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Jamila sold a table and a chair for Rs 1050, thereby making a profit of 10% on the table and 25% on the chair. If she had taken a profit of 25% on the table and 10% on the chair she would have got Rs 1065. Find the cost price of each

Solution:

Consider the cost price of the table as Rs x

Consider the cost price of the chair as Rs y.

The selling price of the table, at a profit of 10% = Rs x + 10/100x = Rs110/100x.

The selling price of the chair at a profit of 25% = Rs y + 25/100y = Rs 125/100y.

Hence, 110/100x + 125/100y = 1050----------------(1)

When the table is sold at a profit of 25%, its selling price = Rs (x + 25/100x) = Rs 125/100x.

When the chair is sold at a profit of 10%, its selling price = Rs (y + 10/100y) = Rs 110/100y.

Hence, 125/100x + 110/100y = 1065------------------(2)

From Equations (1) and (2), we get,

110x + 125y = 105000

125x + 110y = 106500

Adding and Subtracting, we get,

235x + 235y = 211500

15x - 15y = 1500.

x+y = 900----------------------(3)

x - y = 100---------------------(4)

On solving equations, (3) and (4), we get

x = 500,

y = 400.

Therefore, the cost price of the table is Rs 500 and the cost price of the chair is Rs 400.

✦ Try This: Jamila sold a table and a chair for Rs 1000, thereby making a profit of 10% on the table and 25% on the chair. If she had taken a profit of 25% on the table and 10% on the chair she would have got Rs 1150. Find the cost price of each.

☛ Also Check: NCERT Solutions for Class 10 Maths Chapter 3

NCERT Exemplar Class 10 Maths Exercise 3.4 Sample Problem 3

Jamila sold a table and a chair for Rs 1050, thereby making a profit of 10% on the table and 25% on the chair. If she had taken a profit of 25% on the table and 10% on the chair she would have got Rs 1065. Find the cost price of each

Summary:

Jamila sold a table and a chair for Rs 1050, thereby making a profit of 10% on the table and 25% on the chair. If she had taken a profit of 25% on the table and 10% on the chair she would have got Rs 1065. The cost price of the table is Rs 500 and the cost price of the chair is Rs 400.

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