Question

A cycle merchant allows 25% discount on the Marked price of the cycle and still makes a profit of 20%.If he gain Rs 360 over the sales of one cycle,find the Marked price of the cycle

Answer 1

The marked price of the cycle is Rs. 2880

Explanation

Suppose, the cost price of the cycle is $x$

As the profit is 20% of the cost price, so the amount of profit $= x*0.20= 0.20x$ and this amount of profit is given as Rs. 360

That means.....

$0.20x=360\\ \\ x= \frac{360}{0.20} =1800$

So, the cost price of the cycle is Rs. 1800

Now, the sales price = cost price + profit

                                  = Rs. 1800 + Rs. 360 = Rs. 2160

Lets assume, the marked price of the cycle is $y$

The merchant allows 25% discount on the marked price. So, the amount of discount $=0.25y$

Now as Sales price = Marked price - Amount of discount , so the equation will be......

$y-0.25y= 2160\\ \\ 0.75y=2160\\ \\ y= \frac{2160}{0.75}=2880$

So, the marked price of the cycle is Rs. 2880

Answer 2

Answer:

mp =2800

Step-by-step explanation: