Due to fall in the rate of interest from 12% to 10.5% p.a money lender's yearly income diminished 90 the capital
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The Money lender's capital is 6000Rs.
Due to fall in the rate of interest from 12 % to 10.5 % Per annum Money lender's yearly income diminished 90.
We have to find the capital of money lender.
Let Money lender's capital is X.
Initial rate of interest is 12 % per annum.
So, he gets interest per annum = 12 % of X
Now rate of interest becomes 10.5 % per annum.
∴ he will get interest per annum = 10.5 % of X.
∴ The reduction of interest of Money lender = 12 % of X - 10.5 % of X = 90 Rs.
⇒(12 - 10.5) % of X = 90
⇒1.5X/100 = 90
⇒X = 6000
Therefore the Money lender's capital is 6000 Rs.
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