Question

Divide ₹ 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. Find the two parts.

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

Answer 1

The correct option is A

₹ 8100 and ₹ 7500

Let one part be ₹ x
$\therefore$ Second part = ₹ (15600-x)

We know that, Simple interest $=\frac{P\times R\times T}{100}$

where, P = Principal, T = Time, R = Rate of interest per annum

By the given condition, we must have
$\frac{x\times 5\times 5}{100}=\frac{(15600-x)\times \frac{9}{2}\times 6}{100}$
$\Rightarrow 25x=27\times 15600-27x$
$\Rightarrow 25x+27x=27\times 15600$
$\Rightarrow 52x=27\times 15600$
$\Rightarrow x=\frac{27\times 15600}{52}=27\times 300=8100$
Hence one part = 8100 and second part ₹ (15600-8100) = ₹ 7500