By selling 90 ball pens for 180, a person loses 20%. How many ball pens should he sell for 96, so as
to have a gain of 20%?
Answers
Answered by
2
Answer:
S.P. of 90 ball pens = Rs.160,
Loss = 20%
∴ C.P. of 90 ball pens = Rs.
(100−20)
160×100
=Rs.
80
160×100
=Rs.200
∴ C.P. of 1 ball pen = Rs.
9
20
Suppose x ball pens are sold to earn a profit of 20 %
Then C.P. of x ball pens = Rs.
9
20
x
S.P. of x ball pens = Rs.96
∴Profit=Rs.(96−
9
20
x)
Given profit % = 20%
∴
9
20x
(96−
9
20
x)
×100=20⇒(96−
9
20x
)×5=
9
20x
⇒96−
9
20x
=
9
4x
⇒
9
24x
=96⇒x=
24
96×9
=36
∴ 36 ball pens should be sold for Rs.96 to earn a profit of 20%
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