Math, asked by sthabikram73, 1 year ago

100 goods are purchased at the rate of Rs240. 1÷4 of the goods are sold at the gain of 10%.At what percentage profit must the rest goods be sold so that the profit on the whole outlay may be 25%?​

Answers

Answered by ersailendrameher
1

Answer:130%

Step-by-step explanation:

Total Expenses =24000

1/4=25 item sold At 10% profit

=6600

To gain 25% profit the final amount should be 24000+25%=30000

30000-6600=23400

23400/75 pieces to get that profit

=312 Per piece

240xx%=312

=130%

Answered by amikkr
12

The remaining goods must be sold at 30% profit so that the whole outlay must incur a 25% profit.

  • 100 goods are purchased at a rate of Rs. 240.
  • Total cost price = 240 × 100 = Rs. 24000
  • One-fourth of the goods are sold at a gain of 10%.
  • One-fourth of the goods is 100÷4 = 25.
  • 25 goods are sold at 10% gain.
  • Now 10% gain is 240 × 0.1 = 24 rupees.
  • Total profit incurred on 25 goods = 25 × 24 =Rs. 600

  • We have to find the percentage profit of rest goods so that the total gain obtained should be 25%.
  • Now calculating total profit incurred by the seller if he gains 25% ,

0.25 × 24000 = 6000 Rs.

  • The seller must gain a total of Rs. 6000.
  • Seller already gained a profit of Rs. 600 by selling 25 goods.
  • Therefore seller must gain 6000-600 = 5400 Rs. by selling remaining products.
  • Remaining number of products are 100 -25 = 75.
  • Gain on one product must be 5400 ÷ 75 = 72 rupees to gain a total of Rs. 5400 from 75 products.
  • Now calculating the percentage of gain on 75 products obtained,

Gain percentage = \frac{gain}{Cost \ price} × 100

Gain percentage = \frac{72}{240} × 100 = 30%.

Similar questions