Question

Divide Rs. 15,600 into two parts such that the interest on one at 5 percent for 5 years may be equal to that on the other at `4 1/2` percent for 6 years.

Answer 1

Let one part = Rs. x

∴ Second part = Rs. (15,600 − x)

By the given condition

`=("x"xx5xx5)/100=((15,600-"x")xx9/2xx6)/100`

⇒ 25x = 27 × 15,600 − 27x

⇒ 25x + 27x = 27 × 15,600

⇒ 52x = 27 × 15,600

⇒ x =`(27xx15,600)/52`

= 27 × 300

= 8100

Hence one part = Rs.8100 and second part Rs. (15,600 − 8,100) = Rs.7,500