Question

360 toffees are distributed among Pushkal, Quadir and Rustam in the ratio 2: 3: 4. After distribution, Quadir gives 20% of his toffees to Pushkal and Rustam gives 25% of his toffees to Pushkal. What is the new ratio of toffees with Pushkal, Quadir and Rustam?

• A. 5: 4:6
• B. 7:3:5
• C. 6:4:5
• D. 3:5:7

Answer 1

Answer:

C. 6:4:5

Total ratio = 2 : 3 : 4 → Sum = 9

Each part = 360 ÷ 9 = 40

Initial toffees:
Pushkal = 2 × 40 = 80
Quadir = 3 × 40 = 120
Rustam = 4 × 40 = 160

Now transfers:
Quadir gives 20% of 120 = 24
Rustam gives 25% of 160 = 40

New amounts:
Pushkal = 80 + 24 + 40 = 144
Quadir = 120 − 24 = 96
Rustam = 160 − 40 = 120

New ratio = 144 : 96 : 120

Divide by 24:
= 6 : 4 : 5

Answer: 6 : 4 : 5