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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