Question

A sum of 10000 is lent partly at 8% and the remaining at 10%per annum. if the yearly interest on the average is 9.2%,the two parts are?

Answer 1

4000 and 6000...................

Answer 2

Hey mate!

Here's your answer!!

Let the sum lent at 8% is x, then sum lent at 10% is (10000 - x)

$x \times \frac{8}{100} \times 1 + (10000 - x) \times \frac{10}{100} \times 1$
$= 10000 \times \frac{92}{100} \times 1$
$= \frac{8x}{100} + \frac{10(10000 - x}{100} = 920$
8x + 100000 - 10x = 92000
➡ -2x + 100000 = 92000
➡ -2x = 92000 - 100000
➡ -2x = -8000
➡ x = 4000

Amount lent at 8% = ₹4000
Amount lent at 10% = (10000 - 4000) = ₹6000

$hope \: it \: helps \: you.$
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