What will be the ratio of simple interest earned by certain amount at the same rate of interest for 8 years and that for 10 years?

Exercise :: Simple Interest - General Questions

11. 

A sum of money amounts to Rs. 9800 after 5 years and Rs. 12005 after 8 years at the same rate of simple interest. The rate of interest per annum is:

Answer: Option C

Explanation:

S.I. for 3 years = Rs. (12005 - 9800) = Rs. 2205.

S.I. for 5 years = Rs.
What will be the ratio of simple interest earned by certain amount at the same rate of interest for 8 years and that for 10 years?
2205 x 5
What will be the ratio of simple interest earned by certain amount at the same rate of interest for 8 years and that for 10 years?
= Rs. 3675
3

What will be the ratio of simple interest earned by certain amount at the same rate of interest for 8 years and that for 10 years?
Principal = Rs. (9800 - 3675) = Rs. 6125.

Hence, rate =
What will be the ratio of simple interest earned by certain amount at the same rate of interest for 8 years and that for 10 years?
100 x 3675
What will be the ratio of simple interest earned by certain amount at the same rate of interest for 8 years and that for 10 years?
%
= 12%
6125 x 5

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12. 

What will be the ratio of simple interest earned by certain amount at the same rate of interest for 6 years and that for 9 years?

A. 1 : 3
B. 1 : 4
C. 2 : 3
D. Data inadequate
E. None of these

Answer: Option C

Explanation:

Let the principal be P and rate of interest be R%.

What will be the ratio of simple interest earned by certain amount at the same rate of interest for 8 years and that for 10 years?
Required ratio =
What will be the ratio of simple interest earned by certain amount at the same rate of interest for 8 years and that for 10 years?
P x R x 6
What will be the ratio of simple interest earned by certain amount at the same rate of interest for 8 years and that for 10 years?
100
= 6PR = 6 = 2 : 3.
What will be the ratio of simple interest earned by certain amount at the same rate of interest for 8 years and that for 10 years?
P x R x 9
What will be the ratio of simple interest earned by certain amount at the same rate of interest for 8 years and that for 10 years?
100
9PR 9

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Page 2

Exercise :: Simple Interest - General Questions

6. 

A sum of Rs. 12,500 amounts to Rs. 15,500 in 4 years at the rate of simple interest. What is the rate of interest?

A. 3%
B. 4%
C. 5%
D. 6%
E. None of these

Answer: Option D

Explanation:

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7. 

An automobile financier claims to be lending money at simple interest, but he includes the interest every six months for calculating the principal. If he is charging an interest of 10%, the effective rate of interest becomes:

A. 10%
B. 10.25%
C. 10.5%
D. None of these

Answer: Option B

Explanation:

Let the sum be Rs. 100. Then,

S.I. for first 6 months = Rs.
What will be the ratio of simple interest earned by certain amount at the same rate of interest for 8 years and that for 10 years?
100 x 10 x 1
What will be the ratio of simple interest earned by certain amount at the same rate of interest for 8 years and that for 10 years?
= Rs. 5
100 x 2

S.I. for last 6 months = Rs.
What will be the ratio of simple interest earned by certain amount at the same rate of interest for 8 years and that for 10 years?
105 x 10 x 1
What will be the ratio of simple interest earned by certain amount at the same rate of interest for 8 years and that for 10 years?
= Rs. 5.25
100 x 2

So, amount at the end of 1 year = Rs. (100 + 5 + 5.25) = Rs. 110.25

What will be the ratio of simple interest earned by certain amount at the same rate of interest for 8 years and that for 10 years?
Effective rate = (110.25 - 100) = 10.25%

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