excise duty on manufacturing goods is inversely proportional to the square of their production. a company pays some tax on manufacturing goods according to above condition. But the company divide production in the ratio of 4:3:1 and has to pay 6670 more tax. Find actual tax paid by the company?
Answers
tax paid by company original excise duty = rs 90 , final excise duty = 6760 rs
Step-by-step explanation:
let say production = 8p
excise duty = k/(8p)^2
= k/64p^2
company divide production in the ratio of 4:3:1
4p, 3p , p
excise duty = k/(4p)^2+k/(3p)^2+k/(p)^2
= (k/p^2)(1/16 + 1/9 + 1)
= (k/p^2)(169/144)
(k/p^2)(169/144) = (k/p^2)(1/64) + 6670
(k/p^2)(169/144 - 1/64) = 6670
(k/p^2)(667/576) = 6670
(k/p^2) = 5760
original excise duty = k/64p^2 = 5760/64 = 90 rs
final excise duty = (k/p^2)(169/144)
= 6760 rs
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Answer:
Step-by-step explanation:
(1/4² + 1/3² +1/1²) - 1/8² = 6670
169/144 - 1/64 = 6670
(667/576) =6670
1/64 = ? 6670*(576/667)*1/64 =90