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A sum of Rs.5000 is lent at two parts in simple interest in such a way that the first part is at 4% and the second at 5% per annum. If total interest received after two years is 440. Find the sum lent at 4% 
1. 3000
2. 3123
3. 3323
4. 3200

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Correct Answer - Option 1 : 3000

Given

A sum of Rs.5000 is lent at two parts in such a way that first part at 4% and second at 5% per annum. If total interest received after two years is 440. 

Concept used

Si = P × R × T / 100

Calculation

Let the sum of P be lent at the rate of 4% and (5000 - P) at 5%

As per the question

⇒ \(\frac{{p \times 4 \times 2}}{{100}} + \frac{{\left( {5000 - p} \right) \times 5 \times 2}}{{100}} = 440\)

⇒ \(\frac{{8p}}{{100}} + \frac{{\left( {5000 - p} \right)10}}{{100}} = 44000\)

⇒ 8p + 50000 - 10p = 44000

⇒ 2p = 6000

⇒ p = 3000

⇒ (5000 - p) = 5000 - 3000 = 2000

The two ratios are 3000 : 2000

The sum lent at 4% = Rs.3000

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