litres of milk such that the ratio of water to milk is 3 : 5? a) 2 b) 3 c) 4 d) 7 e) 6 

Last Answer : E Let cost of 1 litre milk be Rs.1 Milk in 1 litre mix in 1st can =3/4 litre Cost Price(CP) of 1 litre mix in 1st can = Rs. 3/4 Milk in 1 litre mix in 2nd can 1/2 litre. Cost Price(CP) of 1 ... 2nd can :mix in 1st can =1/8:1/8=1:1 ie, from each can,1/2* 12 = 6 litre should be taken.

Description : Vessel A contains milk and water in the ratio 3:2. Vessel B contains milk and water in the proportion 4:5.In what proportion should quantities be taken from A & B to form a mixture in which milk and water are in the ratio 7:2? a) 3:2 b) 15:2 c) 4:3 d) 8:15 e) 6:18

Last Answer : D For this question, we will consider the proportion of milk in each mixture. In Vessel A, the proportion of milk in 3/((3+2) )=3/5. vessel B, the proportion of milk is 4/(4+5) = 4/9

Description : The cost of Type 1 material is Rs. 50per kg and Type 2 material is Rs.75 per kg. If both Type 1 and Type 2 are mixed in the ratio of 3:2 then what is the price per kg of the mixed variety of material? a) 32 b) 38 c) 53 d) 62 e) 60 

Last Answer : E Cost Price (CP) of Type 1 material is Rs. 50 per kg Cost Price (CP) of Type 2 material is Rs. 75 per kg Let Cost Price(CP) of resultant mixture be Rs.x per kg

Description : A vessel is filled with liquid, 4 parts of which are water and 5 parts syrup. How much of the mixture must be drawn off and replaced with water so that the mixture may be half water and half syrup? a) 1/3 b) 1/5 c) 1/4 d) 1/7 e) 1/10

Last Answer : E Suppose the vessel initially contains 9 litres of liquid. Let x litres of this liquid be replaced with water. Quantity of water in new mixture = 4 - 4x/9 + x litres Quantity of syrup in new mixture = 5 - 5x /9 (4 ... 9  X = 9 / 10 So part of the mixture replaced = 9 / 10 1 / 9  = 1 / 10

Description : A container contains a mixture of two liquids P and Q in the ratio 7 : 5. When 9 litres of mixture are drawn off and the container is filled with Q, the ratio of P and Q becomes 7 : 9. How many litres of liquid P was contained in the container initially? a) 12 b) 21 c) 93 d)17 e) None 

Last Answer : B Let initial quantity of P in the container be 7x and initial quantity of Q in the container be 5x Now 9 litres of mixture is drawn off from the container. Quantity of P in 9 litres of the mixture drawn off ... = 7 : 9 x=16* 21/4*28 Litres of P contained in the container initially =7x = 21

Description : Two vessels A and B contain sugar and rava in the ratio 4 : 3 and 2 : 3 respectively. Find the ratio in which these mixtures be mixed to obtain a new mixture in vessel C containing sugar and rava in the ratio 1 : 2? a) 2:9 b) 3:2 c) 7:9 d) 2:7 e) 7:4

Last Answer : E Let Cost Price(CP) of 1 kg sugar be Rs.1 Quantity of sugar in 1kg mixture from vessel A=4/7 Cost Price(CP) of 1kg mixture from vessel A = Rs. =4/7 Quantity of sugar in 1 kg mixture from vessel ... from vessel C=1/2 Cost Price(CP) of 1 kg mixture from vessel C(Mean Price) = Rs.=1/2

Description : A sample of x litres from a container having a 60 litre mixture of milk and water containing milk and water in the ratio of 2 : 3 is replaced with pure milk so that the container will have milk and water in equal ... . What is the value of x? a) 6 litres b) 10 litres c) 30 litres d) None of these

Last Answer : C Another way for solving this sum is by choice The mixture of 60 litres has in it 24 litres of milk and 36 litres of water. (2 : 3 :: milk water) When you remove x litres from it, you ... have 30 litres of milk and 30 litres of water - i.e. milk and water are in equal proportion.

