# Profit earned by Arvind by selling a table at Rs.1708 is same as the loss incurred by selling the table for Rs 1092. What is the selling price of the

17 views
in Aptitude
closed
Profit earned by Arvind by selling a table at Rs.1708 is same as the loss incurred by selling the table for Rs 1092. What is the selling price of the table if it is sold at 10% profit.
1. Rs.1400
2. Rs.1440
3. Rs.1200
4. Rs.1540

by (46.1k points)
selected

Correct Answer - Option 4 : Rs.1540
Given

Selling price of table, when there is profit = Rs.1708

Selling price of table, when there is loss = Rs.1092

Profit = loss

Formula used

Selling price = Cost price + Profit, when selling price > cost price

or

Selling Price = Cost price - Loss, when cost price > loss

Calculation

Let the profit and loss is Rs. x

1708 = cost price + x

1708 - x = cost price     ---(1)

1092 = cost price - x

1092 + x = cost price      ---(2)

From (1) and (2)

1708 - x = 1092 + x

⇒ 1708 - 1092 = x + x

⇒ 616 = 2x

⇒ 308 = x

Cost price = Rs. (1708 - 308)

Cost price = Rs.1400

Selling price = 1400 + 10% of 1400

⇒ 1400 + 140

⇒ Rs.1540

∴ Selling price of table is Rs.1540, when there is a profit of 10%.