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A sum of Rs. 36,000 is divided into two parts A and B, such that the simple interest at the rate of 15% p.a. on A and B after two years and four years, respectively, is equal. The total interest (in Rs.) received from A is:
Answer & Solution
Correct Answer:
Option
A
\[\begin{array}{*{20}{c}}
A&B \\
x&{36000 - x}
\end{array}\]
$$\eqalign{ & {\text{As per question}} \cr & x \times 30 = \left( {36000 - x} \right) \times 60 \cr & x = 72000 - 2x \cr & x = 24000 \cr & {\text{So interest from }}A \cr & = 24000 \times \frac{{30}}{{100}} \cr & = 7200 \cr} $$
$$\eqalign{ & {\text{As per question}} \cr & x \times 30 = \left( {36000 - x} \right) \times 60 \cr & x = 72000 - 2x \cr & x = 24000 \cr & {\text{So interest from }}A \cr & = 24000 \times \frac{{30}}{{100}} \cr & = 7200 \cr} $$
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