Description : In 20 litres of a mixture, the ratio of sugar syrub to honey syrub is 5:1. In order to make the ratio of sugar syrub to honey syrub as 3:1, the quantity of honey syrub that should be added to the mixture will be A) 5 2/3 B) 4 1/3 C) 6 2/3 D) 2 2/9

Last Answer : D By the rule of alligation Quantity of honey : Quantity of mixture =1/12:3/4}=1:9 Given that quantity of mixture = 20 litre =>Quantity of honey : 20 = 1 : 9 => Quantity of honey = 20 x1/9  = 2 2/9 litre

Description : In what ratio must a person mix three kinds of Oats costing him Rs 1.20,Rs 1.44 and Rs 1.74 per Kg so that the mixture may be worth Rs 1.41 per Kg? A)11:77:7 B) 11:45:7 C)25:45:8 D) 27:23:6

Last Answer : A)11:77:7

Description : Some amount out of Rs.8500 was lent at 5% per annum and the remaining was lent at 3% per annum. If the total simple interest from both the fractions in4 years was Rs.1500, the sum lent at 5% per annum was a) Rs. 2400 b) Rs. 2200 c) Rs. 2000 d) Rs. 6000

Last Answer : D Total simple interest received , I = Rs.1500 Principal , p = 8500 period, n = 4 years Rate of interest, r = ? Simple Interest, I=PNR/100 1500 = ( 8500 4 r )/ 100  = ... total amount is Rs.8500.  Therefore, the amount lent at 5% per annum (part1 amount) = 8500x12/17  = 6000 

Description : A container contains 55 litres of milk. From this container 5.5 litres of milk was taken out and replaced by water. This process was repeated further two times. How much milk is now contained by the container? a) 32 b) 29.16 c) 43 d) 27.12 e) 40.09 

Last Answer : E  Where x is the initial quantity of milk in the cask y is the quantity of milk withdrawn in each process and n is the number of processes. Initial quantity:55 Withdrawn quantity=5.5 number of times repeated ... of milk left after the 3rd operation =55*((55-5.5)/55) ^3  =40.09litres.

Description : A jar full of whiskey contains 52% alcohol. A part of this whisky is replaced by another containing 31% alcohol and now the percentage of alcohol was found to be 38%. The quantity of whisky replaced is a) 3/2 b) 2/3 c) 4/3 d) 2/7 e) None

Last Answer : B Concentration of alcohol in 1st Jar = 52% Concentration of alcohol in 2nd Jar = 31% After the mixing, Concentration of alcohol in the mixture = 38% By rule of allegation, Hence ratio of 1st and 2nd quantities = 7 : 14 = 1 : 2 i.e., 2/3 part of the whisky is replaced.

Description :  From a cask of milk containing 45 litres, 9 litres are drawn out and the cask is filled up with water.If the same process is repeated a second, then a third time, what will be the number of litres of milk left in the cask? a) 31.2 b) 20.9 c) 23.04 d) 12.39 e) 15.36

Last Answer : C where x is the initial quantity of milk in the cask y is the quantity of milk withdrawn in each process and n is the number of processes. Initial quantity:45 Withdrawn quantity=9 number of times repeated=3 ... ] Quantity of milk left after the 3rd operation =45*(45-9)/45)^3 = 23.04 litres.

Description : A trader mixes Ariel detergent costing Rs. 64 per kg with “Surf excel” which costs Rs. 76per kg in the ratio 1:3. If the cost of Surf excel drops to Rs.74 per kg, then in what ratio should he mix the two to leave the cost of mixture unchanged? a) 1:9 b) 1:8 c) 9:1 d) 8:1

Last Answer : a) 1:9

Description : Joseph bought two varieties of rice, costing 5 cents per ounce and 6 cents per ounce each, and mixed them in some ratio. Then he sold the mixture at 7 cents per ounce, making a profit of 20 percent. What was the ratio of the mixture? A) 1:10 B) 1:5 C) 2:7 D) 3:8 E) NONE

Last Answer : Answer: B 1) 20% profit at the price of 7 cents means that cost of the mixture should be 70/12 cents per ounce (7 = 120% and x = 100% => x = 7*100/120) 2) Let the amount of 5 cent rice will be x and the amount ... which as we know should equal to 70/12 3) (5x + 6y)/(x + y) = 70/12 => x/y = 1/5

Description : Vaishnavi purchased 35kg of wheat at the rate of Rs.19.50 per kg and another 35kg of wheat at a certain rate. She mixed the two and sold the entire quantity at the rate of the Rs.21.25 per kg and made 20%. Overall profit at what price per kg did she purchase the lot of another 35kg wheat?

Last Answer : Let the required price per kg be Rs'X'  Then cost price of 70 kg wheat = Rs(35 * 19.50 + 35 * X)  = Rs (682.5 + 35X)  Selling price of 70kg wheat = Rs (70 * 21.25)  = Rs.1487.5 Total cost ... 100/120=1239.58 35x= 1239.58-682.5=557.08 X=15.91 So the cost price of second lot is Rs15.91 per kg

Description : By mixing two brands of dal and selling the mixture at the rate of Rs.354 per kg a shopkeeper makes a profit of 36%. If to every 4 kg of one brand costing Rs.400 per kg, 6kg of other brand is added. Then how much per kg does the other brand cost?

