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Siyaram has 100 kg apples, he sells a part of it at 8% profit and rest of it at 18% profit. The overall profit he earns is 14%. The quantity he sold at 18% profit is:

Solution

✅ Correct Option: 3

Siyaram has 100 kg apples total. He sells them in two batches:

  • Batch 1: Some amount at 8% profit
  • Batch 2: Rest at 18% profit
  • Overall: 14% profit on the total

The quantity sold at 18% profit needs to be determined.


Let the amount sold at 8% profit be xx kg.

Then the amount sold at 18% profit is (100−x)(100 - x) kg.


The total profit from all apples equals the sum of individual profits from each batch.

14% of 100=8% of x+18% of (100−x)14\% \text{ of } 100 = 8\% \text{ of } x + 18\% \text{ of } (100 - x)

Converting to decimal form:

14=0.08x+0.18(100−x)14 = 0.08x + 0.18(100 - x)

14=0.08x+18−0.18x14 = 0.08x + 18 - 0.18x

14=18−0.10x14 = 18 - 0.10x

0.10x=18−140.10x = 18 - 14

0.10x=40.10x = 4

x=40x = 40 kg


The quantity sold at 8% profit is 40 kg.

The quantity sold at 18% profit:

100−40=60100 - 40 = 60 kg

Therefore, the quantity sold at 18% profit is 60 kg.

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