Question

Mr. vajpayee sold a book at a profit of 20%. had he sold it for rs.15 more,25% would have been gained. find the cost price.​

Answer 1

Given :- Mr. vajpayee sold a book at a profit of 20%. had he sold it for rs.15 more,25% would have been gained. find the cost price. ?

Solution :-

Let us assume that, cost Price of the book is Rs.100x .

than,

→ CP of book = Rs.100x

→ Profit = 20% .

→ SP(1) = CP * (100 + Profit%) / 100 = 100x * (100 + 20)/100 = Rs.120x .

again,

→ CP of book = Rs.100x

→ New Profit = 25% .

→ SP(2) = CP * (100 + Profit%) / 100 = 100x * (100 + 25)/100 = Rs.125x .

now, given that, increased in SP is Rs.15 .

Therefore,

→ 125x - 120x = 15

→ 5x = 15

dividing both sides by 5

→ x = 3.

Hence,

→ CP of book = 100x = 100 * 3 = Rs.300 (Ans.)

∴ CP of book is Rs.300.

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