If the duty on an article is reduced by 40% of its present rate, by how much percent must the consumption increase in order that the revenue remains unaltered ?

\frac{182}{3} %

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\frac{194}{3} %

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\frac{200}{3} %

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Solution

The correct option is D $\frac{200}{3} %$
Let initial rate was $100$
Now, $40 %$ decrement in duty,
rate $=$ $100 - 40 = 60$
To make their revenue $100$ , consumption must be increase of $40$ .
So, $%$ increment $=$ $\frac{(40 \times 100)}{60} = \frac{200}{3} %$

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If the duty on an article is reduced by 40% of its present rate, by how much percent must the consumption increase in order that the revenue remains unaltered ?

The correct option is D 2003%Let initial rate was 100Now, 40% decrement in duty,rate = 100−40=60To make their revenue 100, consumption must be increase of 40.So, % increment = (40×100)60=2003%

The correct option is D $\frac{200}{3} %$
Let initial rate was $100$
Now, $40 %$ decrement in duty,
rate $=$ $100 - 40 = 60$
To make their revenue $100$ , consumption must be increase of $40$ .
So, $%$ increment $=$ $\frac{(40 \times 100)}{60} = \frac{200}{3} %$