Question

The price of sugar is increased by 20%.
By how much kg. Of consumption is
decreased so as expenditure will in-
crease by 5% only. When he originally
consume 280 kg sugar

Answer 1

Step-by-step explanation:

Let the original price of the sugar be Rs100

And the consumption be 1kg

Then total expenditure will be Rs100×1=Rs100

Now, when price is increased by 20 %, then new price is Rs120

Then new expense will be Rs120×1=Rs120

For expense to be same to Rs100,

% decrease in sugar consumption = 120-100/120×100

50/3 =16.66=17% (approx)

280×17/100

47.6

280-47.6=232.4

Answer 2

Answer:

let x be the original price of sugar per kg therefore original expenditure was Rs 280x Now the price increased is 1.2x per kg of sugar and increased expenditure is 1.05*280x. let y kg sugar is consumed after price increased 1.2xy=1.05*280x y=1.05*280/1.2 hence y=245 Hence consumption decreased by 35 kg