Math, asked by flyhigh4akkash, 11 months ago

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

Answered by amitnrw
7

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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Answered by mayureshg08
11

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

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