A man buys oranges at the rate of 6 for $2 and sells the whole lot at the rate of 7 for $3. In this process he gains $20. How many oranges did he purchase?
Answer
Selling price of 6 oranges = 3 x 6/7 = 18/7
gain on selling 6 oranges = (18/7) - 2 = 4/7
So, gain on selling 1 orange = (4/7)/6 = 4/42 = 2/21
Total gain = $20
so, no. of oranges purchased = 20/ (2/21) = 20 x 21/2 =210.
Answer
Selling price of 6 oranges = 3 x 6/7 = 18/7
gain on selling 6 oranges = (18/7) - 2 = 4/7
So, gain on selling 1 orange = (4/7)/6 = 4/42 = 2/21
Total gain = $20
so, no. of oranges purchased = 20/ (2/21) = 20 x 21/2 =210.
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