Question

Sara sells her sofa set for Rs. 12000 making a profit of 10%. How much did the sofa set cost her? At what price she would sell it for, If she wants to make a

profit of 20%?​

Answer 1

To calculate the cost of the sofa set, divide the selling price by 1 plus the profit percentage. For a profit of 10%, the cost of the sofa set is Rs. 10909.09. To calculate the selling price for a profit of 20%, multiply the cost price by 1 plus the profit percentage. The selling price would be Rs. 13090.90.

Step-by-step explanation:

To calculate the cost of the sofa set, we can use the formula:

Cost price = Selling price / (1 + Profit percent)

Given that Sara sold her sofa set for Rs. 12000 making a profit of 10%, we can substitute the values into the formula:

Cost price = 12000 / (1 + 0.10) = 12000 / 1.10 = Rs. 10909.09

So, the cost of the sofa set for Sara was Rs. 10909.09.

To calculate the selling price for a profit of 20%, we can use the formula:

Selling price = Cost price * (1 + Profit percent)

Substituting the values, we get:

Selling price = 10909.09 * (1 + 0.20) = 10909.09 * 1.20 = Rs. 13090.90

Therefore, Sara should sell the sofa set for Rs. 13090.90 to make a profit of 20%.