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A man spends 75% of his income. His income is increased by 20% and he thus also increased his expenditure by 10%. His savings increased by:
Question

A man spends 75% of his income. His income is increased by 20% and he thus also increased his expenditure by 10%. His savings increased by:

A.

25%

B.

34 12\frac{1}{2}%​

C.

50%

D.

10%

Correct option is C

Given:

The man spends 75% of his income initially.
His income is increased by 20%, and his expenditure is increased by 10%..

Let income of a man be 100 Rs. 

Solution:

Expenditure = 75 Rs.

Saving = 25 Rs.

New income = 100×120100=120100 × \frac{120}{100 }= 120​ Rs.

New expenditure = 75×11010075 × \frac{110}{100 }​= 82.5 Rs.

New saving = 120 - 82.5 = 37.5 Rs.

Percent increase in saving = [(37.525)25]×100[\frac{(37.5 - 25)}{25}] × 100​​

=> 12.5 × 4 = 50%

∴ The percentage increase in his savings is 50%.

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