Question

By selling a TV for Rs 6900, a shopkeeper loses 8%. Find his cost price. What must be the price so as to make a profit of 12%?​

Answer 1

The cost price of the TV is approximately Rs 7500. To make a profit of 12%, the price would be Rs 8400.

Step-by-step explanation:

To find the cost price of the TV, we need to consider the loss percentage. If the shopkeeper sells the TV for Rs 6900 and incurs a loss of 8%, then the selling price can be calculated as 100% - 8% = 92% of the cost price. Let's denote the cost price as x. So, 92% of x is equal to Rs 6900. Mathematically, we can write the equation as:

92% of x = Rs 6900

To solve for x, we divide both sides of the equation by 92% (0.92):

x = Rs 6900 ÷ 0.92

x ≈ Rs 7500

Therefore, the cost price of the TV is approximately Rs 7500.

To find the price that would result in a profit of 12%, we need to add the profit percentage to the cost price. Adding 12% profit to the cost price of Rs 7500 gives:

12% of Rs 7500 = (12 ÷ 100) x Rs 7500 = Rs 900

Thus, the price to make a profit of 12% would be Rs 7500 + Rs 900 = Rs 8400.

Answer 2

• The selling price must be ₹8400 to make a profit of 12%

======================

Given

• Selling price of a TV is ₹6900,
• With this price the loss is 8%.

To find

• SP to make a profit of 12%

Solution

Find the cost, x:

• x - 8% of x = 6900
• x - 0.08x = 6900
• 0.92x = 6900
• x = 6900/0.92
• x = 7500

Find the price to get 12% profit:

• 7500 + 12% =
• 7500*1.12 =
• 8400