X sold something to Y for 540 rupees with a 20% loss. Y spent 170 rupees repairing it and selling Z at the rate at which X would have gained 24%. Find the profit earned by Y.

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AFCAT 02/2023 Memory Based Paper 25 Aug 2023
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  1. 229.5 rupees
  2. 227.5 rupees
  3. 127 rupees
  4. 229 rupees

Answer (Detailed Solution Below)

Option 3 : 127 rupees
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Detailed Solution

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Given:

X sold to Y for 540 rupees at a 20% loss.

Y spent 170 rupees on repairs.

Z sold by Y at a rate that would give X a 24% gain.

Formula used:

CP = SP/(100 - Loss)%

CP = SP/(100 + profit)

Calculation:

CP for X = 540 × 100/80 = Rs 675.

The price at which Y sold to Z = 675 + 24% of 675

⇒ 675 + 6/25 × 675 = Rs 837.

The total cost price for Y = 540 + 170 = Rs 710.

Profit for Y = Selling price - CP for Y = 837 - 710 = Rs 127.

∴  Y earned a profit of Rs 127.

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