Due to increase of 33.33% in the price of apples, a customer can purchase 4 apples less for Rs 16. What is the original price (in paise) of an apple?

Let the original price of an apple = $$3x$$ paise

1 Rs. = 100 paise

16 Rs. = 1600 paise

=> Number of apples he can purchase with this price = $$\frac{1600}{3x}$$

New price of apple after 33.33% increase = $$3x+\frac{1}{3}\times3x=4x$$ paise

=> Number of applies he can purchase with the increased price = $$\frac{1600}{4x}$$

Due to the increase in the price, 4 less apples can be purchased.

=> $$\frac{1600}{3x}-\frac{1600}{4x}=4$$

=> $$\frac{1600}{x}(\frac{1}{3}-\frac{1}{4})=4$$

=> $$400(\frac{4-3}{12})=x$$

=> $$x=\frac{400}{12}=\frac{100}{3}$$

$$\therefore$$ Original price (in paise) of an apple = $$3\times\frac{100}{3}=100$$ paise

=> Ans - (A)