Question

The sales price an
article including the sales tax is Rs 1232. The
rate of sales tax is 10%. If the shopkeeper has made a profit of
Rs 12%, then the cost price of the article is

Answer 1

Selling price with tax=1232
tax=10% of 1232=(10/100)1232=123.2
Selling price-tax=1232-123,2=1108.8
Profit=Sellingprice - tax - cost price=12% of cost price
=1108.8-cost price=(12/100)(cost price)
(112/100)cost price=1108.8
cost price=990

Answer 2

Answer:

Rs.1000

Step-by-step explanation:

Let x be the cost price

Now profit = 12%

So, SP = $x+\frac{12}{100}x=1.12x$

Now sales tax = 10%

So, SP with sales tax= $1.12x+1.12x \times \frac{10}{100}=1.12x+0.112x=1.232x$

The sales price an  article including the sales tax is Rs 1232.

So,$1.232x=1232$

$x=\frac{1232}{1.232}$

$x=1000$

Hence The cost price is Rs.1000