Question

the profit when a book is sold for 148 is twice the profit made when a book is sold for 139 what is the percent profit if the book is sold for 182?
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Answer 1

Answer:

orig price a

(148-a) /a = 2((139-a)/a)

Cancelling a in denominator

149-a= 278-2a

a= 278-149 = 129

profit at 182

182-129/129 = 0.41 or 41 %

Answer 2

Answer:

Let CP of book = ₹ x

in first deal, profit = 148 - x

in Second deal, profit = 139 - x

According to statement

148 - x = 2 (139 - x)

148 - x = 278 - 2x

2x - x = 278 - 148

x =130

So CP of book = ₹ 130.

now SP = ₹ 182

Profit = SP - CP = 182 - 130 = 52

Profit % = 100 × Profit/CP

= 100 × 52/130

= 40 %