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
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
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 = × 100
Gain percentage = × 100 = 30%.
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