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?

• A. ₹ 155.5
• B. ₹ 160.5
• C. ₹ 150.5
• D. ₹ 157.5

Answer 1

Answer: (D)

₹ 157.5

Answer 2

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 $0.75 \times 210 = ₹157.50/kg.$