Question

if the price of sugar increases by 20% and Vaibhav intends to spend only an additional 10% on Sugar then by how much percent will he reduce the quantity of sugar purchased​

Answer 1

Step-by-step explanation:

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

100+R

R

×100

=

100+20

20

×100

=

120

20

×100

=

120

2000

=16.67%

Hence, the required percentage would be 16.67%.

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