Question

By selling oranges at the rate of 72 rs per dozen a woman loses 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

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Answer 2

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

$x-\frac{10}{100}x=72$

$0.9x=72$

$x=80$

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

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

The selling price of 12 oranges is 72.

The formula for profit percentage is

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

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

Negative sign represent the loss.

Therefore the loss percentage is 10%.