Example 5 A businessman purchased 50 animals in which there were cows and buffalos. The total cost price was 25,5000. If the cost price of each cow be * 2500 and that of each buffalo be * 7500, then find the number of cows and that of buffalos purchased by him.
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1 cow costs 1 rupee. 1 buffalo costs 5 rupees. 20 goats cost 1 rupee. With 100 rupees, I bought a total of 100 animals of all three types. How many of each animal did I buy?
x + y + z = 100
0.05x + y +5z = 100. …. x is no . of goats ..0.05 rupees can buy 1 goat.
If u solve the above you get (99/19)z = 100 - y
If u take y as 1 then the numerator gets cancelled on both sides.
Hence you get
X = 80
Y = 1
Z = 19 .
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