Assume That 20 Cows And 40 Goats Can Be Kept For 10 Days For Rs.460.

1.	Assume That 20 Cows And 40 Goats Can Be Kept For 10 Days For Rs.460. If The Cost Of Keeping 5 Goats Is The Same As The Cost Of Keeping 1 Cow, What Will Be The Cost For Keeping 50 Cows And 30 Goats For 12 Days ?
Answer» Assume that cost of keeping a cow for 1 day = c , cost of keeping a goat for 1 day = g Cost of keeping 20 cows and 40 goats for 10 days = 460 Cost of keeping 20 cows and 40 goats for 1 day = 460/10 = 46 =&GT; 20c + 40g = 46 => 10c + 20g = 23 ---(1) Given that 5g = c Hence equation (1) can be written as 10c + 4c = 23 => 14c =23 => c=23/14 cost of keeping 50 cows and 30 goats for 1 day = 50c + 30G = 50c + 6c (substituted 5g = c) = 56 c = 56×23/14 = 92 Cost of keeping 50 cows and 30 goats for 12 days = 12×92 = 1104 Assume that cost of keeping a cow for 1 day = c , cost of keeping a goat for 1 day = g Cost of keeping 20 cows and 40 goats for 10 days = 460 Cost of keeping 20 cows and 40 goats for 1 day = 460/10 = 46 => 20c + 40g = 46 => 10c + 20g = 23 ---(1) Given that 5g = c Hence equation (1) can be written as 10c + 4c = 23 => 14c =23 => c=23/14 cost of keeping 50 cows and 30 goats for 1 day = 50c + 30g = 50c + 6c (substituted 5g = c) = 56 c = 56×23/14 = 92 Cost of keeping 50 cows and 30 goats for 12 days = 12×92 = 1104

Assume That 20 Cows And 40 Goats Can Be Kept For 10 Days For Rs.460. If The Cost Of Keeping 5 Goats Is The Same As The Cost Of Keeping 1 Cow, What Will Be The Cost For Keeping 50 Cows And 30 Goats For 12 Days ?

Answer»

Assume that cost of keeping a cow for 1 day = c ,

cost of keeping a goat for 1 day = g

Cost of keeping 20 cows and 40 goats for 10 days = 460

Cost of keeping 20 cows and 40 goats for 1 day = 460/10 = 46

=&GT; 20c + 40g = 46

=> 10c + 20g = 23 ---(1)

Given that 5g = c

Hence equation (1) can be written as 10c + 4c = 23 => 14c =23

=> c=23/14

cost of keeping 50 cows and 30 goats for 1 day

= 50c + 30G

= 50c + 6c (substituted 5g = c)

= 56 c = 56×23/14

= 92

Cost of keeping 50 cows and 30 goats for 12 days = 12×92 = 1104