Question

The price of sugar has risen by 20% . By how much per cent must a housewife reduce her consumption of sugar, So as not to increase her expenditure on it?​

When you give answer 16-2/3
So I make you brainleist

Answer 1

Answer:

Answer: The required percentage would be 16.67%.

Step-by-step explanation:

Since we have given that

Price of sugar goes up by = 20%

We need to find the percent that a housewife reduce her consumption so that the expenditure does not increase.

Let R = 20%

So, percent that a housewife reduce her consumption so that the expenditure does not increase is given by

\begin{gathered}\dfrac{R}{100+R}\times 100\\\\=\dfrac{20}{100+20}\times 100\\\\=\dfrac{20}{120}\times 100\\\\=\dfrac{2000}{120}\\\\=16.67\%\end{gathered}

100+R

R

×100

=

100+20

20

×100

=

120

20

×100

=

120

2000

=16.67%

Hence, the required percentage would be 16.67%.