The marked price of a television is ₹10000. The selling price after discount and tax is ₹9860. Find the possible percentages (whole numbers) of tax and discount. (The tax cannot be more than 100%)
Answers
Given : The marked price of a television is ₹10000. The selling price after discount and tax is ₹9860.
To Find : the possible percentages (whole numbers) of tax and discount.
Solution:
The marked price of a television is ₹10000
Discount = D %
=> Discount = (D/100)10000 = 100D Rs
Selling Price Before Discount = 10000 - 100D Rs
Tax = T %
=> Tax = (T/100)(10000 - 100D) = 100T - DT
Price after Tax = 10000 - 100D + 100T - DT
10000 - 100D + 100T - DT = 9860
=> 100D - 100T + DT = 140
Possible Solutions
D = 15 T = 16
D = 32 T = 45
D = 42 T = 70
Discount % after Discount Tax % Afte Tax
10000 15 8500 16 9860
10000 32 6800 45 9860
10000 42 5800 70 9860
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