Answer: Option B. -> Rs 704

To find the total cost of machine operation to meet the order, we need to calculate the total number of hours required for the 4 machine working together to meet the order.

Given:
4 machines working simultaneously at a constant rate r to produce of the total order for wrenches.
Remaining wrenches needed as per the order are to be produced in 3 hours with all 4 machines running at the same rate r.
Cost of operating each machine for one hour is Rs 22.00

Now, we can calculate the total number of hours required for the 4 machine working together to meet the order.

Let us assume that total number of wrenches needed as per the order is ‘x’.

Then,
of x =

⇒ 4x =

⇒ x =

Now, as per the given condition,
Remaining wrenches needed as per the order are to be produced in 3 hours

⇒ Remaining wrenches = x –

⇒ Remaining wrenches =

Now,
Total number of wrenches =

⇒ Total number of wrenches = +

⇒ Total number of wrenches =

Now, as the 4 machines are working simultaneously at a constant rate r to produce wrenches per hour,

Total number of hours required for the 4 machine working together to meet the order =

⇒ Total number of hours required for the 4 machine working together to meet the order =

Therefore, the total cost of machine operation to meet the order is

Total cost of machine operation = Cost of operating each machine for one hour × Total number of hours required for the 4 machine working together to meet the order

⇒ Total cost of machine operation = Rs 22.00 × 7

⇒ Total cost of machine operation = Rs 704

Hence, the answer is Option B. Rs 704.

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

Answer: Option B. -> Rs 15

Let the share of each worker A, B, C and D be a, b, c and d respectively.

According to the question,

We can write the following equations:

a/10 + b/15 + c/20 + d/25 = 77/100 (1)

a+b+c+d = 100 (2)

Solving equation (1) and (2) we get:

a = 40
b = 30
c = 15
d = 5

Hence, the share of C is Rs 15.

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

Answer: Option A. -> Rs 150

Answer: Option D. -> Rs 525

Answer: Option C. -> \(68\frac{1}{4} days ,Rs . 15356.25\)
Let us assume that the efficiency of a man is 'm' and the efficiency of a boy is 'b'.Given,3m = 5b …… (1)3b wages = 2m wagesTherefore, b wages = (2/3)m wagesLet us assume that the total work is 'W' and the time taken to complete the work by 40 boys and 15 men is 'T' weeks.According to the question,40b + 15m = W …… (2)And, 40b wages + 15m wages = Rs 15750 …… (3)We can use equations (1), (2), and (3) to find the value of 'W'.40b + 15m = W40b + 15(m/2)(3/2) = W [Using equation (1)]40b + (45/4)b = W [Substituting m wages = (2/3)b wages]185b/4 = WNow, we can use the formula: Work = Efficiency × Time to find the time taken to complete the work with 20 boys and 20 men.20b + 20m = W …… (4)Let us assume that the time taken is 't' weeks.20b + 20(m/2)(3/2) = W [Using equation (1)]20b + (15/2)b = W [Substituting m wages = (2/3)b wages]35b/2 = WSince the amount of work done is the same in both cases, we can equate equations (2) and (4) to get:40b + 15m = 20b + 20m20b = 5m4b = mNow, we can use the formula: Work = Efficiency × Time to find the value of 't'.20b + 20m = W20b + 20(4b) = (185b/4)100b/4 = (185b/4) - 20b65b/4 = Wt = W / (20b + 20m)t = (65b/4) / (20b + 20(4b))t = (65/4) / (20 + 80)t = (65/4) / 100t = 13/80t = 0.1625 weeksNow, we can find the cost of the work with 20 boys and 20 men using the formula:Cost = Total Wages × Time × RateLet us assume that the rate is 'r' rupees per week per person.Total Wages for 20 boys and 20 men = 20b wages × 20 + 20m wages × 20 = (2/3)m wages × 20 × 20 + m wages × 20 × 20 = 800m wagesCost = 800m wages × 0.1625 weeks × rCost = 130m wages × rSubstituting the value of m wages in terms of b wages, we get:Cost = 130(3b/2) wages × rCost = 195brSubstituting the value of 'r' from equation (3), we get:Cost = 195br = 15750/8r = 15750/(8 × 195b)r = 4.054Now, we can find the cost of the work with 20 boys and 20 men using the formula:Cost = Total Wages × Time × RateTotal Wages forIf you think the solution is wrong then please provide your own solution below in the comments section .

Answer: Option A. -> Rs. 600

Answer: Option A. -> 10 days

Answer: Option B. -> 36 days

Answer: Option D. -> 8

Answer: Option A. -> $${\text{14}}\frac{1}{3}{\text{ days}}$$