18. Trisha bought 100 chairs for Rs 8000 and sold 20 of these at a gain of 5%. At what ga
percent she must sell the remaining chairs so as to gain 20% on the whole?
Answers
Answer:
Toshiba bought 100 hens for Rs 8000. Let us find the cost of one hen, which will be equal to Rs 8000 / 100, = Rs 80.
Cost price of 20 hens will be equal to Rs 20 * 80 = Rs 1600
He made a profit of 5% which means his profit will be equal to 5% of Rs 1600, or 5/100 * 1600 = Rs 80.
So his selling price is Rs 1600+ Rs 80 = Rs 1680.
He needs to have a gain of 20 percent on whole, which means the profit on all hens will be equal to 20% of Rs 8000, or 20/100 * 8000 = 1600.
This means his selling price for all hens will be Rs 8000 + Rs 1600 = Rs 9600.
He has already sold 20 hens for Rs 1680, which means he should sell the remaining hens for Rs 9600 - Rs 1680 = Rs 7920.
The cost price for remaining hens was Rs 8000 - Rs 1600 = Rs 6400.
Profit on the remaining hens is Rs 7920 - Rs 6400 = Rs 1520.
This means his profit percent for remaining hens will be equal to 1520/6400 * 100 = 23.75 %