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A person who pays income tax at the rate of 4 paise per rupee, find that fall of interest rate (income tax) from 4% to 3.75% diminishes his net yearly income by Rs. 48. What is his capital ?

a) Rs. 24000
b) Rs. 25000
c) Rs. 20000
d) Rs. 18000

Answer: c
Explanation: Capital after paying income tax
$$\eqalign{ & {\text{4}}\% – {\text{3}}{\text{.75}}\% = {\text{48}} \cr & {\text{0}}{\text{.25}}\% {\text{ = 48}} \cr & {\text{100}}\% {\text{ = }}\frac{{48}}{{0.25}} \times 100 \cr & \,\,\,\,\,\,\,\,\,\,\,\,\,\,\, = 19200 \cr} $$
Capital without paying income tax
19200 = Capital × 96%
Net capital = 20000

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