Question 13

Hiten marks his pen at Rs 9800 and after allowing discount of 20%, he still earns 12% profit. What is the cost price (in Rs) of the pen?

Solution

Let the cost price = Rs. $$100x$$

=> Selling price = $$100x+\frac{12}{100}\times100x=Rs.$$ $$112x$$ ----------------(i)

Also, Marked price = Rs. 9800 and discount % = 20%

=> Selling price = $$9800-\frac{20}{100}\times9800=9800-1960=Rs.$$ $$7840$$ ------------(ii)

From equations (i) and (ii), we get :

=> $$112x=7840$$

=> $$x=\frac{7840}{112}=70$$

$$\therefore$$ Cost price = $$100\times70=Rs.$$ $$7000$$

=> Ans - (D)


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