If a shopkeeper sells 1/3 of his goods at a profit of 14%, 3/5 of the goods at a profit of 17.5% and the remaining at a profit of 20%, then his profit on the whole is equal to:
Explanation:
We are talking about 1/3rd, 3/5th of goods. Let us take a total goods worth 1500. (Multiple of LCM of 3 and 5.)
1/3rd of these goods will be worth 500. They are sold at 14% profit i.e., profit = 500 × 14% = Rs. 70
3/5th of these goods will be worth 900. They are sold at 17.5% profit i.e., profit = 900 × 17.5% = Rs. 157.5
Remaining goods will be worth 1500 - 500 - 900 = Rs. 100 They are sold at 20% profit i.e., profit = 100 × 20% = Rs. 20
∴ Total profit = 70 + 157.5 + 20 = 247.5
⇒ Required profit % = 247.5/1500 × 100% = 16.5%
Hence, option (b).
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