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?
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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