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In how many years a sum will be thrice of it at the rate of 10% per annum?

A.

15 years

B.

20 Years

C.

30 years

D.

40 years

Answer with explanation

Answer: Option BExplanation

Let the sum be Rs. x .

Then S.I = Rs (3x – x) = Rs 2x x × 10/100 × t = 2x

=> t = 20 Years

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A borrows Rs.800 at the rate of 12 % per annum. Simple interest and B borrows Rs.910 at the rate of 10 % per annum simple interest. In how many years will their amounts at debts be equal?

A.

18 years

B.

20years

C.

22 years

D.

24 years

Answer with explanation

Answer: Option CExplanation

Let the required time be x years.

Then 800 + 800 x 12/100 × x = 910 + 910 x 10/100 × x

=> (96x -91 x) = 110

=> 5x =110

=> x =22

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The simple interest on a sum of money will be Rs. 600 after 10 years. If the principal is trabled after 5 years which will be the total interest at the end of the tenth year?

A.

Rs. 600

B.

Rs. 900

C.

Rs. 1200

D.

data inadequate

Answer with explanation

Answer: Option CExplanation

Sum = Rs.x.

S.I = Rs. 600

Time = 10 years

Rate =

= (6000/x)% per annum.

S.I on Rs. X for 1^{st} five years

= Rs. (x X 6000/x X 5 X 1/100) = Rs. 900

Total interest = Rs. (300+900) = Rs. 1200

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Rs. 800 amounts to Rs. 920 in 3 years at simple interest if the interest rate is increased by 3 %, it would amount to how much?

A.

Rs. 1056 Rs. 1112

B.

Rs. 1112

C.

Rs. 1182

D.

Rs. 992

Answer with explanation

Answer: Option DExplanation

Principal = Rs. 800

S.I = Rs (920-800) = Rs.120 and Time = 3 years

Original rate = = 5 %

New Rate = 8 %

S.I = Rs. = Rs. 192.

Amount = Rs. 992

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A.

Rs. 5000

B.

Rs. 6500

C.

Rs. 8000

D.

Cannot be determined

Answer with explanation

Answer: Option AExplanation

Let x, y and z be the amount invested in schemes A, B and C respectively. Then,

(x * 10 * 1)/100 + (y * 12 * 1)/100 + (z * 15 * 1)/100 = 3200

10x + 12y + 15z = 320000

Now, z = 240% of y = 12/5 y

And, z = 150% of x = 3/2 x

x = 2/3 z = ( 2/3 * 12/5) y = 8/5 y

16y + 12y + 36y = 320000

y = 5000

Sum invested in scheme B = Rs. 5000.

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The difference between the simple interest received from two different sources on Rs. 1500 for 3 years is Rs. 13.50. The difference between their rates of interest is?

A.

0.1%

B.

0.2%

C.

0.3%

D.

0.4%

Answer with explanation

Answer: Option CExplanation

(1500 * R_{1} * 3)/100 – (1500 * R_{2} * 3)/100 = 13.50 4500(R_{1} – R_{2}) = 1350

R_{1} – R_{2} = 0.3%

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A lends Rs. 2500 to B and a certain to C at the same time at 7% p.a. simple interest. If after 4 years, A altogether receives Rs. 1120 as interest from B and C, then the sum lent to C is?

A.

Rs. 700

B.

Rs. 1500

C.

Rs. 4000

D.

Rs. 6500

Answer with explanation

Answer: Option BExplanation

Let the sum lent to C be Rs. x. Then,

(2500 * 7 * 4) / 100 + (x * 7 * 4) / 100 = 1120

7/25 x = (1120 – 700) => x = 1500

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A sum of money lent out at S.I. amounts to Rs. 720 after 2 years and to Rs. 1020 after a further period of 5 years. The sum is?

A.

Rs. 500

B.

Rs. 600

C.

Rs. 700

D.

Rs. 710

Answer with explanation

Answer: Option BExplanation

S.I for 5 years = (1020 – 720) = Rs. 300.

S.I. for 2 years = 300/5 * 2 = Rs. 120.

Principal = (720 – 120) = Rs. 600.

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Rs. 800 becomes Rs. 956 in 3 years at a rate of S.I. If the rate of interest is increased by 4%, what amount will Rs. 800 become in 3 years?

A.

Rs. 1020.80

B.

Rs. 1025

C.

Rs. 1052

D.

Rs. 1052

Answer with explanation

Answer: Option DExplanation

S.I. = (956 – 800) = Rs. 156.

Rate = (100 * 156) / (800 * 3) = 6 1/2 %

Now rate = (6 1/2 + 4) = 10 1/2 %

New S.I. = (800 * 21/2 * 3/100) = Rs. 252

New amount = (800 + 252) = Rs. 1052.

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A man took loan from a bank at the rate of 12% p.a. S.I. After 3 years he had to pay Rs. 5400 interest only for the period. The principal amount borrowed by him was?

A.

Rs. 2000

B.

Rs. 10000

C.

Rs. 15000

D.

