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प्रश्न
When the rate of sale-tax is decreased from 9% to 6% for a coloured T.V.; Mrs. Geeta will save Rs 780 in buying this T.V. Find the list price of the T.V.
उत्तर
Let the list price of T.V = y
Sales tax when the rate is 9% = `9/100 "y"`
=> Sale price is `"y" + (9"y")/100`
Sales tax when the rate is 6% = `6/100 "y"`
=> Sale price is `"y" + 6/100 "y"`
Differences of sale prices
`= "y" + (9"y")/100 - ("y" + (6"y")/100)`
`= "y" + (9"y")/100 - "y" - (6"y")/100`
`= (9"y")/100 - (6"y")/100`
Saving for Geeta = 780
Therefore we have
`780 = (9"y")/100 - (6"y")/100`
`=> (3"y")/100 = 780`
`=> "y" = (780 xx 100)/3`
=> y = Rs. 26000
Thus the list price of the T.V is Rs. 26000
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