A trader purchased 500 kg of sugar at Rs40 per kg He sold 200 kg of it at a profit of 10 and 120 kg ...........

Quantitative Aptitude (MTS) Profit and loss

A trader purchased 500 kg of sugar at Rs40 per kg. He sold 200 kg of it at a profit of 10% and 120 kg at a loss of 5%. At what

rate per kg (in Rs, correct to 2 decimal places) should he sell the remaining sugar to gain 12% on his initial investment?

This questions was previously asked in

SSC MTS 18th October 2021 Shift-2

48.67

52.33

50.22

44.80

- Initial Cost: The trader bought 500 kg of sugar at Rs40/kg. So, the total cost is Rs20,000.

- Selling 200 kg at 10% Profit:

- Selling price per kg = Rs40 + 10% profit = Rs44/kg.

- Total revenue from 200 kg = 200 kg × Rs44 = Rs8,800.

- Selling 120 kg at 5% Loss:

- Selling price per kg = Rs40 - 5% loss = Rs38/kg.

- Total revenue from 120 kg = 120 kg × Rs38 = Rs4,560.

- Remaining Sugar: 500 kg - 200 kg - 120 kg = 180 kg.

- Desired Overall Profit:

- Target revenue for 12% profit = Rs20,000 + 12% of Rs20,000 = Rs22,400.

- Revenue needed from 180 kg = Rs22,400 - Rs8,800 - Rs4,560 = Rs9,040.

- Selling price per kg for remaining 180 kg = Rs9,040 / 180 kg = Rs50.22.

- Answer Options:

- Option:1, 48.67

- Option:2, 52.33

- Option:3, 50.22

- Option:4, 44.80

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