Question

Divide Rs 2379 into 3 parts, so that their amounts after 2, 3 and 4 years respectively may be equal the rate of interest being 5% per annum at simple interest. The first part is 

(a) Rs 759 

(b) Rs 792 

(c) Rs 818 

(d) Rs 828

Answer 1

(d) Rs 828.

Let the three parts be x, y and z. Then

\(x\,+\,\frac{x\times2\times5}{100}\) = \(y\,+\,\frac{y\times3\times5}{100}\) = \(z\,+\,\frac{z\times4\times5}{100}\)

⇒ First part = Rs \(\frac{10\times3\times1518}{11\times5}\) = Rs 828.