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A shopkeeper sells a fridge for Rs. 16,560 at 10% discount on its marked price and earns 15% profit. If no discount is offered, then what will be the percent profit?
- A23.2%
- B27.77%
- C29.17%
- DData insufficient
Answer not set
Discussion 1
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CCommunity
Let marked price of the fridge be Rs. ‘x’, then,
Selling price after 10% discount = x × 90/100 = Rs. 0.9x
According to the question,
0.9x = Rs. 16,560
⇒ x = 16,560/0.9 = Rs. 18,400
Profit earned is 15%, when selling price is Rs. 16,560,
We know that, formula:
Profit percentage = (Profit/CP) × 100%
∴ Cost price = 16560 × (100/115) = Rs. 14400
When no discount is offered, the selling price which is Rs. 18400,
Profit gained = Rs. (18,400 – 14,400) = Rs. 4000
∴ Percent profit = (4000/14,400) × 100% = (250/9)% = 27.77%
Hence, the required percent profit is 27.77%.
Selling price after 10% discount = x × 90/100 = Rs. 0.9x
According to the question,
0.9x = Rs. 16,560
⇒ x = 16,560/0.9 = Rs. 18,400
Profit earned is 15%, when selling price is Rs. 16,560,
We know that, formula:
Profit percentage = (Profit/CP) × 100%
∴ Cost price = 16560 × (100/115) = Rs. 14400
When no discount is offered, the selling price which is Rs. 18400,
Profit gained = Rs. (18,400 – 14,400) = Rs. 4000
∴ Percent profit = (4000/14,400) × 100% = (250/9)% = 27.77%
Hence, the required percent profit is 27.77%.