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Aptitude · Q153

Compound Interest

Competitive Exams · Aptitude · question 153

Q153

Surekha borrowed a sum of money and returned it in two equal instalments of Rs. 5,547 each. If the rate of interest was 71/2\% p.a. compounded yearly, then the total interest paid by her was:

Surekha borrowed a sum of money and returned it in two equal instalments of Rs. 5,547 each. If the rate of interest was  p.a. compounded yearly, then the total interest paid by her was:
A.
Rs. 1,144
B.
Rs. 1,096
C.
Rs. 1,126
D.
Rs. 1,134
Answer

Answer: Option D

Solution

Answer: Option D
Solution:

\begin{array}{*{20}{c}} {}&{{\text{Principal}}}&{}&{{\text{Amout}}} \\ {{\text{One year}} \to }&{40 \times 43}&:&{43 \times 43} \\ {{\text{Two year}} \to }&{{{40}^2}}&:&{{{43}^2}} \end{array}
43 × 43 units → 5547
1 unit → 3
Interest in first year = 43 × 3 = 129 units
Second year = 1849 - 1600 = 249 units
Total interest = 129 + 249 = 378 units
378 units → 378 × 3 = Rs. 1134