Question

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.

• A.
• B.
• C.
• D.

Answer 1

The correct option is 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).