Jagan was to either get one-seventh of a milk chocolate or one-fourteenth of a…
2025
Jagan was to either get one-seventh of a milk chocolate or one-fourteenth of a bigger fruit chocolate. Which chocolate would give him the large piece if the fruit chocolate is three times as large as the milk chocolate?
Answer: A. Fruit chocolate — Solution: Let the size of the milk chocolate be x. Then the fruit chocolate is 3x. Jagan's share from the milk chocolate = x/7 = (2/14)x. Jagan's share from…
- A.
Fruit chocolate
- B.
Milk chocolate
- C.
The Pieces will be of the same size
- D.
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Correct answer: A
Solution:
Let the size of the milk chocolate be x. Then the fruit chocolate is 3x.
Jagan's share from the milk chocolate = x/7 = (2/14)x.
Jagan's share from the fruit chocolate = (3x)/14 = (3/14)x.
Compare the two shares: (3/14)x versus (2/14)x. Since 3/14 > 2/14, the fruit-chocolate piece is larger.
Therefore, choosing the fruit chocolate gives Jagan the larger piece.
Quick numeric check: if the milk chocolate is 14 units, the milk piece is 2 units (14/7) and the fruit chocolate is 42 units (3×14) so the fruit piece is 3 units (42/14), which is larger than 2 units.