Question

Divide rupees 15600 into two parts such that the interest on one at 5% for 5 years may be equal to that on the other at 4½ percent for 6 years

Answer 1

Answer:

Let one part = Rs. x

∴ Second part = Rs. (15,600 –x)

By the given condition

= (x × 5 × 5)/100 = ((15,600 – x) × (9/2) × 6)/100

⇒ 25x = 27 × 15,600 – 27x

⇒ 25x +27x = 27 × 15,600

⇒ 52x = 27 × 15,600

⇒ x = (27 × 15,600)/52 = 27 × 300 = 8100

Hence one part = Rs. 8100 and second part

Rs. (15,600 – 8,100) = Rs. 7500

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