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An article is sold at a loss of 10%. Had it been sold for Rs. 9 more, there would have been a gain of % on it. The cost price of the article is :
  • a)
    40
  • b)
    45
  • c)
    50
  • d)
    35
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
An article is sold at a loss of 10%. Had it been sold for Rs. 9 more,...
Let the cost price of the article = Rs. x
S.P. at 10% loss = Rs. 0.9x
According to question if it is sold by Rs 9 more there will be gain of 25 / 2 %
0.9x + 9 =
0.9x + 9 =
⇒ 180x + 1800 = 225x
⇒ 225x - 180x = 1800
⇒ 45x = 1800
⇒ x = Rs. 40
Alternate Solution,
Let the CP of the article = 100
x X 22.5 = 9
x = 9 / 22.5
= 18 / 25
Required,
⇒ CP X x
⇒ 100 x 18 / 45
⇒ 40
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Most Upvoted Answer
An article is sold at a loss of 10%. Had it been sold for Rs. 9 more,...
Let the cost price of the article = Rs. x
S.P. at 10% loss = Rs. 0.9x
According to question if it is sold by Rs 9 more there will be gain of 25 / 2 %
0.9x + 9 =
0.9x + 9 =
⇒ 180x + 1800 = 225x
⇒ 225x - 180x = 1800
⇒ 45x = 1800
⇒ x = Rs. 40
Alternate Solution,
Let the CP of the article = 100
x X 22.5 = 9
x = 9 / 22.5
= 18 / 25
Required,
⇒ CP X x
⇒ 100 x 18 / 45
⇒ 40
Free Test
Community Answer
An article is sold at a loss of 10%. Had it been sold for Rs. 9 more,...
Let the cost price of the article = Rs. x
S.P. at 10% loss = Rs. 0.9x
According to question if it is sold by Rs 9 more there will be gain of 25 / 2 %
0.9x + 9 =
0.9x + 9 =
⇒ 180x + 1800 = 225x
⇒ 225x - 180x = 1800
⇒ 45x = 1800
⇒ x = Rs. 40
Alternate Solution,
Let the CP of the article = 100
x X 22.5 = 9
x = 9 / 22.5
= 18 / 25
Required,
⇒ CP X x
⇒ 100 x 18 / 45
⇒ 40
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An article is sold at a loss of 10%. Had it been sold for Rs. 9 more, there would have been a gain of % on it. The cost price of the article is :a)40b)45c)50d)35Correct answer is option 'A'. Can you explain this answer?
Question Description
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