Suresh, Dinesh and Ramesh became partners in a business by investing money in the ratio 3 : 6 : 8. If their investments are increased by 5%, 15% and 20% respectively, then what will be the ratio of their profits in one year?

Correct option is C

Given:

Investment ratio = 3 : 6 : 8

Increased by = 5%, 15%, and 20% respectively

Formula Used:

Profit ratio = Final investment ratio after increase New investment = Old investment × (1 + % increase / 100)
Solution:
· Suresh: 3 × (1 + 5/100) = 3 × 105/100 = 315
· Dinesh: 6 × (1 + 15/100) = 6 × 115/100 = 690
· Ramesh: 8 × (1 + 20/100) = 8 × 120/100 = 960
Now simplify the ratio: 315 : 690 : 960

Divide all by 15:

315 ÷ 15 = 21

690 ÷ 15 = 46

960 ÷ 15 = 64

So, final profit ratio = 21 : 46 : 64

Final Answer: (c) 21 : 46 : 64