Question

Rani purchased 5 cows and 2 horses for Rs. 66000. When she sells the cows at 15% profit and the horses at
10% profit, she earns a total profit of Rs. 9100. What is the difference between the cost price of one cow and that of one horse?

Answer 1

Step-by-step explanation:

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Answer 2

Answer:

2000

Step-by-step explanation:

According to the question,

Given,

Rani purchased 5 cows and 2 horses for Rs. 66000.

Rani sells the cows at 15% profit and the horses at

10% profit.

The total profit of Rs. 9100.

Let the value of cow = x

The value of horse = y

Now,

$5x + 2y = 66000 ~~~~~~~~~~~~~~~~...(1)\\\\5x\frac{15}{100} + 2y\frac{10}{100} = 9100\\\\=\frac{3x}{4} + \frac{y}{5} = 9100\\\\= 15x+4y = 182000 ~~~~~~~~~~...(2)$

From both 1st and 2nd equations we get

$x = \frac{66000-2y}{5}$ put in equation 2nd

then,

$= 15x+4y = 182000 \\\\= 15(\frac{66000-2y}{5})+4y = 182000\\ \\= 3(66000-2y)+4y = 182000\\\\ = 198000-6y+4y = 182000\\\\= 2y = 198000-182000\\\\= 2y = 16000\\= y = 8000$

put y = 8000 in equation 1st

$5x + 2y = 66000\\\\5x + 2(8000) = 66000\\\\5x = 50000\\\\x = 10000$

and

$x-y = 10000-8000\\\\=2000$

Hence, the difference between the cost price of one cow and that of one horse is 2000.