Question : A sum of INR 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 INR) received from A is:
Option 1: 1,800
Option 2: 3,600
Option 3: 7,200
Option 4: 5,400
Correct Answer: 7,200
Solution :
Let the Principal for A be INR $x$.
Then principal for B = $36000 - x$
We know, Simple interest = $\frac{\text{Principal × Rate × Time}}{100}$
According to the question
$\frac{15×x×2}{100} = \frac{[(36000 – x) × 15 × 4]}{100}$
⇒ $x = 2(36000-x)$
⇒ $x = 24000$
Then simple interest of A in two years = $\frac{15×x×2}{100}=\frac{15×24000×2}{100}
= 7200$
Hence, the correct answer is 7,200.
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