Rs. 20000

Answer with explanation

Answer: Option CExplanation

Principal = (100 * 5400) / (12 * 3) = Rs. 15000

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A.

Rs.3,870

B.

Rs.5,355

C.

Rs.3,855

D.

Rs.3600

Answer with explanation

Answer: Option BExplanation

Let the sum lent by Manoj to Ramu be Rs.P.

Amount gained by Manoj = P. 3.9 /100 = 3450.3.6/100 = Rs.824.85

27P = 62100 = 82485

P = (82485 + 62100)/27 = 3055 + 2300 = Rs.5355

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A certain sum becomes four times itself at simple interest in eight years. In how many years does it become ten times itself?

A.

21

B.

25

C.

23

D.

24

Answer with explanation

Answer: Option DExplanation

Let the sum be Rs. x, then it becomes Rs. 4x in eight years Rs. 3x is the interest on x for eight years.

R = (100 * 3x)/(x * 8) = 300/8 %

If the sum becomes ten times itself, then interest is 9x.

The required time period = (100 * 9x)/(x * 300/8) = (100 * 9x * 8)/(x * 300) = 24 years.

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If A lends Rs.3500 to B at 10% per annum and B lends the same sum to C at 11.5% per annum then the gain of B in a period of 3 years is

A.

Rs.107.50

B.

Rs.115.50

C.

Rs.157.50

D.

Rs.177.50

Answer with explanation

Answer: Option CExplanation

(3500*1.5*3)/100 => 157.50

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A sum of money becomes triple itself in 5 years at simple interest. How many years will it become six times at the same rate?

A.

12 1/2 years

B.

12 years

C.

11 1/2 years

D.

11 years

Answer with explanation

Answer: Option AExplanation

100 —- 200 —- 5

200 —- 5

100 —- 2 1/2

——————

600 —- 12 ½ years

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Rs.1500 is divided into two parts such that if one part is invested at 6% and the other at 5% the whole annual interest from both the sum is Rs.85. How much was lent at 5%?

A.

Rs.1000

B.

Rs.750

C.

Rs.600

D.

Rs.500

Answer with explanation

Answer: Option DExplanation

(x*5*1)/100 + [(1500 – x)*6*1]/100 = 85

5x/100 + 90 – 6x/100 = 85

x/100 = 5

=> x = 500

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Rs.2500 is divided into two parts such that if one part be put out at 5% simple interest and the other at 6%, the yearly annual income may be Rs.140. How much was lent at 5%?

A.

Rs.1500

B.

Rs.1300

C.

Rs.1200

D.

Rs.1000

Answer with explanation

Answer: Option DExplanation

(x*5*1)/100 + [(2500 – x)*6*1]/100 = 140

X = 1000

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If simple interest on a certain sum of money for 8 years at 4% per annum is same as the simple interest on Rs. 560 for 8 years at the rate of 12% per annum then the sum of money is

A.

Rs.1820

B.

Rs.1040

C.

Rs.1120

D.

Rs.1680

Answer with explanation

Answer: Option DExplanation

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A man invests a certain sum of money at 6% per annum simple interest and another sum at 7% per annum simple interest. His income from interest after 2 years was Rs. 354. One-forth of the first sum is equal to one-fifth of the second sum. The total sum invested was :

A.

Rs.3100

B.

Rs.2700

C.

Rs.2200

D.

Rs.1800

Answer with explanation

Answer: Option BExplanation

Let the man invests Rs.x at 6% and Rs.y at 7%

Simple Interest on Rs.x at 6% for 2 years + Simple Interest on Rs.y at 7% for 2 years = Rs.354

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If a sum of Rs. 9 is lent to be paid back in 10 equal monthly installments of re. 1 each, then the rate of interest is

A.

11.33%

B.

11%

C.

266.67%

D.

26.67%

Answer with explanation

Answer: Option DExplanation

Amount borrowed = Rs.9

Let rate of interest = R%

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A lent Rs. 5000 to B for 2 years and Rs. 3000 to C for 4 years on simple interest at the same rate of interest and received Rs. 2200 in all from both of them as interest. The rate of interest per annum is:

A.

5%

B.

10%

C.

7%

D.

8%

Answer with explanation

Answer: Option BExplanation

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A certain amount earns simple interest of Rs. 1200 after 10 years. Had the interest been 2% more, how much more interest would it have earned?

A.

Rs. 25

B.

Rs. 120

C.

Cannot be determined

D.

Rs. 125

Answer with explanation

Answer: Option CExplanation

Since we do not have the principal and rate of interest, we can not find out the required details.

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A sum fetched a total simple interest of Rs. 929.20 at the rate of 8 p.c.p.a. in 5 years. What is the sum?

A.

Rs. 2323

B.

Rs. 1223

C.

Rs. 2563

D.

Rs. 2353

Answer with explanation

Answer: Option AExplanation

SI = Rs.929.20

P = ?

T = 5 years

R = 8%

P = 100×SI/RT=100×929.20/8×5 = Rs.2323

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