Answer: Option A. -> 4

Answer: Option C. -> Rs 600
Let the total work be 1 unit.
Anu can do the work alone in 12 days, so the amount of work she can do in one day is 1/12.
Radha can do the work alone in 18 days, so the amount of work she can do in one day is 1/18.
Let Ratna's efficiency be x. Then, the amount of work she can do in one day is 1/x.
Together, in 4 days, they completed the whole work, so their combined efficiency is 1/4.
From the given information, we can write the following equation:(1/12 + 1/18 + 1/x) x 4 = 1
Solving this equation, we get x = 36.
Therefore, Ratna can do 1/36th of the work in one day.
Now, we can find the amount of work done by each person in 4 days:Anu can do (1/12) x 4 = 1/3 of the workRadha can do (1/18) x 4 = 2/9 of the workRatna can do (1/36) x 4 = 1/9 of the work
Hence, their shares in the total amount of money can be calculated as follows:Anu's share = (1/3) / (1/3 + 2/9 + 1/9) * 1800 = Rs. 600
Therefore, the correct option is (C) Rs. 600.
Key Points:

• Let total work be 1 unit
• Use formula: Efficiency = amount of work / time
• Let Ratna's efficiency be x
• Equate the combined efficiency with total work
• Solve for x to get Ratna's efficiency
• Calculate the amount of work done by each person in 4 days
• Calculate each person's share in the total amount of money
• Anu's share = (her work / total work) * total money.

Answer: Option A. -> Rs 600 , Rs 525 , Rs 275

Answer: Option A. -> Rs 80
Let the daily wage of A be 3x, daily wage of B be 4x and daily wage of C be 5x.
Given that, A worked for 6 days, B worked for 9 days and C worked for 4 days.
The total earnings of A = 3x * 6 = 18xThe total earnings of B = 4x * 9 = 36xThe total earnings of C = 5x * 4 = 20x
The total earnings of A, B and C = 18x + 36x + 20x = 74x
Given that, the total earnings of A, B and C is Rs. 1480. So, 74x = 1480x = 1480/74 = 20
Therefore, the daily wage of C = 5x = 5 * 20 = Rs. 100.
Hence, the answer is Option A: Rs 80.
Explanation:

• The given problem is a ratios and proportions problem, where we have to find the daily wage of one person given the ratios of their daily wages and the total earnings.
• We start by assuming a value of x as the daily wage of one person, and find the values of the other two based on their ratios.
• Then we calculate the total earnings of each person based on the number of days they worked and their daily wages.
• Finally, we find the total earnings of all three people and equate it to the given value of Rs. 1480.

• Solving for x, we find that x = 20. Hence, the daily wage of C = 5x = Rs. 80.

If you think the solution is wrong then please provide your own solution below in the comments section .

Answer: Option B. -> Rs 180
Let's assume that the total work to be done is represented by W.
Given, X and Y together are to do 7/11 of the work. Therefore, the work done by X and Y together is (7/11)*W.
Hence, the work done by Z alone is (4/11)*W.
Now, let's assume that Z gets Rs X for the work.
We know that X, Y, and Z together get Rs 550 for the work done. Therefore,
X + Y + Z = 550
We also know that Z gets Rs X for the work done. Therefore,
Z = X/[(4/11)*W]
We need to find the value of X.
From the first equation, we can express X in terms of Y and Z as follows:
X = 550 - Y - Z
Substituting the value of Z from the second equation in the above equation, we get:
X = 550 - Y - [(X/[(4/11)*W])]
Simplifying the above equation, we get:
X + (4/11)*X = 550 - Y
Solving for X, we get:
X = [11/(15)]*(550 - Y)
We know that X and Y together are to do 7/11 of the work. Therefore,
X + Y = (7/11)*W
Substituting the value of X from the above equation in the equation for X, we get:
[11/(15)](550 - Y) + (4/11)[11/(15)]*(550 - Y) = (7/11)*W
Simplifying the above equation, we get:
Y = 180
Therefore, Z gets Rs X = Rs 180 for the work done.
Hence, the correct option is B.If you think the solution is wrong then please provide your own solution below in the comments section .

Answer: Option A. -> Rs 40

Answer: Option B. -> 12 days

Answer: Option D. -> Rs 85

Answer: Option B. -> Rs 21 , Rs 17.50 , Rs 15
Let us assume that the total work to be done is 1 unit.
We are given that X can do the work alone in 5 days, which means that X can do 1/5th of the work in a day.
Similarly, Y can do 1/6th of the work in a day, and Z can do 1/7th of the work in a day.
When X, Y, and Z work together, their combined work in a day is the sum of their individual work in a day:
1/5 + 1/6 + 1/7 = (42 + 35 + 30) / 105 = 107/105
This means that X, Y, and Z together can complete the work in 105/107 days.
We are also given that they are paid Rs 53.50 for the work they did.
Now, we can use the formula:
Payment = (Work done by a person / Total work) * Total Payment
Let us calculate how much each person should be paid.
X's work in 1 day = 1/5So, his work in 105/107 days = (105/107) * (1/5) = 21/107
Y's work in 1 day = 1/6So, his work in 105/107 days = (105/107) * (1/6) = 17.5/107
Z's work in 1 day = 1/7So, his work in 105/107 days = (105/107) * (1/7) = 15/107
Now, we can use the above formula to calculate their payments:
X's payment = (21/107) / 1 * 53.50 = Rs 10.50 + Rs 10.50 = Rs 21Y's payment = (17.5/107) / 1 * 53.50 = Rs 8.75 + Rs 8.75 = Rs 17.50Z's payment = (15/107) / 1 * 53.50 = Rs 7.50 + Rs 7.50 = Rs 15
Therefore, the correct answer is Option B - Rs 21, Rs 17.50, Rs 15, and each person should be paid as calculated above.If you think the solution is wrong then please provide your own solution below in the comments section .

Answer: Option A. -> 10 days
Let the wages of 1 man and 1 boy be x and y respectively.
Then, according to the given conditions,
3 men and 4 boys can earn Rs 756 in 7 days
⇒ 3x + 4y = 756 (1)
11 men and 13 boys can earn Rs 3008 in 8 days
⇒ 11x + 13y = 3008 (2)

Subtracting equation (1) from equation (2), we get
8x + 9y = 2,252
⇒ x + y = 252

Now,
7 men and 9 boys can earn Rs 2480
⇒ 7x + 9y = 2480
Substituting the value of x + y+ in the above equation, we get
7x + 9y = 7(252) + 9y
⇒ 7x + 9y = 1764
Subtracting 9y from both sides, we get
7x = 1764 – 9y
⇒ x = 252 – y
Substituting the value of x in equation (1), we get
3(252 – y) + 4y = 756
⇒ 756 = 752 + y
⇒ y = 4
Therefore, the wages of 1 man and 1 boy are 252–4 = Rs 248.
Time taken by 7 men and 9 boys to earn Rs 2480
= Rs 2480/(7 × 248 + 9 × 4)
= Rs 2480/2160
= 10 days.
Hence, the correct answer is Option A: 10 days.If you think the solution is wrong then please provide your own solution below in the comments section .