|
Question 1072148: Samay has some sugar worth Rs 3000. He sold one-third at a loss of 10%.By how much percentage must the selling price be increased in the remaining so that there is a gain of 10% in outlay after allowing 20% discount .
Answer by Theo(13342)   (Show Source):
You can put this solution on YOUR website! two ways to look at this because i'm not understanding exactly what you're looking for.
does he want to make 10% gain on the remaining 2/3, or does he want to make 10% gain on the whole thing?
i'm assume he wants to make 10% gain on the whole thing, including the part where he took a 10% loss.
if that's not what you want, then let me know and i'll re-work the solution accordingly.
he has merchandise that cost him 3000.
he sells 1/3 of this at a loss of 10%.
1/3 * 3000 = 1000 from which he received revenue of 900 which gave him the 10% loss of 100.
he has 2/3 of the 3000 left which means he has 2000 worth of merchandise left to sell.
he wants to make an overall gain of 10% on the 3000 worth of merchandise.
10% of 3000 is equal to 300.
the total gain he wants to make is 300 from the remaining 2000.
he wants to sell the remaining 2000 at a 20% discount from the retail price.
what he is saying is that the selling price has to be 80% of the retail price.
to make a profit of 300, then the selling price minus the cost of 2000 must be equal to 300.
let R equal the retail price and let S = the selling price and let C = the cost and let P equal the profit.
the equation would start out as S - C = P
this means selling price minus cost = profit.
since S = .80 * R, the equation becomes .80 * R - C = P
this means 80% of the retail price minus the cost is equal to profit.
since P = 300 and C = 2000, the equation becomes .80 * R - 2000 = 300
add 300 to both sides of this equation to get .80 * R = 2300.
divide both sides of this equation by .80 to get R = 2300 /.8 = 2875.
the retail price has to be 2875.
discount is 20% of 2875 = 575.
2875 - 575 = 2300.
selling price is equal to 2300.
cost of the remaining merchandise is 2000 which makes the profit = 300.
original cost is 3000.
profit is 300.
percent profit is 300 / 3000 * 100 = 10%.
by charging a retail price of 2875 for the remaining 2000 worth of merchandise, he can give a 20% discount to make the selling price 2300 which gives him 300 profit which is 10% of the overall cost of 3000 worth of merchandise.
at least, i think this is what you're asking.
if different, let me know what's different and i'll rework it for you based on that new understanding.
|
|
|
| |
