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Aptitude · Q113

Compound Interest

Competitive Exams · Aptitude · question 113

Q113

A loan is to be returned in two equal yearly instalments. If the rate of interest is 10% p.a. compounded annually and each instalment is Rs. 5,808, then 60% of the total interest (nearest to a Rs.) charge in this scheme is:

A.
917
B.
922
Answer
C.
913
D.
911

Answer: Option B

Solution

Answer: Option B
Solution:
10% =
\begin{array}{*{20}{c}} {}&{{\text{Principal}}\,\,\,\,\,\,\,\,\,{\text{Interest}}} \\ {{\text{I}} \to }&{{{10}_{ \times 11 = 110}}\,\,\,\,\,{{11}_{ \times 11 = 121}}} \\ {{\text{II}} \to }&{{{10}^2}_{ = 100}\,\,\,\,\,\,\,\,\,\,{{11}^2}_{ = 121}} \\ {{\text{Total}} \to }&{\overline {\underline {\,210\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,242\,\,\,} } } \end{array}
Total interest on sum = 242 - 210 = 32 units
121 units → 5808
1 unit → 48
32 units → 48 × 32 = 1536
Total interest of 60% = 1536 ×
= Rs. 921.6 ∼ Rs. 922