Work Rate Calculation
Ram can complete the work in 12 days, and Shyam can complete it in 18 days. To find the ratio of the work they do, we can consider the least common multiple (LCM) of their days, which is 36.
- In 36 days, Ram completes $36 / 12 = 3$ units of work.
- In 36 days, Shyam completes $36 / 18 = 2$ units of work.
The ratio of work done by Ram to Shyam is $3:2$. This ratio determines how the total payment is divided.
Individual Earnings Calculation
The total amount received is ₹15,000. This amount should be divided in the ratio of work done, which is $3:2$.
- Total parts in the ratio = $3 + 2 = 5$ parts.
- Value of 1 part = Total Amount / Total Parts = $₹15,000 / 5 = ₹3,000$.
Now, calculate the individual earnings:
- Ram's share = Ram's ratio parts × Value of 1 part = $3 \times ₹3,000 = ₹9,000$.
- Shyam's share = Shyam's ratio parts × Value of 1 part = $2 \times ₹3,000 = ₹6,000$.
Therefore, Ram received ₹9,000 and Shyam received ₹6,000.
Similar Questions
If the wages for 9 workers for 8 days are ₹2,880, what will be the wages for 15 workers for 9 days at the same rate?
- 12 skilled, 14 semi-killed and 10 unskilled workers complete a job for ₹13189. If their individual wages be in the ratio of 9:5:4, then the total money (in ₹) earned by 10 unskilled workers is:
- A alone can finish a job in 12 days, while B alone can finish it in 15 days. With the help of C, they can finish the same job in 5 days. If they are paid ₹2,880 for the whole job, what will be the share of C?
- X, Y and Z together earn ₹2,400/- in 15 days. X and Y together earn ₹1,840/- in 16 days. Y and Z together earn ₹1,530/- in 18 days. What is the daily earning (in ₹) of Y?
- 2 men and 3 women can earn ₹49 in 7 days. 3 men and 6 women can earn ₹96 in 8 days. In what time 1 man and 1 woman earn ₹27?
- A alone can finish a task in 20 days, while B alone can finish it in 15 days. They together work for 5 days and stop, then the rest of the work is finished by C alone in 2 days. If they get paid ₹2,400 for finishing the whole task, then find the difference between the daily wages of C and A.
Important Questions from Work and Wages
A can complete a work alone in 8 days. B can complete the same work alone in 12 days. C alone complete the same work in 16 days. They complete the work in 3 days with the help of D. If they get Rs.12000 for the work, then how much money does the D get?
If 15 men can complete a work in 16 days by working 8 hours daily, then in how many days will 10 men complete the work by working 12 hours daily?
10 men working 8 hours a day can finish a work in 28 days. In how many days, 8 men working 5 hours a day with complete 50% of that work?
Twenty lamps can be lighted for 6 hr a day for 20 days at a cost of Rs. 100. How much would be the cost of lighting 40 lamps, 8 hr for 12 days?
Six men can complete a job in two days. Four boys can complete the same job in eight days. In how many days would three men and six boys, working together, be able to complete the job?
