One year ago the ratio between Laxman and Gopal salary was 3:4. The individual ratios between their last year’s and this year’s salary are 4:5 and 2:3 respectively. At present the total of their salary is Rs.4160. The salary of laxman now is? a) 1800 b) 1500 c) 2160 d) 2560 e) 1600

One year ago the ratio between Laxman and Gopal salary was 3:4. The individual ratios between their last year’s and this year’s salary are 4:5 and 2:3 respectively. At present the total of their salary is Rs.4160. The salary of laxman now is? a) 1800 b) 1500 c) 2160 d) 2560 e) 1600
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1 Answer

Answer :

Answer: E

Let the salaries of Laxman and Gopal one year before be x1 ,y1 respectively.

∴ x1/y1 = 3/4 ......(1)

x2 + y2 = 4160 .....(2) 

From equations (1) and (2)

x2 = Rs. 1600.


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Consider two alloys A and B. 50 kg of alloy A is mixed with 70 kg of alloy B. A contains brass and copper in the ratio 3 : 2, and B contains them in the ratio 4 : 3 respectively. What is the ratio of copper to brass in the mixture? A) 8 : 5 B) 7 : 5 C) 5 : 11 D) 4 : 9 E) 5 : 7

Description : Consider two alloys A and B. 50 kg of alloy A is mixed with 70 kg of alloy B. A contains brass and copper in the ratio 3 : 2, and B contains them in the ratio 4 : 3 respectively. What is the ratio of copper to brass in the mixture? A) 8 : 5 B) 7 : 5 C) 5 : 11 D) 4 : 9 E) 5 : 7

Last Answer : Answer: E Brass in A = 3/5 * 50 = 30 kg, Brass in B = 4/7 * 70 = 40 kg Total brass = 30+40 = 70 kg So copper in mixture is (50+70) – 70 = 50 kg So copper to brass = 50 : 70=5:7

Seats for Mathematics, Science and arts in a school are in the ratio 5:7:8. There is a proposal to increase these seats by X%, Y% and Z% respectively. And the ratio of increased seats is 2:3:4, which of the following is true? A) X = 50; Z = 40 B) Y = 40; Z = 50 C) X = 40; Z = 75 D) X = 50; Z = 40 E) Y = 50; X = 75

Description : Seats for Mathematics, Science and arts in a school are in the ratio 5:7:8. There is a proposal to increase these seats by X%, Y% and Z% respectively. And the ratio of increased seats is 2:3:4, which of the following is true? A) X = ... ; Z = 50 C) X = 40; Z = 75 D) X = 50; Z = 40 E) Y = 50; X = 75

Last Answer : Answer: C Number of increased seats are (140% of 5x), (150% of 7x) and (175% of 8x) i.e., (140/100 * 5x), (150/100 * 7x) and (175/100 * 8x) i.e., 7x, 21x/2 and 14x Required ratio = 7x:21x/2: ... of 8 = 6 total seats 8+6=14 Now compare ratios of all 7:21/2:14=>14:21:28 =>2:3:4

Two numbers are respectively 40% and 60% more than than the third number. The ratio of the two number is A) 6:7 B) 7:8 C) 8:7 D) 7:5 E) None of these

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The number of candidates writing three different entrance exams is in the ratio 4:5:6. There is a proposal to increase these numbers of candidates by 40%, 60% and 85% respectively. What will be the ratio of increased numbers? a) 14:15:16 b) 12:15:19 c)13:19:21 d) 14:16:19 E) None of these

Description : The number of candidates writing three different entrance exams is in the ratio 4:5:6. There is a proposal to increase these numbers of candidates by 40%, 60% and 85% respectively. What will be the ratio of increased numbers? a) 14:15:16 b) 12:15:19 c)13:19:21 d) 14:16:19 E) None of these

Last Answer : Answer : E Given ratio of number of candidates is 4:5:6 Let the number of candidates for 3 exams be 4k, 5k and 6k respectively. After increasing, number of candidates become (140% of 4k), (160% of 5k) & (185% ... 111k/10 Now, the required new ratio is: 56k/100 : 80k/10 : 111k/10 = 56 : 80 : 111

