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

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
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1 Answer

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

 = 1500/ 85×4

 = 75/17

image
required ratio is: 12:5
 Given that total amount is Rs.8500.
 Therefore, the amount lent at 5% per annum (part1 amount) = 8500x12/17
 = 6000 
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Some amount out of Rs. 10000 was lent at 6 % p.a. and the remaining at 4% p.a. If the total simple interest from both the fractions in 5 years was Rs. 1500, then the ratio of the 2 different amount is A)1:3 B)3:1 C)1:4 D)3:2

Description : Some amount out of Rs. 10000 was lent at 6 % p.a. and the remaining at 4% p.a. If the total simple interest from both the fractions in 5 years was Rs. 1500, then the ratio of the 2 different amount is A)1:3 B)3:1 C)1:4 D)3:2

Last Answer : A)1:3

Two equal sums are lent at the same time at 6% and 5 % simple interest respectively. The former is recovered 24 months earlier than the latter. And the amount in each case is Rs. 2400. Find the sum of money lent initially. a) 1500 b) 2000 c) 2400 d) 3000 e) 3600

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Last Answer : Let the sum be S, time be ‘n’ years for 6%. n+2 years for 5% 2400 = S + S ×n × 6/100 2400 = S + S × (n+2) × 5/100 So, 6n = 5(n+2) or n = 10 years. 2400 = S + S × 10 × 6/100 = 1.6S S = 2400/1.6 = 1500 Answer: a)

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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 

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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

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

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

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

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A sum of Rs. 1550 was lent partly at 5% and partly at 8% per annum simple interest. The total interest received after 4 yr was Rs. 400. The ratio of the money lent at 8% to that lent at 5% is? (a) 15:16 (b) 16:17 (c) 19:17 (d) 21:26 (e) 20:17

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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

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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

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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

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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

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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

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A portion of Rs.6600 is invested at a 5% per annum, while the remainder is invested at a 3% per annum. If the annual income from the portion earning a 5% per annum is twice that of the other portion, what is the total income from the two investments after one year? a) Rs.270 b) Rs.370 c) Rs.250 d) Rs.280 e) None of these

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The annual payment of Rs. 200 in 5 yr at 5% per annum simple interest will discharge a debt of? (a) Rs. 950 (b) Rs. 800 (c) Rs. 1000 (d) Rs. 1250 (e) None of the above

Description : The annual payment of Rs. 200 in 5 yr at 5% per annum simple interest will discharge a debt of? (a) Rs. 950 (b) Rs. 800 (c) Rs. 1000 (d) Rs. 1250 (e) None of the above

Last Answer : e) None of the above

Accumulated sum at the end of 5 years, if Rs. 10000 is invested now at 10% interest per annum on a compound basis is Rs. (A) 15000 (B) 16105 (C) 18105 (D) 12500

Description : Accumulated sum at the end of 5 years, if Rs. 10000 is invested now at 10% interest per annum on a compound basis is Rs. (A) 15000 (B) 16105 (C) 18105 (D) 12500

Last Answer : (B) 16105

Gokul purchases 10 goats at Rs. 1500 each. 1 goat died. He sold 2 goats at 5% loss, at what rate he should sale the remaining goat, so as to gain a Profit of 10 % on the total Cost?

Description : Gokul purchases 10 goats at Rs. 1500 each. 1 goat died. He sold 2 goats at 5% loss, at what rate he should sale the remaining goat, so as to gain a Profit of 10 % on the total Cost?

Last Answer : Selling Price with Profit of 10 % of total cost = 1500*10*110/100 = 16500 Selling Price of 2 goat with 5% loss= 3000*95/100 = 2850 Difference = 16500-2850= 13650 So rate of the goats for selling to gain 10% profit on total = 13650/7 = Rs. 1950

A, B and C are 3 partners in a business. Their investments are respectively Rs 2000, Rs 4,000 and Rs 3,000. A gets 30% of total profit for managing the business. The remaining profit is divided among them in the ratio of their investments. At the end of the year, the profit of Ais Rs 1100 less than the sum of the profit of B and C. What amount of income will C get? A) Rs 2100.75 B) Rs 2887.5 C) Rs 2705.75 D) Rs 2546.25

