Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Numerical Ability

Topic

Time and Work

Question:

A skilled, a half skilled and an unskilled labor work for 7, 8 and 10 days respectively and they together get Rs.369 for their work. If the ratio of their each day work is \(\frac{1}{3} : \frac{1}{4} : \frac{1}{6}\) , then how much does the trained labor get?

Options:

Rs. 164

Rs. 102.5

Rs. 201.5

Rs. 143.5

Correct Answer:

Rs. 143.5

Explanation:

                              Skilled    :    Half-skilled    :    Unskilled

Efficiency                     \(\frac{1}{3}\)    :              \(\frac{1}{4}\)          :           \(\frac{1}{6}\)  

Efficiency                      4        :        3             :          2  ... (i)

No.of days worked       7        :        8             :          10 .... (ii)

If we multiply (i) and (ii)

Work done                  28        :      24             :         20     = 72

Trained/skilled labor gets = \(\frac{369}{72}\) × 28 = 143.5