Question 104

A man buys 3 cows and 8 goats in 47,200. Instead if he would have bought 8 cows and 3 goats, he had to pay 53,000 more. Cost of one cow is

Solution

Let cost of 1 cow = $$x$$ and cost of 1 goat = $$y$$

=> $$3x + 8y = 47200$$

and $$8x + 3y = 100200 $$

=> Adding the above two equations, we get : $$11x + 11y = 147400 $$

=> $$x + y = 13400$$ -------Eqn (1)

=> Subtracting those, we get : $$5x - 5y = 53000$$

=> $$x - y = 10600$$ --------Eqn (2)

Now, adding eqns (1) & (2), we get

=> $$2x = 24000$$

=> $$x = 12000$$

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