Question

Two third of a consignment was sold at a profit of 5% and the remaining at a lost of 2%. if the total profit was RS 400, find the value of consignment (in rupees)

Answer 1

Define x:

Let the value of the consignment be x

2/3 of the consignment was sold at a profit of 5%:

5% profit = 0.05 x 2/3x = 1/30 x

Selling Price = 2/3 x + 1/30 x = 7/10 x

Remaining of the consignment was sold at a loss of 2%:

Remaining = 1 - 2/3 = 1/3 x

2% loss = 0.02 x 1/3 x = 1/150 x

Selling Price = 1/3 x - 1/150 x = 49/150 x

Find the total selling price:

Total selling price = 7/10 x + 49/150 x = 77/75 x

Find the profit:

Profit = Selling Price - Cost Price

Profit = 77/75 x - x = 2/75 x

Solve x:

Profit = 2/75 x (Found)

Profit = Rs 400 (Given)

2/75 x = 400

x = 400 ÷ 2/75

x = 400 x 75/2

x = Rs 15000

Answer: The value of the consignment is Rs 15000

Answer 2

here is your answer in this pic OK

........