Question

jenny goes to a shop to buy a pressure cooker costing Rs.1,962. The rate of sales tax is 9%. She asks

the shopkeeper to reduce the price of cooker to such an extent that that she has to pay Rs.1,962

inclusive of sales tax. Find the reduction needed in the price of the cooker.

Answer 1

The cost of the gas cooker plus the tax:

Rs. 1962 + (9/100 × 1962 =176.58 )

= 1962 + 176.58

= Rs. 2138.58

For Jenny to buy the gas cooker at Rs. 1962, this will be the calculation:

- We will assume the cost price of the gas to be x

- The selling price will be x + 9%x

If the cost price be x

Then the selling price will be:

x + 9/100 × x = 1962

x + 0.09x = 1962

1.09x = 1962

x = 1962/1.09

x = 1800

⇒   The cost price is Rs. 1800

This therefore means that the shopkeeper must sell the gas cooker to Jenny at Rs. 1800 for her to buy it at Rs.1962 inclusive of 9% sales tax

Answer 2

Hi ,

Let the cost price of the pressure cooker

( c p ) = Rs x

rate of sale tax = t = 9%

selling price ( s.p ) = Rs 1962

c.p × ( 100 + t ) / 100 = s.p

x × ( 100 + 9 ) /100 = 1962

x = 1962 × ( 100/109 )

x = 1800

Therefore ,

shopkeeper has to reduce the price of cooker

= original price - x

= 1962 - 1800

= Rs 162

I hope this helps you.

: )