Question

A man buys 5 horses and 7 oxen for rs. 5850. he sells the horses at a profit of 10% and oxen at a profit of 16% and s whole gain is rs. 711. what price does he pay for a horse and a ox

Answer 1

Let price of horse = h

Let price of ox = o

So,

5h + 7o = 5850....(1)

Now, he sells them with profits of 10% and 16% resp, so the total profit can be written as

0.10 (5h) + 0.16 (7o) = 711

0.5h + 1.12o = 711

5h + 11.2o = 7110.....(2)

Solving (1) and (2) we get

11.2o - 7o = 7110 - 5850

4.2o = 1260

o = 300

So, 5h + 7(300) = 5850

5h = 5850 - 2100

h = 3750/5 = 750

Therefore, horse and ox costs 750 and 300 resp.