Question:
Bala bought 100 kg of flour and 100 kg of sugar. The flour was 25% cheaper than the sugar per kg. He mixed the entire quantity and sold the mixture at ₹275.50 per kg, making an overall profit of 50%. What is the cost price of flour per kg?
Bala bought 100 kg of flour and 100 kg of sugar. The flour was 25% cheaper than the sugar per kg. He mixed the entire quantity and sold the mixture at ₹275.50 per kg, making an overall profit of 50%. What is the cost price of flour per kg?
Updated On: Aug 23, 2024
- ₹ 155.5
- ₹ 160.5
- ₹ 150.5
- ₹ 157.5
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The Correct Option is D
Solution and Explanation
Let's assume the cost price of sugar is S. Therefore, the cost price of flour (F) is 0.75S
Total cost price of the mixture = \(100S + 100 \times 0.75S = 175S\)
Since there's a 50% overall profit, the total selling price is \(1.5 \times 175S = 262.5S\)
The total weight of the mixture is 200 kg. So, the total selling price is also \(200 \times 275.50 = 55100.\)
Equating the two values of total selling price: 262.5S = 55100
Solving for S: S = \(\frac{55100}{262.5} = 210\)
Therefore, the cost price of sugar is ₹210/kg. And the cost price of flour is \( 0.75 \times 210 = ₹157.50/kg.\)
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