Question : Vikram allows two successive discounts of 20% and 10% on the marked price of a book, which is equal to a single discount of Rs. 252. Then how much profit will Vikram get, on that book, if the cost price is Rs. 600?
Option 1: Rs. 72
Option 2: Rs. 56
Option 3: Rs. 48
Option 4: Rs. 54
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Correct Answer: Rs. 48
Solution :
Given: Successive discounts of 20% and 10% = Rs. 252
Single equivalent discount = $(a+b-\frac{a×b}{100}$)%, where $a$% and $b$% are successive discounts.
⇒ Single discount equivalent to 20% and 10% = $20+10-\frac{20×10}{100}$ = 28%
So, 28% of the marked price = Rs. 252
⇒ Marked price = $\frac{252}{0.28}$ = Rs. 900
Now, Selling price = Marked price – Discount = 900 – 252 = Rs. 648
Now, the Cost price = Rs. 600
Profit = Selling price – Cost price = 648 – 600 = Rs. 48
Hence, the correct answer is Rs. 48.
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