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Simple Interest

Important Instructions
91.

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?

Answer: C

(3500*1.5*3)/100 => 157.50

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92.

Sonika deposited Rs.8000 which amounted to Rs.9200 after 3 years at simple interest. Had the interest been 2% more. She would get how much?

Answer: A

(8000*3*2)/100 = 480

                            9200

                           --------

                           9680

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93.

Rs. 20400 was divided in two parts and then invested. One part invested at 6.25% for 8 years yields the same interest as the other part invested at 7% for 5 years. What is the value of smaller part?

Answer: B

No answer description available for this question.

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94.

A sum of Rs. 2665 is lent into two parts so that the interest on the first part for 8 years at 3% per annum may be equal to the interest on the second part for 3 years at 5% per annum. Find the second sum?

Answer: B

(x*8*3)/100 = ((2665 - x)*3*5)/100

24x/100 = 39975/100 - 15x/100

39x = 39975 => x = 1025

 

Second sum = 2665 – 1025 = 1640

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95.

A sum of money triples itself in twelve years at simple interest. Find the rate of interest?

Answer: D

Let the pricipal be Rs. x, then amount = 3x(where R = rate of interest) => Interest = 3x - x = Rs. 2x

R = (100 * 2x)/(x * 12) = 50/3 % = 16 2/3 %

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96.

Anil invested a sum of money at a certain rate of simple interest for a period of five years. Had he invested the sum for a period of eight years for the same rate, the total intrest earned by him would have been sixty percent more than the earlier interest amount. Find the rate of interest p.a.

Answer: D

Let the sum be Rs.P. Let the rate of interest be R% p.a.

(P)(8)(R)/100 = [1 + 6/100][ (P)(5)(R) /100] = 1.6{5PR/100]

8PR/100 = 8PR/100 which is anyway true.

R cannot be found.

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97.

The simple interest accrued on an amount Rs.10,000 at the end of two years is same as the compound interest on Rs.8,000 at the end of two years. The rate of interest is same in both the cases. What is the rate of interest?

Answer: D

Given that Rs.10,000 is invested in S.I for two years and Rs.8,000 in C.I for two years 

=>  C.I - S.I

=> 8,000 { [1 + r/100]2   - 1} = (10,000)2r /100

=> 8{ 1 + 2r/100 + r2 / (100)2 - 1} = r/5 

=> 16r/100 + 8r2/(100)2 = 20r/100

 => 4r/10 = 8r2/(100)2 

=> 8[r/100]2 - 4r/100 = 0 

=> r/100 {8r/100 -4} = 0 

=> r = 0% of 50% 

Since r!= 0%, r =50%

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98.

1/5 part of an amount was given at 3% simple interest, 1/3 part was given at 5% simple interest, 2/5 parts at 9% simple interest and remaining part at 11% simple interest. The total interest received was Rs.297. How much amount was originally given?

Answer: A

No answer description available for this question.

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99.

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?

Answer: C

No answer description available for this question.

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100.

In how much time would the simple interest on a certain sum be 0.125 times the principal at 10% per annum?

Answer: A

Let sum = x. Then, S.I. = 0.125x = 1/8 x, R = 10%

Time = (100 * x) / (x * 8 * 10) = 5/4 = 1 1/4 years.

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