IBM and KTC quote for a tender. On the tender opening day, IBM realizes that their quotations are in the ratio 7 :4 and hence decreases its price during negotiations to make it Rs 1 Lakh lower than KTC's quoted price. KTC realizes that the final quotes of the two were in the ratio 3:4. What was the price at which IBM won the bid? A) Rs 7 Lakh B) Rs 4 Lakh C) Rs 3 Lakh D) Rs 1.5 Lakh

Description :  IBM and KTC quote for a tender. On the tender opening day, IBM realizes that their quotations are in the ratio 7 :4 and hence decreases its price during negotiations to make it Rs 1 Lakh lower than KTC's quoted price. KTC ... won the bid? A) Rs 7 Lakh B) Rs 4 Lakh C) Rs 3 Lakh D) Rs 1.5 Lakh

Last Answer : Answer: C IBM initially quoted Rs 7x lakh. KTC quoted 4x lakh. IBM's final quote =(4x−1) Lakh Thus, (4x-1/4x) = 3/4 = x = 1 IBM's bid winning price = Rs 3 Lakh So IBM wins the bid at 4x−1= Rs 3 lakh.

Two alloys contain platinum and gold in the ratio of 1:2 and 1:3 respectively. A third alloy C is formed by mixing alloys one and alloy two in the ratio of 3:4. Find the percentage of gold in the mixture a) 79.2/7% b) 71.2/7% c) 73.2/7% d) 71.3/7% e) None of these

Description : Two alloys contain platinum and gold in the ratio of 1:2 and 1:3 respectively. A third alloy C is formed by mixing alloys one and alloy two in the ratio of 3:4. Find the percentage of gold in the mixture a) 79.2/7% b) 71.2/7% c) 73.2/7% d) 71.3/7% e) None of these

Last Answer : Answer: D Platinum = 1/3 and 1/4 gold = 2/3 and 3/4 Alloy one and two are mixed in the ratio of 3:4, so ratio of platinum and gold in final ratio – 2:5 So gold % = (5/7)*100 71.3/7%

A bus and a truck are available to cross a jungle. The speed of the truck is thrice that of the bus. The capacity of the truck is 60 persons and that of bus is 40 persons. The average occupancy of the bus is twice that of the truck. The tickets for the bus and the truck cost Re 1 and Re 1.50 respectively. What is the ratio of the average rupee collection of the truck to that of the bus in a day? Assume there is no wastage time between trips and the occupancy of the bus/truck is defined as the ratio of the actual number of persons boarding it and its capacity. a) 9:17 b) 17:9 c) 8:27 d) 27:8 e) None of these

Description : A bus and a truck are available to cross a jungle. The speed of the truck is thrice that of the bus. The capacity of the truck is 60 persons and that of bus is 40 persons. The average occupancy of the bus is twice ... boarding it and its capacity. a) 9:17 b) 17:9 c) 8:27 d) 27:8 e) None of these

Last Answer :  Answer: D Average Rupee collection = Speed× capacity × Occupancy × Ticket rate Ratio of average Rupee collection of truck to that of bus= product of above rate According to question, (3×60×1×1.5):(1×40×2×1)= 270:80=27:8

Three friends Alice, Bond and Charlie divide $1105 amongst them in such a way that if $10, $20 and $15 are removed from the sums that Alice, Bond and Charlie received respectively, then the share of the sums that they got will be in the ratio of 11 : 18 : 24. How much did Charlie receive? a) $495 b) $510 c) $480 d) $375 e) $360

Description : Three friends Alice, Bond and Charlie divide $1105 amongst them in such a way that if $10, $20 and $15 are removed from the sums that Alice, Bond and Charlie received respectively, then the share of the sums that ... 18 : 24. How much did Charlie receive? a) $495 b) $510 c) $480 d) $375 e) $360

Last Answer : Answer: A Let the sums of money received by A, B and C be x, y and z respectively. Then x - 10 : y - 20 : z -15 is 11a : 18a : 24a When $10, $20 and $15 are removed, we are removing a total of $45 from ... or a= 20 We know that z - 15 = 24a = (24 * 20) = 480 Therefore, z = 480 + 15 = $495

