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Question
Shalini bought an electric washing machine for Rs 24,556.50 which included 15% rebate on the basic price and then 7% sales tax on the remaining price. Find the basic price of the washing Machine.
Solution
Let the basic price be x
Rebate = 15 % of x
Rebated oost of washing machine= x - 15 % of x
`= "x" - (15 "x")/100`
`= (85 "x")/100`
Sales tax = 7 % of oost of washing machine
`= 7/100 xx (85 "x")/100`
`= (595 "x")/10000`
Total oost = oost + sales tax
`= (85 "x")/100 + (595 "x")/10000`
`= (8500 "x" + 595 "x")/10000`
`= (9095 "x")/10000`
But total oost = Rs 24,556.50
⇒ `(9095 "x")/10000` = Rs 24556.50
⇒ x = `(24556.50 xx 10000)/9095`
⇒ x = Rs 27, 000
Hence, Basic price of washing machine= Rs 27,000
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