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.

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Solution

Rate of discount $= 20 %$
Profit $= 20 %$
Total gain = Rs. 360
$∴$ Cost price $= R s . \frac{360 \times 100}{20} = R s . 1800$
$∴$ Selling price = C.P + Profit
= Rs. 1800 + Rs. 360 = Rs. 2160
and M.P $= \frac{S . P \times 100}{100 - d i s c o u n t %}$
$= \frac{2160 \times 100}{100 - 20} = R s . \frac{2160 \times 100}{80} = R s . 2700$

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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.

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.2700

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.