Question

Divide Rs. 15600 into two parts such that the simple interest on one at 5 percent for 5 years is equal to interest on remaining at 6% per annum for 4.5 years.

• A. Rs. 8100 and Rs. 7500
• B. Rs. 8600 and Rs. 7000
• C. Rs. 7100 and Rs. 8500
• D. Rs. 8800 and Rs. 6800

Answer 1

The correct option is A

Rs. 8100 and Rs. 7500

Let one part=Rs. x
$\therefore$ Second part=Rs. (15600-x)
By the given condition

Simple interest is given by $=\frac{P\times R\times T}{100}$
$=\frac{x\times 5\times 5}{100}=\frac{(15600-x)\times \frac{9}{2}\times 6}{100}$
$\Rightarrow 25x=27\times 15600-27x$
$\Rightarrow 25x+27x=27\times 15600$
$\Rightarrow 52x=27\times 15600$
$\Rightarrow x=\frac{27\times 15600}{52}=27\times 300=8100$
Hence one part=Rs. 8100 and second part Rs. (15600-8100)=Rs. 7500