Hi friends,
I was not able to solve this problem. Can someone please solve it..
A store owner has a stock of 100 shirts. He sold some shirts for a 10 day period at a profit of 20%. Thereafter, he put the shirts on a sale, and sold the shirts at a lower profit of 10%. If he made an overall profit of 13%, how many shirts did he sell in the sale?
Thank you so much
Ratio problem
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- jayhawk2001
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We can create an equation based on total sale price.
x = base price
n = num shirts sold at 20% profit
1.2*x*n + 1.1*x*(100-n) = 1.13*100*x
.1n = 3
n = 30
So, num shirts sold in the sale = 70
x = base price
n = num shirts sold at 20% profit
1.2*x*n + 1.1*x*(100-n) = 1.13*100*x
.1n = 3
n = 30
So, num shirts sold in the sale = 70
- Neo2000
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Yup i solved it using the mixtures process.
Not a table but an "X" On the top left write 20 on top right write 10
At the middle of the X write 13
On the bottom write the difference i.e. 20-13 = 7
and 13-10 = 7 (Dont worry about the difference OR consider Mod subtraction
You'll get 3 and 7. carry as it is to the top so that you now get ratio of 20:10 is 3:7
Hope this helps. Am not at home else would have attached an image. Will hopefully add that later in the evening.
Not a table but an "X" On the top left write 20 on top right write 10
At the middle of the X write 13
On the bottom write the difference i.e. 20-13 = 7
and 13-10 = 7 (Dont worry about the difference OR consider Mod subtraction
You'll get 3 and 7. carry as it is to the top so that you now get ratio of 20:10 is 3:7
Hope this helps. Am not at home else would have attached an image. Will hopefully add that later in the evening.
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Pretty simple method to solve
Assume the cost of each shirt as $100
100 shirts (x sold at a profit of 20% and y sold at a profit of only 10%)
For x Shirts the Selling price is $120 (100 + 20%)
For y Shirts the Selling Price is $110 (100 + 10%)
x + y = 100
Therefore y = 100 - x
Now profit % = 13
Formula for Profit % = (Selling Price - Cost Price / Cost Price) * 100
13 = (120x + 110(100-x) - 10,000 (100* $100))/10,000
1300 = 120 x + 11000 - 110x - 10,000
1300 = 10x + 1000
x = 30
Therefore Y = 100 - 30 = 70
Assume the cost of each shirt as $100
100 shirts (x sold at a profit of 20% and y sold at a profit of only 10%)
For x Shirts the Selling price is $120 (100 + 20%)
For y Shirts the Selling Price is $110 (100 + 10%)
x + y = 100
Therefore y = 100 - x
Now profit % = 13
Formula for Profit % = (Selling Price - Cost Price / Cost Price) * 100
13 = (120x + 110(100-x) - 10,000 (100* $100))/10,000
1300 = 120 x + 11000 - 110x - 10,000
1300 = 10x + 1000
x = 30
Therefore Y = 100 - 30 = 70