Rs 650 was divided among 3 children A,B,C in the ratio 2 : 4 : 7. Had it been divided in the ratio 1/2 : 1/4 : 1/7, who would have gained the most and by how much? A) C, Rs 246 B) C, Rs 264 C) B, Rs 18 D) A, Rs 246 E) A, Rs 264

Description : Rs 650 was divided among 3 children A,B,C in the ratio 2 : 4 : 7. Had it been divided in the ratio 1/2 : 1/4 : 1/7, who would have gained the most and by how much? A) C, Rs 246 B) C, Rs 264 C) B, Rs 18 D) A, Rs 246 E) A, Rs 264

Last Answer : Answer: E New ratio = 1/2 : 1/4 : 1/7 = 14 : 7 : 4 So both ratio suggests that C has not gained any money, rather he has lose the money. For both ratio find the shares of A and B With ratio 2 : 4 : 7 ... [7/(14+7+4)] * 650 = 182 B has also lose the money, A gain the money and = 364 - 100 = 264

The price of a diamond is proportional to the square of its weight. The diamond accidentally fell and broke into four pieces whose weights are in the ratio of 1:2:3:4. If the price fetched is Rs. 70,000 less than the original price, find the original price? a) Rs. 100,000 b) Rs. 70,000 c) Rs. 160,000 d) Rs. 10800 e) Rs. 150,000

Description : The price of a diamond is proportional to the square of its weight. The diamond accidentally fell and broke into four pieces whose weights are in the ratio of 1:2:3:4. If the price fetched is Rs. 70,000 less than the ... a) Rs. 100,000 b) Rs. 70,000 c) Rs. 160,000 d) Rs. 10800 e) Rs. 150,000

Last Answer : Answer: A let price of diamond as kx^2 where k is a constant total price for 4 pieces kx^2[1+4+9+16]=30kx^2 price of original diamond=100kx^2 difference 70kx^2=$70000 or kx^2=1000 original price of the diamond=100*1000=100000

In a bag there are coins of 25p, 10p and 5p in the ratio 1:2:3.If there are Rs.45 in all then find how many 25p coins are there? A) 60 B) 65 C) 70 D) 75 E) None of these

Description : In a bag there are coins of 25p, 10p and 5p in the ratio 1:2:3.If there are Rs.45 in all then find how many 25p coins are there? A) 60 B) 65 C) 70 D) 75 E) None of these

Last Answer : Answer: D [(25x) + (10x × 2) + (5x × 3)] / 100 = 45 [25x + 20x + 15x] / 100 = 45 60 x = 4500 X = 4500/60 = 75

A noodles merchant buys two varieties of noodles the price of the first being twice that of the second. He sells the mixture at Rs 17.50 per kilogram thereby making a profit of 25% . If the ratio of the amounts of the first noodles and the second noodles in the mixture is 2:3, then the respective costs of each noodles are A) Rs 20, Rs 10 B) Rs 24, Rs 12 C) Rs 16, Rs 8 D) Rs 26, Rs 13 E) NONE

Description : A noodles merchant buys two varieties of noodles the price of the first being twice that of the second. He sells the mixture at Rs 17.50 per kilogram thereby making a profit of 25% . If the ratio of the amounts of the first noodles ... , Rs 10 B) Rs 24, Rs 12 C) Rs 16, Rs 8 D) Rs 26, Rs 13 E) NONE

Last Answer : Answer: A

A working partner gets 25% as his commissions after his commissions paid that is equal to Rs.7500, then what is the total profit ? A) Rs.32,000 B) Rs.30,000 C) Rs.37,500 D) Rs.40,000 E) None of these

Description : A working partner gets 25% as his commissions after his commissions paid that is equal to Rs.7500, then what is the total profit ? A) Rs.32,000 B) Rs.30,000 C) Rs.37,500 D) Rs.40,000 E) None of these

Last Answer : Answer: C X=total profit 25/100*[x-7500] = 7500 x-7500 = 7500*100/25 =30,000 x = 37,500

