A sum of Rs.63500 invested under simple interest at rate of 10% p.a. If the amount after 16 years is been withdrawn and 3/4 of the total amount is been invested in share market. Find the remaining amount. (In Rs.)

Given:

Principal (P) = ₹63,500

Rate of Simple Interest (R) = 10% p.a.

Time (T) = 16 years

Fraction of total amount invested in share market = \(\dfrac{3}{4}\)

Formula used:

Simple Interest (SI) = \(\dfrac{P \times R \times T}{100}\)

Amount (A) = Principal (P) + Simple Interest (SI)

Remaining Amount = Total Amount - Amount invested in share market

Calculations:

SI = \(\dfrac{63500 \times 10 \times 16}{100}\)

SI = 635 × 10 × 16 = 6350 × 16 = ₹101,600

A = P + SI

⇒ A = 63500 + 101600 = ₹165,100

Amount invested = \(\dfrac{3}{4}\) × Total Amount

⇒ Amount invested = \(\dfrac{3}{4} \times 165100\)

⇒ Amount invested = 3 × 41275

⇒ Amount invested = ₹123,825

Remaining Amount = Total Amount - Amount invested in share market

⇒ Remaining Amount = 165100 - 123825 = ₹41,275

∴ The remaining amount is ₹41,275.