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?
Show answer & explanation
Correct answer: A
Explanation
The correct answer is option 1 i.e. 40
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Understanding |
Application |
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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%. |
Suppose the seller sold x bags at 10% profit and (100 – x) bags at 20% profit. So, CP × x × 1.1 + CP × (100 – x) × 1.2 = 100 × CP × 1.14 ⇒ 1.1x + 120 – 1.2x = 114 ⇒ 0.1x = 6 ⇒ x = 60 Hence, He sold 40 (= 100 – 60) bags at 20% profit. |