Question

the price of a commodity increase by 20%, by what percent should the consumption be decreased so that the expenditure gets increased by 8 %?​

Answer 1

Answer:

answer is 16percent consumption should be decreased

Answer 2

Answer: The consumption is reduced by 10%.

Step-by-step explanation:

Let r be the rate of price increased by 20%

So, R = 20%

Let the R be the rate of price increased by 8%.

r = 8%

We need to find the percentage that the consumption should be decreased.

As we know the relation i.e.

$\dfrac{r-R}{100+R}\times 100\\\\=\dfrac{8-20}{100+20}\times 100\\\\=\dfrac{-12}{120}\times 100\\\\=-10\%$

Hence, the consumption is reduced by 10%.