Question

solveQ.5..............

Answer 1

Let the original price be x

Find the new price:

20% increase in price = 0.2x

New Price = x + 0.2x = 1.2x

Find the new consumption:

Before the price increase = x

After the price increased = (old price/ new price) x 100

After the price increased = ( x / 1.2x ) x 100 = 83.3%

Find the decreased in consumption:

Decreased in consumption = 100 - 83.3% = 16.7%

Answer: He will need to reduced his consumption by 16.7%

Answer 2

Let the Quantity of Vegetables Varun Always Purchases be : Q

Let the Price of 'Q' Quantity of Vegetables be : V

Given that the Price of Vegetables increases by 20%

⇒ The New Price of Vegetables is : V + 20% × V

⇒ The New Price of Vegetables is : V + 20V/100 = V + V/5 = 6V/5

⇒ Now 'Q' Quantity Vegetables Price is 6V/5

But Given that Varun's Expenditure Remains the Same (i.e) - 'V' Rupees

We need to find For Rupees 'V' How much Quantity of Vegetables does Varun get with respect to the Increased Price

⇒ Quantity of Vegetables Varun gets with respect to Increased Price is : (V × Q) × 5/6V = 5Q/6

⇒ The Decrease in the Quantity of Vegetables Varun in gets Because of the Increased price is Q - 5Q/6 = Q/6

So Varun should reduce his Consumption by Q/6 so that his Expenditure on Vegetables remains the same.

⇒ The % by which Varun should reduce his consumption is :

⇒ (Q/6Q) × 100 =  100/6 = 16.67%