109 .A sum of Rs. 2,000 was lent partly at 6% and partly at 7%. The total simple interest received after 4 years was 532.The sum lent at 6% was

The correct answer is (a) Rs. 1,000.

Let $x$ be the amount lent at 6% and $2000-x$ be the amount lent at 7%. The total simple interest after 4 years is then

$$532 = \frac{x \cdot 6 \cdot 4}{100} + \frac{(2000-x) \cdot 7 \cdot 4}{100}$$

Solving for $x$, we get

$$x = \frac{532 \cdot 100}{6 \cdot 4 – 7 \cdot 4} = 1000$$

Therefore, the sum lent at 6% is Rs. 1,000.

Option (b) is incorrect because $900 < 1000$. Option (c) is incorrect because $800 < 1000$. Option (d) is incorrect because $700 < 1000$.