An employer reduces the number of his employees in the ratio of 7:4 and increases their wages in the ratio 3:5. State whether his bill of total wages increases or decreases and in what ratio. a) increases 20:21 b) decreases 21:20 c) increases 21:22 d) decreases 22:21 e) None of these

Description : An employer reduces the number of his employees in the ratio of 7:4 and increases their wages in the ratio 3:5. State whether his bill of total wages increases or decreases and in what ratio. a) increases 20:21 b) decreases 21:20 c) increases 21:22 d) decreases 22:21 e) None of these

Last Answer : Answer: B Let initial employees be 7x and then 4x similarly initial wages be 3y and then 5y so total wage = 21xy initially and then 20xy so wages decreases and ratio = 21:20

The ratio of marks obtained by Vinod and Basu is 6:5. If the combined average of their percentage is 68.75 and their sum of the marks is 275, find the total marks for which exam was conducted. A) 150 B) 200 C) 400 D) 450 E) None

Description : The ratio of marks obtained by Vinod and Basu is 6:5. If the combined average of their percentage is 68.75 and their sum of the marks is 275, find the total marks for which exam was conducted. A) 150 B) 200 C) 400 D) 450 E) None

Last Answer : Answer: B The sum of the marks=6x+5x=11x But the sum of the marks is given as 275=11x. We get x=25x=25 therefore, Vinod's marks is 6x=1506x=150 and Basu's marks = 5x=125. ... Therefore, if their combined average of their percentage is 137.5 then the total marks would be 137.568.75 100=200

The ratio between the present age of Maha and Deepa is 5:X. Maha is 9yrs younger than Parveen.Parveen’s age after 9yrs will be 33yrs. The difference between the Deepa and Maha age is same as the present age of Parveen.Find X. a) 13 b) 10 c) 11 d) 14 e) None of these

Description : The ratio between the present age of Maha and Deepa is 5:X. Maha is 9yrs younger than Parveen. Parveen’s age after 9yrs will be 33yrs. The difference between the Deepa and Maha age is same as the present age of Parveen.Find X. a) 13 b) 10 c) 11 d) 14 e) None of these

Last Answer : Answer: A P present age = 33-9 = 24 M = 24 – 9 =15 D – M = 24 D – 15 = 24 D = 24+15 = 39 15:39 = 5:13 X = 13

Ramana divides two sums of money among his four sons Ganesh, Mahesh, Anil and Sunil. The first sum is divided in the ratio 4: 3: 2: 1 and second in the ratio 5: 6: 7: 8. If the second sum is twice the first, the largest total is received by a) Ganesh b) Mahesh c) Anil d) Sunil e) Both Ganesh and Mahesh

Description : Ramana divides two sums of money among his four sons Ganesh, Mahesh, Anil and Sunil. The first sum is divided in the ratio 4: 3: 2: 1 and second in the ratio 5: 6: 7: 8. If the second sum is ... first, the largest total is received by a) Ganesh b) Mahesh c) Anil d) Sunil e) Both Ganesh and Mahesh

Last Answer : Answer: A Let the first sum be 4x, 3x, 2x, x Second sum be 5y, 6y, 7y, 8y The second sum is twice the first sum 26y = 20x; 13y = 10x Take y=10 x= 13 G:M:A:S 4X+5Y: 3X+6Y: 2X +7Y: X+8Y 102: 99: 96: 93

A bag contains 25p coins, 50p coins and 1 rupee coins whose values are in the ratio of 8:4:2.If the total values of coins is X and the total amount in rupees is Y,then which of the following is true A) X = 840; Y = 360 B) X = 966; Y = 345 C) X = 840; Y = 280 D) X = 740; Y = 260 E) None of these

Description : A bag contains 25p coins, 50p coins and 1 rupee coins whose values are in the ratio of 8:4:2.If the total values of coins is X and the total amount in rupees is Y,then which of the following is true A) X = 840; Y = 360 B) X = 966; Y = 345 C) X = 840; Y = 280 D) X = 740; Y = 260 E) None of these

Last Answer : Answer: A Value is given in the ratio 8:4:2. By option, (8x*0.25) + (4x*0.5) + (2x*1) = 840. So X=840 Y=360

