A man bought horse for rs.3000 three of them did hr sold the rest for rs.65 more than the cost gained 6% on his outlay find the number of horses
Answers
Answer:
15
Step-by-step explanation:
Given
A man bought horse for rs.3000 three of them did hr sold the rest for rs.65 more than the cost gained 6% on his outlay find the number of horses
ANSWER
Let number of horses be h and cost of each horse be x
So h x x = 3000.---------(1)
x = 3000 / h---------(2)
Now 3 horses died. The other horses are sold for Rs 65 more t han t he cost price.
So (h – 3)(x + 65) = 3000 x 106 / 100
H x - 3 x + 65 h – 195 = 3180
From (1) we get
3000 – 195 – 3180 + 65 h – 3 x = 0
65 h – 3 x = 375
From (2) we have
65 h – 3(3000 / h) = 375
65 h^2 – 375 h – 9000 = 0
13 h^2 – 75 h – 1800 = 0
We know that
h = - b ± √b^2 – 4 ac / 2 a
h = - (- 75) ± √- 75^2 – 4(13)(- 1800) / 2(13)
= 75 ± √ 99225 / 26
= 75 + 315 / 26
= 390 / 26
= 15
So he bought 15 horses