By deducing the selling price of an
article by 50 dollars, a gain of 5%
original selling price of the article.
turns into a loss of 5%. Find the
ling
[Dec 2014)
Answers
Answered by
2
Answer:
Let Rs x be the cost price and Rsy be the the selling price of the
article.
we know that
Gain%=(
C.P
Gain×100
)
∴5%=(y−x)×
x
100
⇒x=20(y−x)
⇒x=20y−20x
⇒x+20x=20y
⇒21x=20y
⇒y=
20
21x
When the selling price of the article is reduce by Rs50 then the
new selling price of article =Rs(
20
21x
−50)
we know that
Loss%=(
C.P
loss×100
)
5=[
x
x−{
20
21x
−50}
]×100
⇒x={
20
x−21x
+50}×20
⇒x=[
20
{20x−21x+1000}
]×20
⇒x=−x+1000
⇒x+x=1000
⇒2x=1000
So, the cost price of article is Rs500
The original selling price y=
20
21x
=
20
21×500
y=525
The original selling price is Rs 525
Step-by-step explanation:
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