A person lent 5,000 partly at the rate of 4 percent and

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A person lent 5,000 partly at the rate of 4 percent and partly at the rate of 5 percent per annum simple interest. The total interest after 2 years is 440. To find the sum of money lentat each of the above rates, 5,000 is to be divided in the ratio :

1. 4 : 5
2. 3 : 2
3. 5 : 4
4. 2 : 3

Correct Option: D

Let the sum of p be lent at the rate of 4% and (5000 – p) at the rate of 5%
we know that ,

SI =	P × R × T
	100

From question , we have

p × 4 × 2	+	(5000 - p) × 5 × 2	= 440
100		100

⇒ 8p + 50000 – 10p = 44000
⇒ 2p = 50000 – 44000 = 6000
⇒ p = ₹ 3000
∴ (5000 – p) = (5000 – 3000) = 2000
Now, Required ratio = First part : second part = 3000 : 2000 = 3 : 2