By selling 125 books a man gains an
amount equal to the SP of 5 books find the
gain percent.
Answers
Answer:
let SP of one book be x
SP of 125 books = 125x
profit = SP of five books = 5x
CP of 125 books = SP - profit
= 125x - 5x
= 120x
profit percent = profit*100/CP
= 5x*100/120x
= 25/6%
1
=. 4 ---- %
6
His profit % is 4.16% by selling 125 books if the gain is equal to S.P. of 5 books.
Step-by-step explanation:
Let the Selling Price of 1 book be Rs. “x”.
Then,
S.P. of 125 books will be Rs. “125x”
S.P. of 5 books will be Rs. “5x”
It is given that the gain by selling 125 books will be equal to S.P. of 5 books, so
S.P. of 5 books = Gain = Rs. 5x
According to the question, we get
Gain = [S.P. of 125 books] – [C.P. of 125 books]
⇒ 5x = 125x - [C.P. of 125 books]
⇒ [C.P. of 125 books] = 125x – 5x
⇒ [C.P. of 125 books] = Rs. 120x
Thus,
The profit percent for the shopkeeper by selling 125 books will be,
= [(Gain)/(C.P.)] * 100
= [5x/120x] * 100
= 0.0416 * 100
= 4.16%
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