The number of oranges in three basket are in the ratio 3 : 4 : 5. In which…
2026
The number of oranges in three basket are in the ratio 3 : 4 : 5. In which ratio the no. of oranges in first two basket must be increased so that the new ratio becomes 5 : 4 : 3 ?
- A.
3 : 4
- B.
2 : 3
- C.
1 : 3
- D.
2 : 1
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Correct answer: D
Solution: Find the required ratio of increases in the first two baskets.
Let the initial numbers be 3x, 4x, 5x and the new numbers be 5y, 4y, 3y.
Since only the first two baskets are increased, the third basket stays the same: 5x = 3y. Hence x = 3y/5.
First basket: initial = 3x = 3*(3y/5) = 9y/5, final = 5y. Increase = 5y − 9y/5 = 16y/5.
Second basket: initial = 4x = 4*(3y/5) = 12y/5, final = 4y. Increase = 4y − 12y/5 = 8y/5.
Ratio of increases = (16y/5) : (8y/5) = 16 : 8 = 2 : 1.
Therefore, the required ratio of increase in the first two baskets is 2 : 1.