If a saree is sold for Rs 1900 the seller will face 5% loss, at what price (in Rs) should he sell the saree to gain 15% profit?Options2200250023002400
Question
If a saree is sold for Rs 1900 the seller will face 5% loss, at what price (in Rs) should he sell the saree to gain 15% profit?
Options:
- 2200
- 2500
- 2300
- 2400
Solution
To solve this problem, we first need to find the cost price of the saree.
Given that the seller faces a 5% loss when the saree is sold for Rs 1900, we can set up the following equation:
95/100 * Cost Price = Rs 1900
Solving for Cost Price gives us:
Cost Price = Rs 1900 / (95/100) = Rs 2000
Now, to find the price at which the seller should sell the saree to gain a 15% profit, we use the following equation:
Selling Price = 115/100 * Cost Price
Substituting the value of Cost Price we found earlier:
Selling Price = 115/100 * Rs 2000 = Rs 2300
So, the seller should sell the saree for Rs 2300 to gain a 15% profit.
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