Question

By selling orange at the rate of 72 Rs. per dozen , a women losess 10% of her investment What would be the percentage of her gain or loss if she sold them at 600 Rs. per hundred​

Answer 1

Answer:

The loss percentage is 10%.

Step-by-step explanation:

Let the cost of 1 dozen oranges be x.

By selling oranges at the rate of 72 rs per dozen a woman loses 10% of her investment

x-\frac{10}{100}x=72x−

100

10

x=72

0.9x=720.9x=72

x=80x=80

1 dozen = 12 oranges

The cost of 12 oranges is Rs. 80.

The selling price of 100 oranges is 600. The selling price of 12 orange is

SP=\frac{600}{100}\times 12=72SP=

100

600

×12=72

The selling price of 12 oranges is 72.

The formula for profit percentage is

\%=\frac{SP-CP}{CP}\times 100%=

CP

SP−CP

×100

\%=\frac{72-80}{80}\times 100=-10%=

80

72−80

×100=−10

Negative sign represent the loss.

Therefore the loss percentage is 10%.