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Question

Divide rupees 3600 into two parts such that if one part be lent at 9% per annum and the other at 10% per annum, the total annual income is rupees 333.

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Solution

Given,
The total income = Rs.333
Let the money lent at the rate of 9% p.a be 'x'

And at rate 10% p.a be (3600-x)

So,
⇒x(9)(1)/100 + (3600-x)(10)(1)/100
​​​​​​=333

⇒9x + 36000 - 33300 - 10x = 0

⇒x=2700

∴ The money lent at 9% is Rs.2700 and 10% is Rs.900


Hope it helps
All the best.

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