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.
Answers
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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