A man spent a sum of Rs. 32 in buying some oranges and bananas at the rate of Rs. 24 and Rs. 12 per dozens respectively.Had he bought half the oranges and twice as many bananas it would have coasted 2 rupees more.Find the number of oranges and bananas he bought.
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CP OF 12 ORANGES=24
I.E. CP OF 1 ORANGE=2
ALSO CP OF 12 BANANAS=12
I.E. CP OF 1 BANANA=1
LET NO. OF ORANGES=a
AND NO. OF BANANAS=b
I.E. 2a+1b=32
I.E. b=32-2a.....................1
ALSO 2a/2+2b=34
I.E. a+2b=34
I.E. a+2(32-2a)=34
I.E. a=10
PUT IN 1, WE GET
b=12
I.E. NO. OF ORANGES=10 AND BANANAS=12
I.E. CP OF 1 ORANGE=2
ALSO CP OF 12 BANANAS=12
I.E. CP OF 1 BANANA=1
LET NO. OF ORANGES=a
AND NO. OF BANANAS=b
I.E. 2a+1b=32
I.E. b=32-2a.....................1
ALSO 2a/2+2b=34
I.E. a+2b=34
I.E. a+2(32-2a)=34
I.E. a=10
PUT IN 1, WE GET
b=12
I.E. NO. OF ORANGES=10 AND BANANAS=12
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