Assume that 20 cows and 40 goats can be kept for 10days for Rs.460. If

1.	Assume that 20 cows and 40 goats can be kept for 10days for Rs.460. If the cost of keeping 5 goats is thesame as the cost of keeping 1 cow, what will be thecost for keeping 50 cows and 30 goats for 12 days?A. Rs.1104B. Rs.1000C. Rs. 934D. Rs. 1210
Answer» Answer: $\boxed{\sf Cost\; of\; keeping\; 50\; <klux>COWS</klux> \;and \;30 \;goats\; for\; 12 \;days\; is\; <klux>RS</klux>.1104}$ Step-by-step explanation: Let us assume that cost of keeping a cow for 1 day is Rs x and the cost of keeping a goat for one be y ∵ It is given that cost of keeping 20 cows and 40 goats can be kept for 10 days for Rs.460. The cost of keeping 20 cows and 40 goats for one day = Rs 460/10 = Rs 46. ∴ From the QUESTION, 20x + 40 y = 46 Diving throughout by 2, $\implies$ 10x + 20y = 23 $\longrightarrow$ (1) It is also given in the question that cost of keeping a cow is the same as keeping 5 goats. i.e, 5y = x On substituting this relation in(1), 10x+4x = 23 $\implies$ 14x = 23 So, x = 23/14 ∴ The cost of keeping 50 cows and 30 goats for 1 day will be Cost = 50x + 30y On substituting , 5y = x Cost = 50x + 6x Cost = 56 x On substituting , x = 23/14 Cost = 56× $\dfrac{23}{14}$ Cost = 4× 23 = Rs 92 ∵ The cost of keeping 50 cows and 30 goats for 1 day is Rs 92. The cost of keeping 50 cows and 30 goats for 12 days = 12 ×92 = $\underline{\underline{{\bold Rs 1104}}}$

Assume that 20 cows and 40 goats can be kept for 10days for Rs.460. If the cost of keeping 5 goats is thesame as the cost of keeping 1 cow, what will be thecost for keeping 50 cows and 30 goats for 12 days?A. Rs.1104B. Rs.1000C. Rs. 934D. Rs. 1210

Answer»

Answer:

$\boxed{\sf Cost\; of\; keeping\; 50\; <klux>COWS</klux> \;and \;30 \;goats\; for\; 12 \;days\; is\; <klux>RS</klux>.1104}$

Step-by-step explanation:

Let us assume that cost of keeping a cow for 1 day is Rs x

and the cost of keeping a goat for one be y

∵ It is given that cost of keeping 20 cows and 40 goats can be kept for 10 days for Rs.460.

The cost of keeping 20 cows and 40 goats for one day = Rs 460/10 = Rs 46.

∴ From the QUESTION,

20x + 40 y = 46

Diving throughout by 2,

$\implies$ 10x + 20y = 23 $\longrightarrow$ (1)

It is also given in the question that cost of keeping a cow is the same as keeping 5 goats.

i.e, 5y = x

On substituting this relation in(1),

10x+4x = 23

$\implies$ 14x = 23

So, x = 23/14

∴ The cost of keeping 50 cows and 30 goats for 1 day will be

Cost = 50x + 30y

On substituting , 5y = x

Cost = 50x + 6x

Cost = 56 x

On substituting , x = 23/14

Cost = 56× $\dfrac{23}{14}$

Cost = 4× 23 = Rs 92

∵ The cost of keeping 50 cows and 30 goats for 1 day is Rs 92.

The cost of keeping 50 cows and 30 goats for 12 days = 12 ×92 = $\underline{\underline{{\bold Rs 1104}}}$