Question

Tanya buys an electric iron for 712.80, which includes two successive discounts of 10% and 4%
respectively on the marked price and then 10% tax on the remaining price. Find the marked price
of the electric iron.​

Answer 1

Question

Tanya buys an electric iron for 712.80, which includes two successive discounts of 10% and 4%

respectively on the marked price and then 10% tax on the remaining price. Find the marked price

of the electric iron.

Given

• Electric iron for 712.80
• two accessive discounts of 10% and 4% on marked price
• Tax on remaining price is 10%

Find

The marked price of the electric iron.

Solution

Let the marked price be x.

two successive discounts of 10% and 4% on marked price.

Therefore the remaining price,

$\sf = x \\ \sf (1 - \frac{10}{100})(1 - \frac{1}{100} ) = x \: \times \frac{90}{100} \times \frac{96}{100}$

Therefore taxes of 10% on remaining price

$\sf \frac{90 \times 96x}{10000} \times \frac{96}{100}$

Tanya buys iron for Rupees 712.80

Hence ,

$\sf \frac{90 \times 96x}{10000} + \frac{90 \times 96x}{10000} \times \frac{10}{100} = 712.80$

$\sf \implies \frac{90 \times 96}{10000} (1 + \frac{10}{100} ) = \frac{7128}{10}$

After this we get,

x = 750

Therefore marked price of electronic iron is Rupees 750.

More

Formula to calculate cost price if selling price and profit percentage as given :

CP = (SP*100)/ ( 100 + percentage profit )