Question 56

A man sold his furniture at a 25% gain. Had he sold it at 15% loss. he would have received $$₹ 800$$ less. Find cost price of the furniture.

Solution

Let the Cost Price of the furniture = C.P

Selling Price of the furniture at 25% gain = $$\frac{125}{100}C.P$$

Selling Price of the furniture at 15% loss = $$\frac{85}{100}C.P$$

According to the Problem,

$$\frac{125}{100}C.P-\frac{85}{100}C.P=800$$

$$=$$> $$\frac{40}{100}C.P=800$$

$$=$$> $$C.P=2000$$

$$\therefore\ $$Cost Price of the furniture = $$₹ 2,000$$

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