A person saves every year $20$ $%$ of his income. If his income increases every year by $10$ $%$ , then his savings increase every year by

10

%

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5

%

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Solution

The correct option is A $10$ $%$
Let the income of the person be Rs. $x$
Then his savings $= 20 %$ of $x = \frac{20}{100} \times x = 0.2 x$
Income next year $= x + 10 %$ of $x = \frac{110}{100} x = 1.1 x$
$∴$ Savings next year $= 0.2 \times 1.1 x = 0.22 x$
Percent increase in savings $=$ $\frac{0.02 x}{0.2 x} \times 100$
$= \frac{2}{20} \times 100 = 10$ $%$

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A person saves every year 20 % of his income. If his income increases every year by 10 %, then his savings increase every year by

The correct option is A 10 %Let the income of the person be Rs. xThen his savings =20% of x=20100×x=0.2xIncome next year =x+10% of x=110100x=1.1x∴ Savings next year =0.2×1.1x=0.22xPercent increase in savings = 0.02x0.2x×100=220×100=10 %

A person saves every year $20$ $%$ of his income. If his income increases every year by $10$ $%$ , then his savings increase every year by