If the price of an eraser is reduced by 25%, a person can buy three more erasers for ₹ 2. How many erasers can be bought for ₹ 2 as the original price?
Let the original price of 1 eraser = $$a$$
Number of erasers that can be bought for ₹2 = $$\frac{2}{a}$$
Price of 1 eraser when reduced by 25% = $$\frac{75}{100}a$$ = $$\frac{3}{4}a$$
Number of erasers that can be bought for ₹2 after reduction in price = $$\frac{2}{\frac{3}{4}a}$$ = $$\frac{8}{3a}$$
According to the problem,
$$\frac{2}{a}+3=\frac{8}{3a}$$
$$\Rightarrow$$ $$\frac{8}{3a}-\frac{2}{a}=3$$
$$\Rightarrow$$ $$\frac{2}{3a}=3$$
$$\Rightarrow$$ $$a=\frac{2}{9}$$
$$\therefore\ $$Number of erasers that be bought for ₹2 with original price = $$\frac{2}{a}$$ = $$\frac{2}{\frac{2}{9}}$$ = 9
Hence, the correct answer is Option C
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