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The price of kerosene is ~48 per lit.re and the price of spirit is Rs30 per litre. In what ratio should the kerosene and spirit be
mixed so that the profit after selling the mixture at Rs60 per litre will be 50%?
1:1
5:4
2:3
3:4
To find the correct ratio, let's calculate:
- Selling price of the mixture = Rs 60 per litre
- Desired profit = 50%
Steps:
- Calculate the cost price for 50% profit:
- Selling Price = Cost Price + Profit
- Profit = 50% of Cost Price
- Selling Price = 1.5 * Cost Price
- \(\text{Cost Price} = \frac{\text{Selling Price}}{1.5} = \frac{60}{1.5} = 40\)
- Let the ratio of kerosene to spirit be \(x:y\).
- Cost price of mixture = 40 = \(\frac{48x + 30y}{x + y}\)
- \(40(x + y) = 48x + 30y\)
- Simplifying, we have: \(40x + 40y = 48x + 30y\)
- \(8x = 10y\)
- \(\frac{x}{y} = \frac{5}{4}\)
Options:
1. 1:1: This implies equal parts of each, which doesn't satisfy the equation.
2. 5:4: ?? Correct Answer: This ratio holds true to the cost calculation.
3. 2:3: This doesn't balance the derived equation.
4. 3:4: This ratio doesn't meet the cost criteria for 50% profit.
Therefore, Option 2 (5:4) is correct.
By: santosh ProfileResourcesReport error
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