Question : Shailja allows a discount of 10% to her customers and still gains 20% on the sale of a cosmetic product. What is the marked price (in Rs.) of the cosmetic product having a cost price of Rs. 450?
Option 1: 580
Option 2: 560
Option 3: 600
Option 4: 540
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Correct Answer: 600
Solution :
Here SP denotes the selling price, CP denotes the cost price, and MP denotes the marked price.
Let MP be Rs. 100.
Discount = 10% of MP = $\frac{10}{100} \times 100$ = Rs. 10
SP = MP − Discount = 100 − 10 = Rs. 90
Cost price = Rs. 450
Gain = 20% of CP = $\frac{20}{100} \times 450$ = Rs. 90
SP = CP + Gain = 450 + 90 = Rs. 540
If SP is 90, then MP is 100.
When SP is 540, MP = $\frac{540\times100}{90}$ = Rs. 600
Hence, the correct answer is 600.
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