Description : A, B and C are 3 partners in a business. Their investments are respectively Rs 2000, Rs 4,000 and Rs 3,000. A gets 30% of total profit for managing the business. The remaining profit is divided among them in the ratio ... of income will C get? A) Rs 2100.75 B) Rs 2887.5 C) Rs 2705.75 D) Rs 2546.25

Last Answer : Answer: B) The ratio of profit of A, B and C is 2000:4000:3000=2:4:3. Let the annual profit be P. Then, A will get 0.3p for managing the business. And, remaining 0.7p will be distributed in the ratio of their ... ⇒ 7/9 0.7p−2/9 0.7p−0.3p=1100 ⇒ p=12,375 So, C's share=3/9 0.7p=Rs 2887.5

If the effective plan area of a warehouse is 54 sq. m, and maximum height of piles permitted is 270 cm, the number of cement bags to be stored, is (A) 2000 bags (B) 2200 bags (C) 2400 bags (D) 2700 bags

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Last Answer : (A) Rs. 31050

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)

A sum of Rs. 1521 is lent out in two parts in such a way that the interest on one part at 10% for 5 yr is equal to that of another part at 8% for 10 yr. What will be the two parts of sum? (a) Rs.946 and Rs.565 (b) Rs.986 and Rs.515 (c) Rs.956 and Rs.505 (d) Rs.936 and Rs.585 (e) None of the above

Description : A sum of Rs. 1521 is lent out in two parts in such a way that the interest on one part at 10% for 5 yr is equal to that of another part at 8% for 10 yr. What will be the two parts of sum? (a) Rs.946 and ... ) Rs.986 and Rs.515 (c) Rs.956 and Rs.505 (d) Rs.936 and Rs.585 (e) None of the above

Last Answer : (d) Rs.936 and Rs.585

P,Q, R enter into a partnership.P initially invests Rs 54 lakh and withdraws Rs 18 lakhs after 4 years. Q initially Rs 72 lakh ans adds another Rs 18 lakhs after 6 years and R invests Rs 108 lakh and adds another Rs 18 lakh few years. At the end of 10 years profit Of R is equal to sum of profit of P and Q. Then for how many years did R invests Rs 126 lakh per annum A) 5 B) 7 C) 8 D) 11

Description : P,Q, R enter into a partnership.P initially invests Rs 54 lakh and withdraws Rs 18 lakhs after 4 years. Q initially Rs 72 lakh ans adds another Rs 18 lakhs after 6 years and R invests Rs 108 lakh and adds another ... Then for how many years did R invests Rs 126 lakh per annum A) 5 B) 7 C) 8 D) 11 

Last Answer : Answer: C) Ratio of their profit P, Q, R is 54*4+36*6:72*6+90*4:108*x+126*(10-x) =12:22:35 - 0.5x Profit of R=profit of P +profit of Q 35-0.5x=12+22 X=2 year The number of years for R invests Rs 126 lakh =10-2=8years

A 3.2 m diameter balloon is filled with Helium. The total weight of balloon, gas and pay load is 10 kg kg. In an isothermal atmosphere having conditions identical to N.T.P. the balloon will rise to a height of about a.6000 m b.1500 m c.3000 m d.2000 m e.1000 m

Description : A 3.2 m diameter balloon is filled with Helium. The total weight of balloon, gas and pay load is 10 kg kg. In an isothermal atmosphere having conditions identical to N.T.P. the balloon will rise to a height of about a.6000 m b.1500 m c.3000 m d.2000 m e.1000 m

Last Answer : a. 6000 m

Three partners A, B, C invest a total sum of Rs,114000. At the end of the year A gets Rs 6000 and B gets 5000 and C gets Rs 8000 as profit. Find the average amount invested by A and C. A) 46677 B) 42000. C) 53000. D) None

Description : Three partners A, B, C invest a total sum of Rs,114000. At the end of the year A gets Rs 6000 and B gets 5000 and C gets Rs 8000 as profit. Find the average amount invested by A and C. A) 46677 B) 42000. C) 53000. D) None

Last Answer : Answer: B)  Profits of A,B &C is 6000,5000, 8000 rupees  Ratio of their profits is, A:B:C =6:5:8 Investment of A,B,C be 6x,5x,8x 6x+5x+8x=114000 =>x=6000 Average amount invested by A &C is 6000/2 *14 =Rs.42000

