Question : Arun brought 50 kg of rice at a discount of 15% on the marked price. For purchasing bulk quantity, he was given 5 kg of wheat (the marked price of which was 60% of the marked price of rice) free of cost. Had the retailer sold both items at their marked price to his other customers, then approximately what would be the profit percentage that the shopkeeper could earn?
Option 1: 24.7%
Option 2: 25.2%
Option 3: 22.8%
Option 4: 23.5%
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Correct Answer: 24.7%
Solution :
Let the cost of rice be Rs.$\ x$ per kg.
Price of 50 kg rice = Rs.$\ 50x$
But he bought it at a discount of 15%.
Cost price of rice for Arun $= 50x\times\frac{85}{100} =42.5x$
The price of 5 kg wheat = 60% of the marked price of rice $=5\times\frac{60}{100}x=3x$
The wheat is free for Arun.
Total cost price $= 42.5x$
Selling price of 5 kg wheat $= 3x$
Selling price of rice and wheat $=50x +3x = 53x$
Profit gained by him
= $\frac{\text{Selling Price - Cost Price}}{\text{Cost Price}}\times100$
= $\frac{53x-42.5x}{42.5x}\times100$
= $\frac{10.5x}{42.5x}\times100$
= $24.7\%$
Hence, the correct answer is 24.7%.
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