Question

A part of monthly expenses of a family is constant and the remaining part varies with the price of wheat. When the rate of wheat is Rs 250 a quintal, the total monthly expenses of the family are Rs 1000 and when it is Rs 240 a quintal, the total monthly expenses are Rs 980. Find the total monthly expenses of the family, when the cost of wheat is Rs 350 a quintal.

Answer 1

Let the constant part be Rs c and quantity of wheat consumed per month be q quintals. Then,

c+ 250q = 1000 .................(i)

c+ 240q = 980 ...................(ii)

q = 2

Putting q = 2 in equation (1), we get

c+250 x 2 = 1000 \(\Rightarrow\) c + 500 = 1000   \(\Rightarrow\) c = 500

\(\therefore\) Total monthly by expenses of the family when the rate of wheat is Rs 350 a quintal

= 500 + 350 x 2 = 500 + 700 = Rs 1200