Question

15. A alone can do a piece of work in 6 days and B alone in 8 days. A and
B undertook to do it for Rs. 3200. With the help of C, they completed the
work in 3 days. How much is to be paid to C?
(a) Rs. 375 (b) Rs. 400 (C) Rs. 600 (d) Rs. 800
​

Answer 1

Answer:

Rs.400 is paid to C.

Step-by-step explanation:

Given:- A independently can finish a task in 6 days, while B alone takes 8 days. For Rs. 3200, A and B agreed to perform the task. They finished the job in 3 days with C's aid.

To Find:- How much is to be paid to C ?

Solution:-

→ LCM of 6, 8, and 3 is 24 units

Let the total work be 24 units.

So,

→ The Efficiency of A is calculated as total work/days = 24/6 = 4 units/day.

→ Efficiency of B = Total work / days = 24/8 = 3 units/day.

→ Efficiency of (A+B+C) = Total work / days = 24/3 = 8 units/day.

then,

→ Efficiency of C = Efficiency of (A+B+C) - Efficiency of A - Efficiency of B = 8 - 4 - 3 = 8 - 7 = 1 units/day.

we can conclude that,

The payment was given in the ratio of their Efficiency.

Therefore,

→ C received = $\frac{1}{8} \times 3200$  = Rs.400 (Ans.)

Hence, Rs.400 is paid to C.

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Answer 2

The correct option is (b) Rs.400 is paid to C.

GIVEN:-

• A independently can finish a task in 6 days
• B alone takes 8 days.
• For Rs. 3200, A and B agreed to perform the task
• They finished the job in 3 days with C's aid.

TO FIND:- How much is to be paid to C

SOLUTION:-

• LCM of 6, 8, and 3 is 24 units
• Let the total work be 24 units.

According to the question,

The Efficiency of A = total work/days = 24/6 = 4 units/day.

The Efficiency of B = Total work/days = 24/8 = 3 units/day.

The Efficiency of A, B and C = Total work/days = 24/3 = 8 units/day.

Accordingly,

The efficiency of C = Efficiency of (A+B+C) - Efficiency of A - Efficiency of B

$= 8 - 4 - 3 \\ = 8 - 7 \\ = 1$

The payment was given in the ratio of their Efficiency.

Thus, C received = 1/8 × 3200 = Rs 400

Hence, the correct option is (b) Rs.400 is paid to C.

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