Let Rekha deposit ₹\(x\) in the bank and the remaining ₹\((100000 - x)\) in the post office. **For the bank deposit:** Principal \((p) = x\) Time \((t) = 1\) year Rate of interest \((r) = 5\%\) So, interest from the bank \((I) = \frac{ptr}{100}\) \(= \frac{x \times 1 \times 5}{100} = \frac{5x}{100}\) **For the post office deposit:** Principal \((p) = 100000 - x\) Time \((t) = 1\) year Rate of interest \((r) = 6\%\) So, interest from the post office \((I) = \frac{ptr}{100}\) \(= \frac{(100000 - x) \times 1 \times 6}{100} = \frac{6(100000 - x)}{100}\) **According to the condition:** \(\frac{5x}{100} + \frac{6(100000 - x)}{100} = 5400\) ⇒ \(\frac{5x + 600000 - 6x}{100} = 5400\) ⇒ \(600000 - x = 540000\) ⇒ \(x = 600000 - 540000 = 60000\) ∴ Rekha deposited ₹60,000 in the bank and ₹40,000 in the post office.