Question : A megastore is offering a 20% discount on all grocery items. Sakshi bought one grocery item marked at Rs. 400. What is its cost price if the store earned a profit of 25% after giving the discount?
Option 1: Rs. 256
Option 2: Rs. 280
Option 3: Rs. 380
Option 4: Rs. 320
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Correct Answer: Rs. 256
Solution : Let the cost price be $x$. Marked price, MP = Rs. 400 Profit % gained = 25% Selling price, SP after 20% discount = MP – $\frac{20}{100}$MP ⇒ SP = 400 – $\frac{20}{100}\times$ 400 ⇒ SP = Rs. 320 Also, Profit percentage = $\frac{\text{Selling price – Cost price}}{\text{Cost price}}×100$ $⇒ 25 = \frac{320-x}{x}\times 100$ $⇒ 125 × x = 32000$ $\therefore x = 256$ Hence, the correct answer is Rs. 256.
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