Question 72
Anisha shared 60% of her chocolate bars in the ratio 5:7 between her two cousins and kept the remaining bars for herself. Had she distributed the entire collection in the ratio 1:1:1 among her cousins and herself, she would have received 160 grams less chocolate. What was the total weight of the chocolate bars?
Solution
Let the total weight of her chocolate bar is 120X.
She distributed 60% of it among her cousins I.e. 60% of 120X = 72X
So, she received 120X - 72X = 48X
Now, if she distributed in equal ratio, then each one would have received 40X and Anisha would have received 150 grams less chocolate.
Or, 48X - 40X = 8X
8X = 160 grams
X = 20 grams
Hence, total weight = 120*20 = 2.4 Kg
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