The students in three classes are in the ratio 4 : 6 : 9. If 12 students are increased in each class, the ratio changes to 7 : 9 : 12. Then the total number of students in the three classes before the increase is: a) 95 b) 76 c) 100 d) 114 e) None of these

Description : The students in three classes are in the ratio 4 : 6 : 9. If 12 students are increased in each class, the ratio changes to 7 : 9 : 12. Then the total number of students in the three classes before the increase is: a) 95 b) 76 c) 100 d) 114 e) None of these 

Last Answer : Answer: B Let originally were 4x, 6x and 9x student there in classes receptively. After 12 students increase in each student then students were 7x, 9x and 12x in each class respectively. Now, Total Students = 7x + 9x ... number of student in three classes, = 4x + 6x + 9x = 19x = 19 * 4 = 76. 

An outgoing batch of students wants to gift a PA system worth Rs 4,200 to their school. If the teachers, offer to pay 50% more than the students and an external benefactor gives three times the teacher's contribution, then how much should the teachers donate? A) Rs 600 B) Rs 840 C) Rs 900 D) Rs 1,200 E) NONE

Description : An outgoing batch of students wants to gift a PA system worth Rs 4,200 to their school. If the teachers, offer to pay 50% more than the students and an external benefactor gives three times the teacher's contribution, then ... the teachers donate? A) Rs 600 B) Rs 840 C) Rs 900 D) Rs 1,200 E) NONE

Last Answer : Answer: C The ratio of the share students : teacher: benefactor=1:1.5 : 4.5 So the proportion to teacher's share = 1.5/7 Hence, the teachers would donate 1.5/7×4200=Rs 900

Ganesha, Harish and Raghu started a business with investments of Rs.15000, Rs.18000 and Rs.21000. At the end of the one year, they earned a total profit of Rs.5400. Find the respective shares of Ganesh, Harish and Raghu in the profit (in Rs.) a)1500,1800,2100 b)1360,1800,2240 c)1750,2100,2450 d)1890,2100,2310

Description : Ganesha, Harish and Raghu started a business with investments of Rs.15000, Rs.18000 and Rs.21000. At the end of the one year, they earned a total profit of Rs.5400. Find the respective shares of Ganesh, Harish ... profit (in Rs.) a)1500,1800,2100 b)1360,1800,2240 c)1750,2100,2450 d)1890,2100,2310 

Last Answer : a)1500,1800,2100

Two jars having a capacity of 3 and 5 litres respectively are filled with mixtures of milk and water. In the smaller jar 25% of the mixture is milk and in the larger 25% of the mixture is water. The jars are emptied into a 10 litre cask whose remaining capacity is filled up with water. Find the percentage of milk in the cask. a) 55% b) 50% c) 45% d) 25% e) None of these

Description : Two jars having a capacity of 3 and 5 litres respectively are filled with mixtures of milk and water. In the smaller jar 25% of the mixture is milk and in the larger 25% of the mixture is water. The jars are emptied ... the percentage of milk in the cask. a) 55% b) 50% c) 45% d) 25% e) None of these

Last Answer : Answer: D 0.75+3.75=4.5/10+8*100=4.5/18*100=25%

Shweta deposits a certain amount on 1st January and 1st July (Same amount on both days) in a bank that offers 5% compound interest, compounded half-yearly. Shweta gains interest of Rs.121 at the end of the year. How much money did Shweta deposit? a) 1200 b) 1300 c) 1400 d) 1500 e) 1600

Description : Shweta deposits a certain amount on 1st January and 1st July (Same amount on both days) in a bank that offers 5% compound interest, compounded half-yearly. Shweta gains interest of Rs.121 at the end of the year. How much money did Shweta deposit? a) 1200 b) 1300 c) 1400 d) 1500 e) 1600

Last Answer : Let the amount be P Half yearly rate = 5/2 = 2.5% For the deposit on January, Amount = P (1 + 2.5 / 100)2 For the deposit on July, Amount = P (1 + 2.5 /100) We can solve the question by ... Amount in July = 1600 1.025 = 1640 So total interest = 81 + 40 = 121 Required answer is 1600 Answer: e)