Question

Rs. 300 is distributed among Ali, Bilal and Danish in such a way that if Ali gets Rs. 2, Bilal gets Rs. 3 and if Ali gets Rs. 3, Danish gets Rs. 5. What is share of Danish?

Answer 1

Answer:

Danish' share is Rs. 120.

Step-by-step explanation:

Share of Bilal if Ali's share is Rs.2: Rs.3

Ratio of Bilal's share to Ali's share: 3:2

Share of Danish if Ali's share is Rs. 3: Rs.5

Ratio of Ali's share to Danish' share: 3:5

Ratio of Bilal's share to Ali's share to Danish' share:

3:2 and 3:5

{LCM of 2 and 3: 6}

→3:2×3/3 and 3:5×2/2

→9:6 and 6:10

→9:6:10

Let Ali's, Bilal's and Danish' share be 9x, 6x and 10x respectively.

Total Sum of Amount: Rs. 300

→9x + 6x + 10x = 300

→25x = 300

{Transposing 25 to RHS...}

→x = 300/25

→x = 12

Bilal's share: 9x → 9×12 → Rs. 108

Ali's share: 6x → 6×12 → Rs. 72

Danish'share: 10x → 10×12 → Rs. 120

Hence, Danish' share is Rs. 120.

Hope it helped you...

Kindly Mark as Brainiest...