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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. - Mathematics

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Sum

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.

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Solution

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

Concept: Interest Compounded Half Yearly
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APPEARS IN

Selina Concise Mathematics Class 8 ICSE
Chapter 9 Interest
Exercise 9 (B) | Q 10 | Page 108
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