First, we are given the amount invested per each individuals. This information allows us to calculate their ratio :

$63,000 : $56,000 : $84,000 -> 7*9 : 7*8 : 7*12 -> S:M:R = 9:8:12

Second, we know that Reena's share of profit is : $54,000 (Which is pretty good in one year, well done guys !!).

Third, we are asked the Total Profit Earned :

(Reena's ratio * Total profit) / Total sum of ratios = $54,000

(12*Total Profit) / 29 = $54,000

Total Profit = $130,500.

Answer : A.

I hope it helps.

S:M:R = 63:56:84

Reena's profit = 84x/(63+56+84) = 54000

84x/203 = 54000
x = 54000*203/84

x = 130500

This is such a brutal question for time management because you need to manually perform long form multiplication xx*xx and long form division xx/x,xxx,xxx to get the answer.
If you miss simplifying the ratios to 9:8:12, you end up with an ugly fraction for Reena's share of profit (84/203). After 3 min I just had to guess.

This has such simple fundamentals, and it's easy with a calculator but brutal for me to get correct by hand <2min for a 600 difficulty question