In what ratio should sugar costing ₹84 per kg be mixed with sugar costing ₹59 per kg so that by selling the mixture at ₹73.7 per kg, there is a profit of 10%?

Question

Question

This question was previously asked in

RPF Constable 2024 Official Paper (Held On 02 Mar, 2025 Shift 2)

Answer 1

Given -

Sugar costing Rs. 84 per kg be mixed with sugar costing Rs. 59 per kg

Profit = 10%, selling price = Rs. 73.7

Formula used -

Selling price = (100 + profit) × cost price/100

Solution -

Let the cost price of the whole mixture be Rs. x.

⇒ x = 73.7 × 100/110

⇒ x = Rs. 67

Ratio = (67 - 59) ∶ (84 – 67)

⇒ 8 ∶ 17

∴ The ratio is 8 : 17.