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A person sells an article at 10% below its cost price. Had he sold it for Rs332 more, he would have made a profit of 20%. What is
the original selling price (in Rs) of the article?
996
1328
1028
896
- Let's denote the cost price of the article as x.
- The article is sold at 10% below its cost price, so the selling price is 0.9x.
- If sold for Rs332 more, the selling price becomes 0.9x+332.
- To achieve a 20% profit, the selling price should be 1.2x.
- So, we have the equation: 0.9x+332=1.2x.
- Solving for x, we get:
$$
0.9x + 332 = 1.2x \implies 332 = 1.2x - 0.9x \implies 332 = 0.3x \implies x = \frac{332}{0.3} = 1106.67
- The original selling price 0.9x is:
0.9 \times 1106.67 = 996
- So, the original selling price is Rs. 996.
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