Question

a shopkeeper marks his goods 20% above cost price and allows a discount of 15%.what percent dose he gain or lose​

Answer 1

Answer:

The shopkeeper gains 2%.

Step-by-step explanation:

Let the Cost Price be ₹x.

So, the shopkeeper's marked price = ₹20/100*x + x

= 120x/100

= ₹12x/10

Discount is taken on Marked Price.

Selling Price = Marked Price - Discount

= 12x/10 - 15/100 * 12x/10

= 12x/10 * (1 - 15/100)                        [Taking 12/10x as factor]

= 12x/10 * (85/100)

= 12x * 85/10*100

= 1020x/1000

= 102x/100

= ₹1.02x

Therefore, SP > CP

as, 1.02x > x

If SP > CP,

The shopkeeper makes a profit

Profit = SP - CP

= 1.02x - x

= 0.02x

Profit % = Profit/CP * 100%

= 0.02x/x * 100%

= 2x/x%

= 2%

Hope this helps! If it does, feel free to mark it brainliest! Thanks :D