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A man bought a table a chair for$1500. The sold the table at a profit of 11% and chair at 26%profit . As a result .he made a profit of 19%on the whole . Find the cost price of chair and table each?
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A man bought a table a chair for$1500. The sold the table at a profit ...
Given Data:
Cost price of table and chair = $1500
Profit on table = 11%
Profit on chair = 26%
Overall profit = 19%

To find:
Cost price of the table and chair individually.

Solution:

Let the cost price of the table be x and the cost price of the chair be y.

Calculating Profit on Table:
Profit on table = 11% of the cost price of the table
= (11/100) * x
= 0.11x

Calculating Profit on Chair:
Profit on chair = 26% of the cost price of the chair
= (26/100) * y
= 0.26y

Calculating Total Profit:
Overall profit = 19% of the total cost price (table + chair)
= (19/100) * (x + y)
= 0.19(x + y)

Given that the total cost price is $1500:
x + y = 1500

Now, we can form the equation for the total profit:
0.19(x + y) = 0.11x + 0.26y

Simplifying the equation:
0.19x + 0.19y = 0.11x + 0.26y

Bringing all terms to one side:
0.19x - 0.11x = 0.26y - 0.19y
0.08x = 0.07y

Divide both sides of the equation by 0.07:
x = (0.07/0.08)y
x = 0.875y

Substituting the value of x in the equation x + y = 1500:
0.875y + y = 1500
1.875y = 1500

Divide both sides of the equation by 1.875:
y = 1500/1.875
y = 800

Now, substitute the value of y in the equation x + y = 1500:
x + 800 = 1500
x = 1500 - 800
x = 700

Therefore, the cost price of the table is $700 and the cost price of the chair is $800.
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A man bought a table a chair for$1500. The sold the table at a profit of 11% and chair at 26%profit . As a result .he made a profit of 19%on the whole . Find the cost price of chair and table each?
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