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By selling an article for Rs1,500, double the profit is obtained than the profit that would have been obtained by selling it for
Rs1,350. Find the cost price of the article.
Rs1,100
Rs1,200
Rs1,400
Rs1,000
To find the cost price, let's analyze:
- Let CP be the cost price.
- Selling for Rs1,500 gives a profit of Rs1,500 - CP.
- Selling for Rs1,350 gives a profit of Rs1,350 - CP.
- According to the problem, the profit from Rs1,500 sale is twice the profit from Rs1,350 sale.
Set up the equation:
$$
1,500 - CP = 2 \times (1,350 - CP)
Solve:
- Expand: 1,500−CP=2,700−2×CP
- Rearrange: 2CP−CP=2,700−1,500
- Simplify: CP=1,200
- So, the cost price is Rs1,200.
.
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