Question

Mahavir lent a certain sum at $5\frac{3}{4}\%$ p. a. After 5 years the interest was Rs. 570 less than the sum, the sum was _____________.

• A. Rs. 900
• B. Rs. 1700
• C. Rs. 2500
• D. Rs. 800

Answer 1

Answer: (D)

Rs. 800

Let the required sum = Rs.$P$

We know that $SI=\frac{PRT}{100}$

$\therefore \frac{P\times 23\times 5}{4\times 100}=P-570$

$⟹115P=400P-570\times 400$

$⟹285P=570\times 400$

$\therefore P=Rs.800$