Last Answer : Let the cost price of other brand be Rs x' per kg  cost price of 10 kg = Rs (4 * 400 + 6 * x)  = Rs (1600 +6x)  Selling price of 10 kg = Rs (10 * 354 )  = Rs.3540  Therefore 3540 -(1600 + 6x)/ ... 6x/1600 + 6x = 0.36  1940 - 6x = 576 + 2.16x  x=167.15  so the cost of other brand = Rs.167.15

Description : In a bag there arc coins of 25 paise and 10 paise in the ratio of 6 : 17. If the bag contains Rs. 16 then the number of 10-paise coins is a) 30 b) 40 c) 70 d) 85 e) 65

Last Answer : d) 85

Description : Shan bought 30 liters of milk at the rate of Rs.8 per liter. He got it churned after spending Rs.10 and 5kg of cream and 30 liter of toned milk were obtained. If he sold the cream at Rs.30 per kg and toned milk at Rs.4 per liter, his profit in the transaction is: A. 20% B. 8% C. 30% D. 40%

Last Answer : Answer – B .8% Explanation: CP =Rs.(30 x 8 + 10) = Rs.250 SP = Rs. (30 x 5 + 30 x 4) = Rs.270 Gain% = (20/250 x 100)% = 8%

Description : Manish purchased 25 kg of rice @ Rs32 per kg and 15 kg of rice @ Rs 36 per kg. He mixed the two varieties of rice and sold it @ Rs 40.20 per kg. What is the percent profit earned? 1. 25 2. 40 3. 30 4. 20

Last Answer : 4. 20

Description : The ratio of the cost price of product A to that of B is 5:7. product A was sold at a profit of 80% and product B was sold at a profit of 20%. If the total profit earned after selling both the (products A and B is Rs 296) what is the difference between the cost prices of product A and B?

Last Answer : CP of product A= 5X CP of product B=7x Total price = (5x*0.8)+(7x*0.2) =296 4X+1.4X=296 5.4X=296 x=54.81=55(approx.) difference of the CP= 7x-5x=2x=2*55  = Rs. 110

Description : A shopkeeper sells a cricket bat whose marked price is Rs.60 at a discount of 20% and gives a ball costing Rs.3 free with each bat. Even then he makes a profit of 25%. His cost per bat is.

Last Answer : Marked price = Rs.60  Selling price = Rs [(80/100 * 60) – 3]  = Rs.45 Let cost price brRs ‘x’.  Then 125% of x = 45  (125/100 * x) = 45  Cost price of one bat = Rs.36

Description : For batching 1:3:6 concrete mix by volume, the ingredients required per bag of 50 kg cement, are: (A) 70 litres of sand and 120 litres of aggregates (B) 70 kg of sand and 140 litres of ... C) 105 litres of sand and 140 litres of aggregates (D) 105 litres of sand and 210 litres of aggregates

Last Answer : Answer: Option D

Description : Ganesh purchased a bed and a washing machine for Rs 40,000. Later , he sold the bed at 40% profit and the washing machine at 20% loss. Thus, he gained 4% in the whole transaction. Find cost price of the bed?

Last Answer : CP of bed=x x*40/100-(40,000-x)*20/100=40,000*4/100 40x-(800000-20x)=160000 60x-800000=160000 60x=960000 X=Rs16000

Description : The rate of gross profit is 20% on sales and the cost of goods sold is Rs. 1‚00‚000, the amount of gross profit will be– (A) Rs. 30‚000 (B) Rs. 25‚000 (C) Rs. 20‚000 (D) Rs. 16‚667

Last Answer : Answer: Rs. 25‚000

Description : A vendor bought 30 dozen bananas at Rs.16 per dozen. He sold 10 dozens at Rs.20 per dozen and 16 dozens at Rs.25 per dozen. The remaining 4 dozens were rotten and he threw away. Find his profit percentage. a)20% b)25% c)30% d)33 1/3%

Last Answer : b)25%

Description : A man who makes a profit of 25 percent by selling sugar at Rs. 4.25/kg., lowers his price so as to gain only 5 paise per Kg. In what ratio must his sales be increased so that his total profit may be the same as before? a) 1 : 5 b) 1 : 11 c) 1 : 13 d) 1 : 17 e) 1 : 21

Last Answer : 125% C.P. of sugar per kg = Rs. 4.25 C.P of the sugar per kg = [4.25×100] / 125 = Rs. 3.40. thus, the profit on 1 kg 85 paise by reducing price to 5 paise, to make same profit he must sell, 85/5 = 17kg so required ratio = 1 : 17. Answer: d)

