Question

10.
By selling an item at 3/4 of its actual selling price, a
trader incurs a loss of 10%. What will be the profit
percentage if he sells at actual selling price?​

Answer 1

Answer:

let cp =100

loss=10%

so, sp = 90

but 90 is the 3/4th of the of the actual price

hence sp = 90*4/3

=120%

profit = sp-cp

= 120-100

=20%

Answer 2

Profit  percentage if he sells at actual selling price is 20 %

Solution:

Let C.P of the article = 100

Loss = 10 %

Selling price is given as:

Selling price = cost price - 10 % of cost price

$Selling price = 100 - 10 \% of 100\\\\Selling\ price = 100 - \frac{10}{100} \times 100\\\\Selling\ price = 100 - 10\\\\Selling\ price = 90$

But 90 is 3/4th of actual selling price

$Actual\ selling\ price = 90 \times \frac{4}{3}\\\\Actual\ selling\ price = 120$

Profit = selling price - cost price

Profit = 120 - 100 = 20

The profit percentage is given as:

$Profit\ percentage = \frac{profit}{cost\ price} \times 100\\\\Profit\ percentage = \frac{20}{100} \times 100\\\\Profit\ percentage = 20 \%$

Thus profit  percentage if he sells at actual selling price is 20 %

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