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Question
A Golf set was available for Rs 36,408.96, which included three successive discounts of 16%, 14% and 10% on the marked price and a sales tax of 12%. Find the marked price of the golf set.
Solution
Let the list price be x
First rebate = 16 % of x
Cost of golf set after first discount= x - 16 % of x
`= "x" - (16 "x")/100`
`= (84 "x")/100`
= 0.84 x
Seoond rebate = 14 % of 0.84 x
Cost of golf set after seoond disoount = 0.84 x - 14 % of o.84 x
`= 0.84 "x" - (14/100 xx 0.84 "x")`
`= 0.84 "x" - 0.1176 "x"`
= 0.7224 x
Third rebate = 10 % of 0.7224 x
Cost of golf set after third discount
= 0. 7224 x - 10 % of 0. 7224 x
= 0. 7224 x - `(10/100 xx 0.7224 "x")`
= 0.7224 x- 0.07224 x
= 0.65016 x
Sales tax = 12 % of cost of golf set
= `12/100 xx 0.65016 "x"`
= 0.078019 x
Total cost = cost +sales tax
= 0.65016 x + 0.078019 x = 0.728179 x
But total cost = Rs 36,408.96
⇒ 0.728179x = Rs 36,408. 96
⇒ x = `36408.96/0.728179`
⇒ x = Rs 50,000.01 = Rs 50,000
Hence, Basic price of golf set = Rs 50,000
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