# Rupesh Wanted to Buy an Air-conditioner. He Bought It When the Sales Tax on It Had Just Increased by 6%. as a Result Rupesh Had to Pay Rs 1,920 More. Find the Marked Price of the Air-conditioner. - Mathematics

Sum

Rupesh wanted to buy an air-conditioner. He bought it when the sales tax on it had just increased by 6%. As a result Rupesh had to pay Rs 1,920 more. Find the marked price of the air-conditioner.

#### Solution

The increase in price of the air-conditioner is only because of increase in amount of sales tax.

Let marked price be x

And increase in amount of sales tax is

=(Increase in rate of sales tax) x Price/100

This amount is given as Rs.1, 920.

Also it is given

Increase in rate of sales tax = 6 %

Therefore:

Rs 1,920 = x xx 6/100

Rs 1920 = (6 x)/100

x = Rs (1920 xx 100)/6 = Rs 32000

Thus marked price of the air-conditioner is Rs. 32,000

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#### APPEARS IN

Frank ICSE Class 10 Mathematics Part 2
Chapter 2 Sales Tax and Value Added Tax
Exercise 2.1 | Q 24 | Page 35