Let Aslamchacha deposit ₹ x at the rate of 5 % for 1 year in the bank and he deposited ₹ (100000 – x) at the rate of 6 % for 1 year in the post office.
1st case (In Bank) :
Simple Interest = \frac{\text { Principal } × \text { rate } × \text { time }}{100}
= ₹ \frac{x × 5 × 1}{100} = ₹ \frac{5 x}{100}
2nd case (In Post office) :
Simple Interest = \frac{\text { Principal } × \text { rate } × \text { time }}{100}
= ₹ \frac{(100000 - x) × 6 × 1}{100}
= ₹ \frac{(100000 - x) × 6}{100}
According to the problem,
\frac{5 x}{100}+\frac{(10000-x) 6}{100}=5400 \\
or, \frac{5 x+600000-6 x}{100}=5400 \\
or, -x + 600000 = 540000
or, 60,0000 – 540000 = x
or, x = 60000
∴ He deposited ₹ 60,000 in bank and ₹ (100000-60000) = ₹ 40,000 in post office