Toshiba bought 100 hens for rupees 8000 and sold 20 of them at a gain of 5% at what gain percent must sell the remaining so as to gain 20% on the whole
Answers
Answer:
Cost of 100 hens = ₹ 8,000
Cost of 1 hen = ₹ 80
Cost of 20 hens = ₹ 1,600
Profit percentage = 5%
Profit = ₹ 5/100 x 1600
= ₹ 80
Selling price of 20 hens = ₹ 1,680
Overall profit percentage = 20%
Overall profit = ₹ 20/100 x 8000
= ₹ 1,600
Overall selling price = ₹ 9,600
Selling price of remaining 80 hens = Selling price of 100 hens - Selling price of 20 hens
= ₹ (9,600 - 1,680)
= ₹ 7,920
Cost price of 80 hens = ₹ 80 x 80
= ₹ 6,400
Profit = ₹ (7,920 - 6,400)
= ₹ 1,520
Profit percentage = 1,520/6,400 x 100
= 23.75%
Hence, he had to sell the remaining hens at a profit of 23.75% to gain 20% of overall profit.
Hope it helps you......
Cost of 20 hens = 80×20 = 1600
Sold at 5% gain , selling price = 1•05× 1600
S P = 105×16 =1680
S P rest 80 hens = x× 6400
To take gain of 20% on the whole the S P will be
8000×1•2 = 9600
1680 + 6400x = 9600
6400x = 7920
x =7920/6400 = 792/640 = 1•2375
x% = (1•2375 - 1)×100 = 23•75%
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