A shopkeeper sells a table and a chair together for Rs 1050 making a profit of 10% on the table and 25% on the chair. If he had taken a profit of 25% on the table and 10% on the chair, he would have got Rs 1065. Find the cost price (in Rs) of the table.

Question

Accepted Answer

Rs 500. 1.10t + 1.25c = 1050 and 1.25t + 1.10c = 1065. Adding: 2.35(t+c)=2115 -> t+c=900. Subtracting: -0.15t + 0.15c = -15 -> t - c = 100. So t=500, c=400.

A shopkeeper sells a table and a chair together for Rs 1050 making a profit of 10% on the table and 25% on the chair. If he had taken a profit of 25% on the table and 10% on the chair, he would have got Rs 1065. Find the cost price (in Rs) of the table.

Step-by-Step Solution

Master this chapter in 30 minutes a day.

More Class 10 Word Problems on Linear Pairs practice