Description : In India, which one of the following should be considered the right combination of the age in days and live body weight in kg for a lamb for its weaning ? (A) 20 days to 30 days and 6 kg to 7 kg (B) 45 days to 60 ... (D) 75 days to 90 days and 12 kg to 15 kg (E) 55 days to 70 days and 9 kg to 11 kg

Last Answer : (C) 105 days to 120 days and 18 kg to 21 kg

Description : In what ratio water be mixed with juice costing Rs.12 per liter to obtain a mixture worth of Rs.8 per litre? A)2:3 B)2:1 C)1:2 D)3:2

Last Answer : C)1:2

Description : At the beginning of the year, Midtown Athletic had an inventory of $400,000. During the year, the company purchased goods costing $1,600,000. If Midtown Athletic reported ending inventory of $600,000 and sales of $2,000,000 ... a. $1,000,000 and 50%. b. $1,400,000 and 30%. c. $1,000,000 and 30%.

Last Answer : b. $1,400,000 and 30%.

Description : A grocer bought two kinds of rice at Rs. 38 and Rs. 32 per kg respectively. In what ratio should these two be mixed, so that by selling the mixture at Rs.42.5 per kg, 25% may be gained? a) 2:1 b) 3:2 c) 3:4 d) 1:2

Last Answer : d) 1:2

Description : Question: How much was the total sale of the company ? Statements: I. I.The company sold 8000 units of product A each costing Rs. 25. II. II.This company has no other product line. (a) statement (I ... (I) and (II) together are not sufficient (d) Both statements (I) and (II) together are necessary

Last Answer : (d) Both statements (I) and (II) together are necessary

Description : Sanki purchased 20 dozen notebook at Rs. 48 per dozen. He sold 8 dozen at 10% profit and remaining 12 dozen with 20% profit. What is his profit percentage in the transaction? A. 8% B. 15% C. 16% D. 19% 

Last Answer : Answer – C (16%) Explanation – C.P of 20 dozen = Rs.(48 x 20) = Rs.960 C.P of 8 dozen = Rs. (48 x8) = Rs. 384. C.P of 12 dozen =Rs. (960 – 384) = Rs. 576 Total S.P = Rs. (110/100 x 384 +120/100 x 576) = Rs.1113.60 ∴ Profit % = (153.60/960 x 100)% =16%

Description : Chenna dhal is now being sold at Rs. 70 a kg. Last month, is rate was Rs. 80 per kg. By how much percent should a family reduce its consumption so as to keep the expenditure fixed? a)12.5 b)21.8 c)23 d)18

Last Answer : Answer: A  Let a family's monthly consumption of chenna dhal be x kg.  To keep the expenditure fixed,  their consumption for this month should be 70x/80 = 7x/8.  Reduction in consumption = x/8 = 12.5% of x

Description : To devitalize weed seeds in manure, the composting temperature must be in which of the following range a). 35-50 °C b). 50-65 °C c). 65-90 °C d). 90-105 °C

Last Answer : c). 65-90 °C

Description : A shopkeeper bought 30 kg of wheat at the rate of Rs 45 per Kg. He sold 40% of the total quantity at the rate of Rs 50 per Kg. Approximately, at what price per Kg should he sell the remaining quantity to make 25 per cent overall profit? 1. Rs 54 2. Rs 52 3. Rs 50 4. Rs 60

Last Answer : 4. Rs 60

Description : A seller mixes 52 kg of ragi at Rs. 40 per kg with 60 kg of ragi of other variety at Rs.72per kg and sells the mixture at Rs.60 per kg. His profit percent is:

Last Answer : C.P. of 112 kg rice = Rs. (52x 40 + 60 x 72) = Rs. (2080+4320) = Rs. 6400. S.P. of 112 kg rice = Rs. (112 x 60) = Rs. 6720 Gain=320 Gain %= 320*100/6400 Gain %=5

Description : Box A contains wheat worth Rs.30 per kg and box B contains wheat worth Rs.40 per kg.If both A and B are mixed in the the ratio 4:7 then the price of mixture per kg is A)36.36 B)35.80 C)42.50 D)31.30

Last Answer : A)36.36

Description : The following data, relates to manufacturing company for the year 2006-07- Net Profit as per P & L A/c-Rs. 2,40,000; Depreciation-Rs. 80,000; Goodwill written-off- Rs. 40,000, Profit on Sale of Fixed Assets-Rs. 16,000, ... ) Rs. 4,40,000 (B) Rs. 4,00,000 (C) Rs. 6,40,000 (D) None of the above

Last Answer : Answer: None of the above

Description : When the sales increase from Rs. 40,000 to Rs. 60,000 and profit increases by Rs. 5,000, the P/V ratio is — (a) 20% (b) 30% (c) 25% (d) 40%.

Last Answer : (c) 25%