Question : S sells an item costing Rs. 37800 to P with 8% profit. P sells it to Q with a 4% loss. At what price (in Rs.) does P sell the item? (Correct to the nearest rupee)
Option 1: 39919
Option 2: 39119
Option 3: 39191
Option 4: 39911
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Correct Answer: 39191
Solution :
S sells an item costing Rs. 37800 to P with 8% profit.
Buying price for P $=\frac{100+8}{100}×37800=\frac{108}{100}×37800=40824$
Now, P sells the item to Q with a 4% loss.
$\therefore$ Selling price for P $=\frac{100-4}{100}×40824=\frac{96}{100}×40824=39191.04\approx39191$
Hence, the correct answer is 39191.
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