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Question
Anand bought an Almirah for Rs 5,135.70 which included 15% rebate on the basic price and then 6% sales tax on the remaining price. Find the basic price of the almirah.
Solution
Let the basic price be x
Rebate = 15 % of x
Rebated oost of almirah = x - 15 % of x
`= x - (15 "x")/100`
`= (85 "x")/100`
Sales tax = 6 % of cost of almirah
`= 6/100 xx (85 "x")/100`
`= (510 "x")/10000`
Total cost = oost +sales tax
`= (85 "x")/100 + (510 "x")/10000`
`= (8500 "x" + 510 "x")/10000`
`= (9010 "x")/10000`
But total oost = Rs 5, 135.70
⇒ `= (9010 "x")/10000` = Rs 5135.70
⇒ x = `(5135.70 xx 10000)/9010`
⇒ x = Rs 5700
Hence, Basic price of washing machine= Rs 5,700
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