Question

shopkeeper purchases the goods of Rs 2000 at 20% discount.if he sold at Rs 600 less than its marked price.Find its profit or loss percentage.​

Answer 1

Answer:

5% loss

Step-by-step explanation:

2000 is the cost price of the shopkeeper. This is after a 20% discount, so the before-discount price would be:

20% reduced of what number is 2000?

We let that price be x, so we can write an equation and solve:

x - 20% of x = 2000

Note: 20% = 20/100 = 0.2

So,

x - 0.2x = 2000

0.8x = 2000

x = 2000/0.8

x = 2500

Now, if he were to sell for 600 less, that would be:

2500 - 600 = 1900

That would be a 2000 - 1900 = 100 LOSS

To find as a percentage, we use the formula:

$\frac{New-Old}{Old}*100$

Where

New = 1900

Old = 2000 (original cost)

Substituting, we find the percentage:

$\frac{New-Old}{Old}*100\\\frac{1900-2000}{2000}*100\\=0.05*100\\=5$

So, that's a 5% loss