Question

A merchant allows 25% discount on marked price of the 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.

Answer 1

the answer is 2880

hope it helps

Answer 2

Answer:

The marked price of the cycle is 2800 Rupees.

Step-by-step explanation:

Let the marked price be $x$

Given Discount = 25% = $\frac{25}{100} \times x$

The selling price is given by

selling price = marked price - discount

                      =  $x-\frac{25}{100} \times x$

                      = $(\frac{100-25}{100})\times x$

                      = $\frac{75}{100} \times x$

 selling price  = $\frac{3}{4}\times x$.

Gain= 360 Rupees(given)

Finding cost price :

By using the Formula Gain % = $\frac{Gain}{Cost price}\times 100$

                                    cost price(CP) = $\frac{360}{20}\times 100= 1800$ Rupees.

Gain = Selling Price(SP) - Cost price(CP)

$360=\frac{3}{4}\times x -1800$,

$2160=\frac{3}{4}\times x$,

$\imples x=\frac{2160\times 4}{3}=2800$ Rupees.

Hence, the marked price of the cycle is 2800 Rupees.