Question

A dealer marked the price of an article 25% above the cost price and allowed two successive discount of 15% and 24% to a particular customer. as a result he incurred a loss of 539. at what price did he sell the item to the customer?

Answer 1

check it whether it is right or wrong

Answer 2

Answer:

The selling price is Rs.2258.41.

Step-by-step explanation:

Given : A dealer marked the price of an article 25% above the cost price and allowed two successive discount of 15% and 24% to a particular customer. as a result he incurred a loss of 539.

To find : At what price did he sell the item to the customer?

Solution :

Let the cost price of the article is Rs.100.

A dealer marked the price of an article 25% above the cost price

Then the Market price is 100+25=125

According to question,

The selling price of the article is

SP=(100-15)% of (100-24)% of 125

i.e. $SP=\frac{85}{100}\times\frac{76}{100}\times 125$

$SP=80.75$

The selling price is Rs.80.75

Loss = CP-SP

Loss = 100-80.75

Loss=Rs.19.25

When the loss is Rs.539

The selling price is

$SP=\frac{80.75}{19.25}\times539$

$SP=4.19\times 539$

$SP=2258.41$

Therefore, The selling price is Rs.2258.41.