Question

by selling a book for 150 Rupees a person gain 20% at what price should he sell it so as to gain 25%

Answer 1

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Here is the solution:

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Selling Price = Rs 150 (Given)

Profit = 20% (Given)

Find the Selling Price Percentage:

Selling Price = Cost Price + Profit

Selling Price = 100 + 20

Selling Price = 120%

Find the cost price of the book:

Selling Price Percentage = 120%

Selling Price = Rs 150

120% = Rs 150

1% = 150 ÷ 120 = Rs 1.125

100% = 12.50 x 100

100% = Rs 125

∴ Cost Price = Rs 125

Find the selling price if he wants to gain 25%:

25% discount = 0.25 x 125 = Rs 31.25

New Selling Price = 125 - 31.25

New Selling Price  = Rs 156.25

Answer: The selling price is Rs 156.25

Answer 2

Given, Selling price = 150, gain = 20%.

We know that Cost price = (100/(100 + Gain%)) * SP

                                         = (100/(120)) * 150

                                        = 125.

So, cost price = 125.

Given Gain = 25%.

We know that Selling price = [(100 + Gain%)/100] * CP

                                             = [(100 + 25)/100] * 125

                                             = [(125/100)] * 125

                                             = 156.25.

Hope this helps!