A alone can finish a piece of work in 10 days which B alone can do in 15 days. If they work together and finish it, then out of total wages of t 3000. A will get

(a) Rs 1200

(b) Rs 1500

(c) Rs 1800

(d) Rs 2000

Open in App

Solution

Total wages =Rs 3000

A's 1 day's work $= \frac{1}{10}$

B's 1 day's work $= \frac{1}{15}$

$∴$ Ratio in thier work $= \frac{1}{10} : \frac{1}{15}$

$= \frac{3 : 2}{30} = 3 : 2$

$∴$ A's share $= R s . 3000 \times \frac{3}{3 + 2}$

$= R s . \frac{3000 \times 3}{5} = R s .1800$

Suggest Corrections

Similar questions

Q. Tick (✓) the correct answer:
A alone can finish a piece of work in 10 days which B alone can do in 15 days. If they work together and finish it, then out of total wages of Rs 3000, A will get
(a) Rs 1200
(b) Rs 1500
(c) Rs 1800
(d) Rs 2000

$A$ alone can finish a piece of work in $10$ days., which $B$ alone can do in $15$ days. If they work together and finish it, then out of total wages of $R s 3000$ . A will get

Q. A alone can finish a work in 10 days which B alone can finish in 15 days. If they work together and finish it, then out of total wages of Rs. 3000, A will get :

Q. A can finish a piece of work alone in 6 days, while B can finish the same in 12 days. They start working together and A quits after 2 days. Then B works alone for 3 days and after 3 days, A is called back and he finishes the remaining work alone. If they are paid Rs. 1008 for the work, find the amount that each one gets assuming that the amount is distributed in the ratio of the amount of work that they do.

X alone can do a piece of work in 15 days and Y alone can do it in 10 days. X and Y undertook to do it for Rs. 720. With the help of Z they finished it in 5 days. How much is paid to Z?

Join BYJU'S Learning Program

A alone can finish a piece of work in 10 days which B alone can do in 15 days. If they work together and finish it, then out of total wages of t 3000. A will get (a) Rs 1200 (b) Rs 1500 (c) Rs 1800 (d) Rs 2000

Total wages =Rs 3000 A's 1 day's work =110 B's 1 day's work =115 ∴ Ratio in thier work =110:115 =3:230=3:2 ∴ A's share =Rs.3000×33+2 =Rs.3000×35=Rs.1800

A alone can finish a piece of work in 10 days which B alone can do in 15 days. If they work together and finish it, then out of total wages of t 3000. A will get

(a) Rs 1200

(b) Rs 1500

(c) Rs 1800

(d) Rs 2000

Total wages =Rs 3000

A's 1 day's work $= \frac{1}{10}$

B's 1 day's work $= \frac{1}{15}$

$∴$ Ratio in thier work $= \frac{1}{10} : \frac{1}{15}$

$= \frac{3 : 2}{30} = 3 : 2$

$∴$ A's share $= R s . 3000 \times \frac{3}{3 + 2}$

$= R s . \frac{3000 \times 3}{5} = R s .1800$