Question

A man buys 5 horses and 7 bulls for rs 1950

Answer 1

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Answer 2

Disclaimer:

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 the whole gain is Rs. 711. What price does he pay for a horse and an ox?

Concept:

The percentage of any number x can be calculated as,

C = x ×(P/100)

Where P is the percentage and C is the P percent of x.

Given:

The cost of 5 horses and 7 oxen is Rs 5850, and the horses and oxen are sold at a profit of 10% and 16% respectively and the whole gain is Rs. 711.

Find:

The buying cost of a horse and an ox.

Solution:

Let, the buying price of the horse be x and the buying price of the ox be y. So,

5x + 7y = 5850

Now, he sells them the horse and ox with profits of 10% and 16% respectively. So, the total profit will be

0.10 (5x) + 0.16 (7y) = 711

0.5x + 1.12y= 711

5x+ 11.2y= 7110

By solving the equations, 5x + 7y = 5850 and 5x+ 11.2y= 7110, by subtracting,

5x+ 11.2y - 5x - 7y= 7110 - 5850

4.2 y = 1260

y = 300

As y = 300, substituting the value of y in  5x + 7y = 5850,

5x + 7y = 5850

5x + 7(300) = 5850

5x = 5850 - 2100

x = 3750

x = 3750/5 = 750

Hence, the buying price of the Horse is Rs 750 and the ox is Rs 300.

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