Correct Answer - Option 2 : 8 rupees
Given:
Prize of sugar increased 20%
Consumption decreased 6 kg
Total expenditure = 240
Formula used:
Price × Consumption = Expenditure
Concept:
Price and consumptions are inversely proportional
Calculation:
Let the old price of sugar be x
Let the old consumption of sugar be y kg
Prize of sugar increase 20%, then new price = 120%x
Consumption decreased by 6 kg, then new consumption = (y - 6) kg
Old Price × Old consumption = Expenditure
⇒ x × y = 240 ---(1)
New Price × New consumption = Expenditure
⇒ (120%)x (y – 6) = 240
⇒ 120/100x (Y – 6) = 240
⇒ x × y – 6x = 200
Put the value of x × y from equation (1)
⇒ 240 - 6x = 200
⇒ 40 = 6x
⇒ 40/6 = x
Old price = 40/6
New price = (120%) × 40/6
⇒ 8 rupees
∴ Now the price of sugar for 1 kg is 8rupees.
