Question

The price of sugar goes up by 20%.By how much percent must a housewife reduce her consumption sugar so that the expenditure on sugar remains the same?

Answer 1

let that price of sugar = x
she (housewife) consumes = y (in kg)
total expenditure = xy
Now
price goes up by 20%
so new price is
1.2x
and to remain the expenditure same
let she consumes z (in kg)
now 1.2x * z = 1.2xz
but as expenditure is same
1.2xz = xy
z/y = x/1.2x
z/y = 5/6
so z = 5y/6 times

thus new consumption is 5y/6 and old is y so
so she reduces consumption by
y - 5y/6 = 6y-5y/6 = y/6
so she should reduce her consumption by 1/6 or 0.17%




i hope it helped u
inform me in comment and encourage me

Answer 2

Answer:

reduction% in consumption = $16 \frac{2}{3} \%$

Step-by-step explanation:

Let the consumption of sugar originally be 1 unit and let its cost be Rs 100.

New cost of 1 unit = Rs 120

Now Rs 120 yield 1 unit of sugar

∴ Rs 100 will yield $( \frac{1}{120} \times 100)$ unit = $\frac{5}{6}$ unit of sugar.

Reduction in consumption = $(1 - \frac{5}{6}) = \frac{1}{6}$ unit

∴ reduction% in consumption =$( \frac{1}{6} \times \frac{1}{1} \times 100)\% = \frac{50}{3} \% = 16 \frac{2}{3} \%$