Amita buys 100 apples at the rate of 12 for Rs 100 80 and 200 apples at the rate of 15 for Rs 117 It...........

Quantitative Aptitude (MTS) Percentage

Amita buys 100 apples at the rate of 12 for Rs 100.80 and 200 apples at the rate of 15 for Rs 117. It was found that 10% of the

apples were spoilt. She sold all the apples at 20 for Rs 204. Her profit percentage in the entire transaction is:

This questions was previously asked in

SSC MTS 14th October 2021 Shift-3

14.25%

15.5%

14.75%

15.25%

- Amita buys 100 apples for Rs 100.80 at a rate of 12 apples, so the cost per apple is Rs 100.80/12 = Rs 8.40.

- She buys another 200 apples for Rs 117 at a rate of 15 apples, so the cost per apple is Rs 117/15 = Rs 7.80.

- Total cost for 100 apples = 100 × Rs 8.40 = Rs 840.

- Total cost for 200 apples = 200 × Rs 7.80 = Rs 1,560.

- Combined total cost = Rs 840 + Rs 1,560 = Rs 2,400.

- 10% of the 300 apples (30 apples) were spoilt, leaving her with 270 apples to sell.

- She sells apples at the rate of 20 for Rs 204, making Rs 10.20 per apple.

- Total selling price = 270 × Rs 10.20 = Rs 2,754.

- Profit = Total Selling Price - Total Cost = Rs 2,754 - Rs 2,400 = Rs 354.

- Profit percentage = (Profit/Total Cost) × 100 = (Rs 354/Rs 2,400) × 100 = 14.75%.

Based on the calculation:

Option 3: 14.75% is correct.

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