A part of ₹ 1500 was lent at 10% per annum and the

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A part of ₹ 1500 was lent at 10% per annum and the rest at 7% per annum simple interest. The total interest earned in three years was ₹ 396. The sum lent at 10% was

1. ₹ 900
2. ₹ 800
3. ₹ 700
4. ₹ 600

Correct Option: A

Let p be lent at 10% per annum.
∴ (1500 – p ) is lent at 7% per annum.

Now,

	p × 10 × 3	+	(1500 - p) × 7 × 3	= 396
	100		100

⇒ 30p + 31500 – 21p = 39600
⇒ 9p = 39600 – 31500
⇒ p = 8100 ÷ 9 = ₹ 900