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If $5$ % more is gained by selling an article for Rs. $350$ than by selling it for Rs. $340$ , what will be the cost of the article.

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Rs.

50

Rs.

160

Rs.

200

Rs.

225

answer is C.

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Detailed Solution

It is given that

5 %

more is gained by selling an article for Rs. 350 than by selling it for Rs. 340.
Let the C.P. is

= Rs . x .

When S.P. is Rs.340,
then gain %

= \frac{340 - x}{x} \times 100

.
When S.P. is Rs.350,
then gain %

= \frac{350 - x}{x} \times 100

.
According to the question,

\Rightarrow Additional gain % = \frac{350 - x}{x} \times 100 - \frac{340 - x}{x} \times 100

\Rightarrow \frac{100}{x} [350 - x - 340 + x] = 5

\Rightarrow \frac{100}{x} [10] = 5

\Rightarrow x = \frac{1000}{5}

\Rightarrow x

= 200

Hence C.P. of article is Rs.200.
Hence, the correct option is 3.

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