A machine costs Rs. 20000 and its useful life is 8 years. The money is borrowed at 8% interest per annum. The capital recovery factor at 8% interest per annum for 8 years is 0.174. The annual equipment cost of the machine will be (A) Rs. 1740 (B) Rs. 3480 (C) Rs. 5220 (D) Rs. 6960

Description : A machine costs Rs. 20000 and its useful life is 8 years. The money is borrowed at 8% interest per annum. The capital recovery factor at 8% interest per annum for 8 years is 0.174. The annual equipment cost of the machine will be (A) Rs. 1740 (B) Rs. 3480 (C) Rs. 5220 (D) Rs. 6960

Last Answer : (B) Rs. 3480

What is the rate of interest in PPF wef 01 Apr 12 ? a) 8.8% per annum compounded yearly b) 8.5% per annum compounded yearly c) 8.6 % per annum compounded yearlyd) None of these

Description : What is the rate of interest in PPF wef 01 Apr 12 ? a) 8.8% per annum compounded yearly b) 8.5% per annum compounded yearly c) 8.6 % per annum compounded yearly d) None of these

Last Answer : a) 8.8% per annum compounded yearly

Randeep invests Rs. 25,200 in buying shares of face value of Rs. 40 each at 5% premium. The dividend on these shares is 10% per annum. Find the divide

Description : Randeep invests Rs. 25,200 in buying shares of face value of Rs. 40 each at 5% premium. The dividend on these shares is 10% per annum. Find the divide

Last Answer : Randeep invests Rs. 25,200 in buying shares of face value of Rs. 40 each at 5% premium. The dividend on these ... B. Rs. 2400 C. Rs. 4200 D. Rs. 3680

Difference between the compound interest and the simple interest accrued on an amount of Rs. 18000 in two year is Rs. 405. What was the rate of interest? 1) 14% 2) 16% 3) 12.5% 4) 15% 5) 15.5%

Description : Difference between the compound interest and the simple interest accrued on an amount of Rs. 18000 in two year is Rs. 405. What was the rate of interest? 1) 14% 2) 16% 3) 12.5% 4) 15% 5) 15.5%

Last Answer : 4) 15%

A dealer sold a Radio at a loss of 2.5%. Had he sold it for Rs. 100 more, he would have gained 7.5%. To gain 12.5% he should sell it for : A. Rs 2200 B. Rs 1000 C. Rs 1100 D. Rs 1125

Description : A dealer sold a Radio at a loss of 2.5%. Had he sold it for Rs. 100 more, he would have gained 7.5%. To gain 12.5% he should sell it for : A. Rs 2200 B. Rs 1000 C. Rs 1100 D. Rs 1125

Last Answer : Answer – D. Rs.1125 Explanation – Let C.P be Rs.x then,(107.5 % of x) – (97.5 % of x) = 100 => 10% of x = 100 => x =1000 ∴ desired S.P = 112.5 % of Rs. 100 = Rs.(225/2 x 1/100 x 1000) =Rs. 1125

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%

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%

The weight of reinforced concrete, is generally taken as (A) 2200 kg/m3 (B) 2300 kg/m3 (C) 2400 kg/m3 (D) 2500 kg/m

Description : The weight of reinforced concrete, is generally taken as (A) 2200 kg/m3 (B) 2300 kg/m3 (C) 2400 kg/m3 (D) 2500 kg/m

Last Answer : Answer: Option C

A sum of money is to be distributed among A, B, C, D in the proportion of 5:2:4:3. If C gets Rs. 1000 more than D, what is B's share? A) Rs. 500 B) Rs. 1500 C) Rs. 2000 D) Rs.2500 E) NONE

Description : A sum of money is to be distributed among A, B, C, D in the proportion of 5:2:4:3. If C gets Rs. 1000 more than D, what is B's share? A) Rs. 500 B) Rs. 1500 C) Rs. 2000 D) Rs.2500 E) NONE

Last Answer : Answer: C Let the shares of A, B, C, D be Rs. 5x, Rs. 2x, Rs. 4x and Rs. 3x respectively. Then, 4x−3x=1000 ⇒x=1000. B's share =Rs.2x=Rs.(2×1000)= Rs. 2000