Question 63

An article was sold at a loss of 12%. If it was sold for ₹ 630 more, then there would have been a gain of 6%. Find the cost price of the article.

Solution

Let the cost price of the article = C

Selling price of the article at 12% loss = $$\frac{88}{100}$$C

Selling price of the article at 6% gain = $$\frac{106}{100}$$C

According to the problem,

$$\frac{88}{100}$$C $$+  630 = \frac{106}{100}$$C

$$\Rightarrow$$  $$\frac{106}{100}$$C $$- \frac{88}{100}$$C $$=630$$

$$\Rightarrow$$  $$\frac{18}{100}$$C $$=630$$

$$\Rightarrow$$  C = 3500

$$\therefore\ $$Cost price of the article = ₹ 3,500

Hence, the correct answer is Option A

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