A man bought an article and sold it at a gain of 5 %. If he had bought it at 5% less and sold it for Re 1 less he would have made a profit of 10%. The C.P. of the article was,,,
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Answers
Answer:
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Explanation:
Man bought an article and sold it at a gain of 5%.
Let original cost price is Rs. x
Its selling price =
100
105
×x=
20
21x
New cost price =
100
95
×x=
20
19x
New selling price =
100
110
×
20
19x
=
200
209
⇒
20
21x
−
200
209x
=1
⇒x=200
Thus, C.P. of the article is Rs.200.
Answer:
The C.P. of the article was Rs. 200
Explanation:
Given :
Article sold at a gain of 5 %
He had bought it at 5 % less
He would have made a profit of 10 %
To find :
The C.P. of the article
Solution :
Let,
The Cost Price = x
Selling price = x + (5x /100)
⇒ 105x / 100
⇒ 21x / 20
New cost price = x - (5x / 100)
⇒ 95x / 100
⇒ 19x / 20
New selling price =
⇒ (110/ 100) × (19x / 20) =
⇒ 209x / 200
⇒ (21x / 20) - (209x / 200) = 1
⇒ (210x / 200) - (209x / 200)
⇒ x / 200
⇒ x = 200
Therefore,
The C.P. of the article was Rs.200