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Question
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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