Question

due to decrease in price per kg sugar by 25% by how much percent a housewife should increase quantity so that total expenditure remains same​

Answer 1

Answer:

She increased the total quantity by 33.33%

Step-by-step explanation:

Let the price of sugar per KG be X

Let the quantity (KG) woman buys previously be Y

So, the expenditure at that moment be XY

The price is decreased by 25%

So currently the price is X - X/4 = 3X/4

If she wants the expenditure to be the same

XY = (3/4)X × (*)Y

* will be the reciprocal of 3/4 which is 4/3

XY = (3/4)X × (4/3)Y

So the change in quantity is

(4/3)Y - Y =Y/3

The quantity is changed by 1/3

To get the % multiply by 100

1 × 100 / 3 = 33.33%

She increased the total quantity by 33.33%