Question : In a showroom. the marked prices of various items are displayed in such a manner that after giving a 10% discount to the customers, the owner of the showroom earns a profit of 20%. What is the ratio of the marked price and cost price of each item?
Option 1: 3 : 4
Option 2: 4 : 3
Option 3: 5 : 2
Option 4: 2 : 5
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Correct Answer: 4 : 3
Solution :
Let the cost price be Rs. 100.
Final selling price after 20% profit = Rs. 120 (Discounted price)
With a 10% discount, the selling price is 90% of the marked price.
So, Marked price = $120\times \frac{100}{90}=\frac{400}{3}$
The ratio of marked price to cost price
= $\frac{\frac{400}{3}}{100}$
= $4 : 3$
Hence, the correct answer is 4 : 3.
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