Question

A grain trader has 100 bags of rice. He sold some bags at 10% profit and rest at 20% profit. His overall profit on selling these 100 bags was 14%. How many bags did he sell at 20% profit?

• A. 40
• B. 50
• C. 60
• D. 70

Answer 1

Answer:

A. 40

Solution:

Given:

A grain trader has 100 bags of rice. He sold a part of it at 10% profit and the rest at 20% profit. His overall profit is 14%.

Concept used:

Allegation method

Calculation:

As shown in the above figure the ratio of the two types of kinds of rice sold at profit 10% and 20% are 3:2. And the total rice quantity is 100 kg

⇒ This 5 unit = 3 + 2 = 100 kg, 1 unit = 20 kg

⇒ The quantity of rice sold at 20% profit is 2×20 = 40 kg

∴ The answer is 40 kg