Question

A part of monthly expenses of a family is constant and remaining varies with the price of rice. When the cost of rice is Rs.250 per quintal, the monthly expenditure of the family is Rs.1000 and when the cost of rice is Rs.240 per quintal the monthly expenditure is Rs.980. Find the monthly expenditure of the family when the cost of rice is Rs.300 per quintal.

Answer 1

Here is your answer ⤵⤵⤵

Let the constant expenditure be ₹.x

Let the consumption of rice by the family be y quintals.

x+250y=1000------------------(1)

x+240y=980-------------------(2)

Subtracting eq (1)and(2)

x + 250y =1000

x + 240y = 980

(-)  (-)      (-)

---------------------------

10y = 20

y= 20/10

y= 2………….(3)

Put the value of y in eq 1

x+250y=1000

x + 250(2) = 1000

x+ 500 = 1000

x= 1000-500

x=500………….(4)

Total  monthly expenditure when the cost of rice ₹300 = constant expenditure +  consumption of rice at ₹ 300 per quintal.

= x+300y

= 500 + 300 × 2

( From eq 3 & 4)

= 500+ 600

= ₹ 1100

Hence, the Total  monthly expenditure when the cost of rice ₹300 is ₹ 1100

HOPE IT HELPS YOU ☺☺ !!!