An article is sold at a loss of 10%. Had it been sold for Rs 9 more, t

1.	An article is sold at a loss of 10%. Had it been sold for Rs 9 more, there would have been a gain of \(12\frac{1}{2}\) % on it. The cost price of the article is (a) Rs 40 (b) Rs 45 (c) Rs 50 (d) Rs 35
Answer» (a) Rs 40 Let the C.P. of the article be Rs x. Then, S.P. at a loss of 10% =\(\frac{X\times 90}{100}\) = Rs \(\frac{90X}{100}\) S.P. at a gain of 12\(\frac{1}{2}\)% = \(\frac{X\times112.5}{100}\) = Rs \(\frac{112.5X}{100}\) Given,\(\frac{112.5X}{100}\) - \(\frac{90X}{100}\) = 9 \(\Rightarrow\) \(\frac{22.5X}{100}\) = 9 \(\Rightarrow\)x = \(\frac{900}{22.5}\) = Rs 40.

An article is sold at a loss of 10%. Had it been sold for Rs 9 more, there would have been a gain of \(12\frac{1}{2}\) % on it. The cost price of the article is (a) Rs 40 (b) Rs 45 (c) Rs 50 (d) Rs 35

Answer»

(a) Rs 40

Let the C.P. of the article be Rs x. Then,

S.P. at a loss of 10% =\(\frac{X\times 90}{100}\) = Rs \(\frac{90X}{100}\)

S.P. at a gain of 12\(\frac{1}{2}\)% = \(\frac{X\times112.5}{100}\) = Rs \(\frac{112.5X}{100}\)

Given,\(\frac{112.5X}{100}\) - \(\frac{90X}{100}\) = 9

\(\Rightarrow\) \(\frac{22.5X}{100}\) = 9 \(\Rightarrow\)x = \(\frac{900}{22.5}\) = Rs 40.