Pranab is thrice as efficient as Ghulam, and Ghulam is twice as efficient as K

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Pranab is thrice as efficient as Ghulam, and Ghulam is twice as efficient as Krishna. If the trio work together, how long will they take to complete a job which Ghulam completes in 25 days.

Options:

A .

\frac{50}{9}

B .

\frac{25}{9}

C .

\frac{49}{9}

D .

\frac{24}{9}

Answer: Option A
:
A

Let total work be 100 units.

Ghulam’s one day work = $\frac{100}{25}$ = 4 units.

Pranab’s one day work = 12 units.

Krishna’s one day work = 2 units.

Combined work of the trio = 4 + 12 + 2 = 18 units.

Hence, They will take $\frac{100}{18} = \frac{50}{9}$ days. Option(a).

2nd method:- In place of unit, we can take in percentage form also.In one day, $G = 4 %, P = 12 %, K = 2 %$

Total in one day= $18 %$ , Then $100 %$ in $\frac{100}{8}$ days i.e $\frac{50}{9}$ days. Option(a).

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