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Question : Sudeep invested $\frac{1}{8}$th of a certain sum at 5% p.a. for two years and $\frac{3}{5}$th of the sum at 6% p.a. for two years and the remaining at 10% p.a. for two years. If the total interest received is INR 1,674, then the total sum invested is:

Option 1: INR 13,000

Option 2: INR 12,000

Option 3: INR 10,500

Option 4: INR 12,500


Team Careers360 13th Jan, 2024
Answer (1)
Team Careers360 17th Jan, 2024

Correct Answer: INR 12,000


Solution : Let total sum be INR $x$.
Remaining part $=x - \frac{x}{8} - \frac{3x}{5}=\frac{40x - 5x - 24x}{40}=\frac{11x}{40}$
According to the question
⇒ $\frac{(x × \frac{1}{8} × 5 × 2)}{100} + \frac{(x × \frac{3}{5} × 6 × 2)}{100} + \frac{(x × \frac{11}{40} × 10 × 2)}{100} = 1674$
⇒ $\frac{5x}{400} + \frac{36x}{500} + \frac{11x}{200} = 1674$
⇒ $\frac{25x + 144x + 110x}{2000} = 1674$
⇒ $\frac{279x}{2000} = 1674$
$\therefore x = 12000$
Hence, the correct answer is INR 12000.

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