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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 ...
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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 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? for Commerce 2024 is part of Commerce preparation. The Question and answers have been prepared according to the Commerce exam syllabus. Information about 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? covers all topics & solutions for Commerce 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 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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