Question 54

A profit of 8% is made by selling a shirt after offering a discount of 12%. If the marked price of the shirt is Rs.1,080/-, find its cost price.

Solution

Let cost price = Rs. $$100x$$

=> Selling price = $$100x + \frac{8}{100} \times 100x$$

= $$108x$$

Now, after offering 12% discount, Marked price = $$\frac{88}{100} \times 1080 = 108x$$

=> $$\frac{88}{10} = \frac{108x}{108}$$

=> $$x = \frac{88}{10} = 8.8$$

$$\therefore$$ C.P. = 100 * 8.8 = Rs. 880

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