Question

# A cycle merchant allows 20% discount on the marked price of the cycles and still makes a profit of 20%. If he gains Rs. 360 over the scale of one cycle and still makes a profit of 20%. If he gains Rs. 360 over the sale of one cycle, find the marked price of the cycle.

Solution

## Rate of discount =20% Profit =20% Total gain = Rs. 360 ∴ Cost price =Rs.360×10020=Rs.1800 ∴ Selling price = C.P + Profit = Rs. 1800 + Rs. 360 = Rs. 2160 and M.P =S.P×100100−discount% =2160×100100−20=Rs.2160×10080=Rs.2700MathematicsRD SharmaStandard VIII

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