Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Numerical Ability

Topic

Time and Work

Question:

A and B together are supposed to do $\frac{13}{15}$ of the work and B and C together $\frac{11}{20}$ of the work. If the difference of wages of A and C is ₹7600, then the total wages of A and C is:

Options:

₹14000

₹18000

₹36000

₹56000

Correct Answer:

₹14000

Explanation:

A - C = Rs. 7600,

Formula to be used here,

\(\frac{Work done}{Total work}\) = Total wages.

Calculation,

Let work be 60,

⇒ Work done by A + B = \(\frac{13}{15}\) x 60 = 52 units,

⇒ Work done by C = 60 - 52 = 8 units,

⇒ Work done by B+C = \(\frac{11}{20}\) x 60 = 33 units,

⇒ Work done by A = 60 - 33  = 27 units,

⇒ Work done by B = 60 - 27 - 8 = 25 units,

According to the question,

⇒ 27 - 8 = 19 units = 7600,

⇒ 1 unit = Rs. 400,

Total wages of A + C = (21 + 8) = 35 x 400 = Rs. 14000.