A merchant allows $25 %$ discount on the marked price of the cycles and still makes a profit of $20 %$ if the gains $R s 360$ over the sale of one cycle, find the marked price of the cycle.

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Solution

Let marked price be x
selling price = marked price - discount
$= x \frac{- 25}{100} x$
$= \frac{75}{100} x = \frac{3}{4} x$
Gain % = $\frac{G a i n}{C P} \times 100$
$C P = \frac{360}{20} \times 100 = 1800$ Rs
So, Gain = SP - CP
$360 = \frac{3}{4} x - 1800$
$\Rightarrow 2160 = \frac{3}{4}$ Rs
S $x = \frac{2160 \times 4}{3} = 2880$ Rs

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A merchant allows 25% discount on the marked price of the cycles and still makes a profit of 20% if the gains Rs 360 over the sale of one cycle, find the marked price of the cycle.

Let marked price be xselling price = marked price - discount=x−25100x=75100x=34xGain % = GainCP×100CP=36020×100=1800 RsSo, Gain = SP - CP360=34x−1800⇒2160=34 RsS x=2160×43=2880 Rs

A merchant allows $25 %$ discount on the marked price of the cycles and still makes a profit of $20 %$ if the gains $R s 360$ over the sale of one cycle, find the marked price of the cycle.