Question

+ 1.0
The price of rice increases by 30%, then by what % should its consumption be decreased so that the total expenditure remains same.
76.92%
23.07%
30%
25%​

Answer 1

$\huge\mathbb\purple{Solution}$

let x and y be the cost of the wheat and household consumption respectively.

expenditure= x*y.

new cost of wheat= 1.3x. Let new household consumption be a.

in order to not let the expenditure increase, x*y=1.3x*a

a=10y/13.

thus, consumption should decrease by = (3/13)*100%=23.07%

Answer 2

Let the price of rice at the first is Rs. 100

it will increase by 30%

Therefore, the current price of rice is

$100+100 \times \frac{30}{100}\\=100+30\\=130$

Now we need to reduce it to Rs. 100

therefore, the percentage of reduction is

$\frac{30}{130} \times 100\\=23.07\%$

Therefore, the correct answer is 23.07%.

To learn more about the increase and decrease rules from the given link

https://brainly.in/question/290884

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