# A man bought 270 oranges for Rs 25.00. Some of them at the rate of 10 a rupee and the rest at the rate of 12 a rupee. Find the no. of each kind?

2
by prabhjotsuri

2014-08-27T17:24:53+05:30

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Let us say, the man bought N oranges at the rate of 10 a Rupee, that is, each at Rs 1/10.

He bought the remaining (270 - N) at the rate of 12 a Rupee, that is each at Rs 1/12.

Total cost of of oranges =

2014-08-27T18:46:55+05:30
Let the no. of orange of cost Rs 1/10 = x
no. of oranges of cost Rs 1/12 = y

so, x + y = 270 ........(1)
Cost of x oranges = Rs x/10
cost of y oranges = Rs y/12

total cost = Rs 25

x/10 + y/12 = 25  ...(2)

Multiply (2) by 12

12x/10 + y = 300

1.2x + y = 300
x + y = 270     (subtract)
---------------------------
0.2x = 30

x = 150

y = 270 - 150 = 120