Question

a cycle merchant allows 25% discount on the Marked price of cycle and still makes a profit of 20% if he earns a profit of 360 rupees on the sale of one cycle find the Marked price of the cycle

Answer 1

Profit = 20%

Profit = Rs 360

Find the cost price:

20% = Rs 360

1% =360 ÷ 20 = Rs 18

100% = 18 x 100 = Rs 1800

Find the selling price after discount:

Selling Price = Cost Price + Profit

Selling Price = 1800 + 360 = Rs 2160

Find the marked price:

Selling Price = Marked Price - Discount

Selling Price = 100 - 25 = 75%

75% = Rs 2160

1% = 2160 ÷ 75 = Rs 28.80

100% = 28.80 x 100 = Rs 2880

Answer: The marked price is Rs 2880

Answer 2

hey!

here is answer

profit=20%

profit=₹360

cost price (cp)=20%=₹360

1%=360/20

1%=₹18

100%=18*100=₹1800

selling price. after discount

sp= cp+ profit

= 1800+360

= 2160

sp= marked price - discount

100-25=75%

75%=2160.
1%=2160/75

=₹28.80

100%=28.80*100

=2880

hence marked price is ₹2880

hope it helps

thanks