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A man purchased a certain number of oranges at the rate of 2 for Rs.5 and sold them at the rate of 3 for Rs.8. In the process, he gained Rs.20. Find the number of oranges he bought.

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The Brainliest Answer!

Let the man purchase 6k oranges.

==> CP of 6k oranges = Cost of one orange x No. of oranges bought

= (5/2)x6k = Rs.15k

SP of 6k oranges = SP of one orange x no. of oranges sold

= (8/3) x 6k = 16k.

Therefore Profit = SP - CP = 16k -15k = 1k = Rs.20 (given)

==> k = 20.

Hence man purchased oranges = 6k = 6x20 = 120

==> CP of 6k oranges = Cost of one orange x No. of oranges bought

= (5/2)x6k = Rs.15k

SP of 6k oranges = SP of one orange x no. of oranges sold

= (8/3) x 6k = 16k.

Therefore Profit = SP - CP = 16k -15k = 1k = Rs.20 (given)

==> k = 20.

Hence man purchased oranges = 6k = 6x20 = 120