Question

In a family consumption of rice and wheat is cost₹350 if the wheat is 20%of rice if price of wheat is increased by 20% , and price of rice remain same. find the quantity of rice to decrease to maintain by the same expenses.​

Answer 1

Let price of wheat be w and price of rice rice be r then according to question

r+w = 350___________1

And

w=20r/100 => 5w=r put in eq 1 we get

5w+w = 350 =>w=350/6 and hence r=350(5) /6

The increased value of wheat is 350/6+ 350(20) /100(6)

2100/30=70

Then from eq1 we get 70+value of each unit of rice (quantity) =350

70+350*5*q/6=350

By solving the above equation we get q=24/25 unit