Question

The price of sugar goes up by 10%. By how much per cent must a

housewife reduce her consumption of sugar so that the expenditure

on sugar remains same?
please do not consider numerical mass or cost.​

Answer 1

Answer:

9% (approx)

Step-by-step explanation:

Let Consumption be 10 kg per month

Let price of sugar be 100 rupees

Expenditure before increase in price = 100*10 = 1000

Cost of sugar per kg after increase = $\frac{110}{100}$*100=110

Expenditure after increase in price = 110*10=1100

Sugar to be used by house wife so that the expenditure remains same =

$\frac{1000}{110}$ = 9.09 kg

Reduction in sugar = 10-9.09 = 0.89 kg

Percentage of sugar reduction = $\frac{0.89}{10}$*100 = 8.9%

9% (approx)