Question

The cost of 3 horses and 5 cows is $Rs.20,500$ and the cost of 2 horses and 3 cows is $Rs.13,400$. Find the cost of one horse and one cow. Also, find the total cost of 5 horses and 4 cows.

• A. Cost of one horse $=Rs.5,500$
  Cost of one cow $=Rs.800$
  Cost of 5 horses and 4 cows $=Rs.30,700$
• B. Cost of one horse $=Rs.6,000$
  Cost of one cow $=Rs.900$
  Cost of 5 horses and 4 cows $=Rs.33,600$
• C. Cost of one horse $=Rs.4,000$
  Cost of one cow $=Rs.500$
  Cost of 5 horses and 4 cows $=Rs.22,000$
• D. Cost of one horse $=Rs.3,000$
  Cost of one cow $=Rs.1,000$
  Cost of 5 horses and 4 cows $=Rs.19,000$

Answer 1

The correct option is A Cost of one horse $=Rs.5,500$

Cost of one cow $=Rs.800$
Cost of 5 horses and 4 cows $=Rs.30,700$
Let x rupees and y rupees be the cost of one horse and one cow respectively.
Therefore, according to the question,
$3x+5y=20500$ ...(i)
$2x+3y=13400$ ...(ii)
On multiplying (i) by 2 and (ii) by 3 and subtracting, we get
$6x+10y=41000$
$\underset{–}{\underset{-}{6}x\underset{-}{+}9y=\underset{-}{4}0200}$
$y=800$
On putting $y=800$ in (i), we get
$3x+4000=20500\Rightarrow x=5500$
$\therefore \text{cost of one horse=Rs. 5500}$ and
$\text{cost of one cow}=Rs.800$
Now,$\text{the cost of 5 horses and 4 cows}=5\times 5500+4\times 800=Rs.30700$