11.
In how many years, Rs. 150 will produce the same interest @ 8% as Rs. 800 produce in
 3 years @ 4 1 % ? 2
• A.
6 years
• C.
9 years
• B.
8 years
• D.
12 years
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Explanation :

 P = Rs. 800, R = 4 1 % = 9 %, T = 3 years. Then, 2 2

 S.I. = Rs. 800 x 9 x 3 = Rs. 108 2 100

Now, P = Rs. 150, S.I. = Rs. 108, R = 8%

Time =   100 x 108    years = 9 years.
150 x 8

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12.
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%
• C.
5%
• E.
None of these
• B.
4%
• D.
6%
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Explanation :

S.I. = Rs. (15500 - 12500) = Rs. 3000.

 Rate = 100 x 3000 % = 6% 12500 x 4

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13.
A sum is lent at C.I. for 2 years at 10%. It will yield Rs. 500 more when the interest is received half � yearly. Find the sum lent.
• A.
135270
• C.
135720
• B.
135702
• D.
135072
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Explanation :

Let the sum lent out be Rs. P. If 10% is per annum, for 6 months

 It is 5%. r = 10%, r = 5%

 Given that P 1 + r 4 - P 1 + r 2 = 500 100 100

p
 1 + 5 100
4 -
 1 + 10 100
2    = 500

P
 21 x 21 x 21 x 21 - 11 x 11 20 20 20 20 10 10
= 500

 P 400

 21 x 21 x 21 x 21 400
- 22 x 22    = 500

 P 400

 441 x 441 - 484 x 400 400
= 500

 P = 500 x 400 x 400 = Rs. 1,35,072 194181 - 19360

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14.
Find the interest due after 120 days for Rs. 3800 at 10%
• A.
124.93
• C.
125.59
• B.
123.01
• D.
126.47
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Explanation :

 SI = 3800 x 10 x 120 = 124.93 100 365

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15.
Find the rate of interest at which Rs. 100 becomes Rs. 200 in 10 years.
• A.
10%
• C.
8%
• B.
15%
• D.
17%