Varun spent Rs. 9 lakh on purchasing and altering his new car. He spent 7% on speakers and woofers, 5% on alloy wheels, 2% on insurance, 4% on repainting, 9% on interiors and the remaining was the actual cost of the car. If Road Tax, charged at 10%, is included in the actual cost of the car, calculate the amount of Road Tax?
Answers
Given : Varun spent Rs. 9 lakh on purchasing and altering his new car. He spent 7% on speakers and woofers, 5% on alloy wheels, 2% on insurance, 4% on repainting, 9% on interiors and the remaining was the actual cost of the car.
To find : Amount of Road Tax
Solution:
Total Amount Spent = 900000 Rs ( 9 lakh)
Spent on Speaker = 7 %
Alloy = 5 %
Insurance = 2 %
Repainting = 4 %
Interiors = 9 %
Total = 7 + 5 + 2 + 4 + 9 = 27 %
Remaining Cost = Actual Cost of Car = 900000 - (27/100)900000
= 900000 - 243000
= 657000 Rs
actual cost of the car includes 10 % Road tax
Car cost before Road Tax = C
10 % Road Tax = (10/100)C = 0.1C
C + 0.1C = 657000
=> 1.1C = 657000
=> C = 5,97,272.73
0.1C = 59727 . 27 Rs
= 59727 Rs
amount of Road Tax = Rs 59727 Rs
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