16.
The principal that will yield Rs. 60 as simple interest at 6% per annum in 5 years is
• A.
Rs. 175
• C.
Rs. 200
• B.
Rs. 350
• D.
None of these
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Explanation :

Here, I = Rs. 60, R = 6% per annum, T = 5 years.

Principal (P) = 100 x I = 100 x 60  = Rs. 200
R x T 6 x 5

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17.
Mr. Mani invested an amount of Rs. 12000 at the simple interest rate of 10% per annum and another amount at the simple interest rate of 20% per annum. The total interest earned at the end of one year on the total amount invested became 14% per annum. Find the total amount invested.
• A.
Rs. 20000
• C.
Rs. 21000
• B.
Rs. 20800
• D.
None of these
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Explanation :

Here, P1 = Rs. 12000, R1 = 10%, P2 = ?, R2 = 20%, R = 14%

Therefore, using the formula

 R = P1R1 + P2R2 P1 + P2

 We get, 14 = 12000 x 10 + P2 x 20 12000 + p2

or, P2 = Rs. 8000

 Total amount invested = Rs.(12000 + 8000) = Rs. 20000

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18.
The rate percent per annum at which Rs. 1200 amount to Rs. 1440 in 4 years, is
• A.
5%
• C.
6%
• B.
4%
• D.
None of these
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Explanation :

We have, P = Rs. 1200, T = 4 years,  I = 1440-1200 = Rs. 240

Rate (R) = 100 x I = 100 x 240  = 5% p.a.
P x T 1200 x 4

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19.
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%
•  C.7 1 % 8
• B.
7%
• D.
10%
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Explanation :

 Let the rate be R% p.a. Then, 5000 x R x 2 + 3000 x R x 4 = 2200 100 100

100R + 120R = 2200

R =   2200    = 10.
220

 Rate = 10%

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20.
Nitin borrowed some money at the rate of 6% per annum for the first three years, 9% per annum for the next five years and 13% per annum for the period beyond eight years. If the total interest paid by him at the end of eleven years is Rs. 8160, how much money did he borrow?
• A.
Rs. 8000
• C.
Rs. 12,000
• E.
None of these
• B.
Rs. 10,000
• D.
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Explanation :

Let the sum be Rs. X. Then,

 x x 6 x 3 + x x 9 x 5 + x x 13 x 3 = 8160 100 100 100

 18x + 45x + 39x = (8160 x 100)

 102x = 816000

 x = 8000.

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