Correct Answer - Option 4 : 81 ∶ 125 ∶ 46
Given:
The ratio of savings of Jamaal, Joseph and Harry = 3 ∶ 5 ∶ 2
Increment of Jamaal = 35%
Increment of Joseph = 25%
Increment of Harry = 15%
Concept used:
Saving after increment = Saving + Percentage increment of saving
Calculation:
Let savings of Jamaal, Joseph and Harry are 3X, 5X and 2X.
Since, increments in saving are 35%, 25% and 15%.
Therefore,
Saving of Jamaal after increment = Saving + 35% of saving
= 3X + 35% of 3X
= 3X + (35 × 3X) / 100
= 3X + (21X/20)
= 81X/20
Saving of Joseph after increment = Saving + 25% of saving
= 5X + 25% of 5X
= 5X + (25 × 5X)/100
= 5X + (25X/20)
= 125X/20
Saving of Harry after increment = Saving + 15% of saving
= 2X + 15% of 2X
= 2X + (15 × 2X)/100
= 2X + 30X/100
= 46X/20
Ratio of savings after increment = (81X/20) ∶ (125X/20) ∶ (46X/20)
= 81 ∶ 125 ∶ 46
∴ Required ratio is 81 ∶ 125 ∶ 46