Question

A retailer marked up the price of his goods by 20%
above the list price and offers two successive discount
of 10% and 5% on the marked up price. GST is @
18% on the goods. Find the list price of goods if the
consumer pays * 4617 as CGST. Also find the final
price consumer has to pay for the goods.​

Answer 1

Given:

Mark up = 20%

Successive discount = 10% and 5%

GST = 18%

To Find:

(1) The list price

(2) The price that the consumer has to pay

Solution

Define x:

Let x be the cost price

Find the selling price in term of x:

Markup = 20%

Markup = 0.2x

Selling Price = x + 0.2x

Selling Price = 1.2x

Find the price after 10% discount:

Discount = 10%

Discount = 0.1(1.2x)

Discount = 0.12x

Price after discount = 1.2x - 0.12x

Price after discount = 1.08x

Find the price after 5% discount:

Discount = 5%

Discount = 0.05(1.08x)

Discount = 0.054x

Price after discount = 1.08x - 0.054x

Price after discount = 1.026x

Find the GST:

GST = 18%

GST = 0.18(1.026x)

GST = 0.18468x

Find the list price:

0.18468x = 4617

x = 4617 ÷ 0.18468

x = $25000

Find the  price that the consumer has to pay:

Amount to pay = 1.026x +  0.18468x

Amount to pay = 1.21068x

Amount to pay = 1.21068(25000)

Amount to pay = $30267

Answer: The list price is $25000 and the consumer pays $30267

Answer 2

Answer:

50000 is the answer and 60534 is the ans