Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Numerical Ability

Topic

Time and Work

Question:

Three persons undertake to complete a piece of work of Rs. 4800. The first person can complete the work in 16 days, second person in 24 days and third person in 32 days. They complete the work with help of a fourth person in 6 days. What does the fourth person get ( in Rs. )?

Options:

1800

900

1100

1200

Correct Answer:

900

Explanation:

Efficiency of IVth person = 16R - (6+4+3)R

= 3R

They will be paid in their efficiency ratio

 Ist     :     IInd     :     IIIrd     :     IVth

   6     :     4         :     3          :     3

 16R   → 4800    ( given )

 1R =\(\frac{4800}{16}\)

IVth person get 3R =  \(\frac{4800}{16}\) × 3

                                   = 900 Rs.