Math, asked by sanyasireddy81, 9 months ago

a man sold two cycles for 3000 each gaining 20% on one and lodging 20% on the other find his gain or loss on the whole transactionexplain ​

Answers

Answered by amikkr
1

The seller incurs a loss of 4% overall on both cycles.

  • Two cycles are sold at Rs. 3000 each.
  • On one the seller gains 20% and on one 20% .
  • We have to find the overall gain or loss percentage.
  • Let us assume the cost price of first be x_1 and other be x_2.
  • We have to calculate the profit and loss on the cycles.
  • Profit percentage = \frac{4752-x_1}{x_1} × 100 = 20

3000-x_1 = 0.20x_1

3000 = 1.2x_1

x_1 = 3000/1.2 = 2500 Rs.

  • Therefore cost price of the cycle where the seller gains 20% is Rs. 2500.
  • Loss percentage = \frac{x_2-3000}{x_2} × 100 = 20

x_2-3000  = 0.2x_2

0.8x_2  = 3000

x_2 = Rs. 3750

  • Therefore cost price of the cycle where the seller loses 20% is Rs. 3750.
  • Now we have to calculate the net profit or loss percentage, we find the total cost price of two cycles,
  • Total cost price = 2500 + 3750 = 6250 Rs.
  • Now ,Profit on cycle 1 - Loss on cycle 2 = Net gain

(3000-2500) - (3750-3000) = Net gain

Net gain = 500 - 750 = -250

  • Therefore the seller gains a loss of 250 Rs. total on both cycles.
  • Now net loss percentage = \frac{Net \ loss}{total \ cost \ price} × 100  

Net loss percentage = \frac{250}{6250} × 100 = 4%

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