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:
Answer & explanation
Correct answer: option 1
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.