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Ram can do ¼ of the work in 3 days and Sham can do 1/6 of the same work in 4 days. How much will Ram get if both work together and are paid Rs. 180 in all.
- a)Rs. 120
- b)Rs. 108
- c)Rs. 60
- d)Rs. 36
- e)None of these
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
Ram can do ¼ of the work in 3 days and Sham can do 1/6 of the sam...
1/4th work in 3 days
Complete work in 1 = 3×4 =12 Days
sham, 1/6th work in 4 days
Complete work in 1 = 4×6= 24
L.c.m of 24 and 12 = 24
1 day work of ram = 24/12 = 2
1 day work of sham = 24/24 = 1
So, Ratio of money 2x : 1x
3x = 180
Ram get 2x = 180×2x/3x =120x Ans.
Complete work in 1 = 3×4 =12 Days
sham, 1/6th work in 4 days
Complete work in 1 = 4×6= 24
L.c.m of 24 and 12 = 24
1 day work of ram = 24/12 = 2
1 day work of sham = 24/24 = 1
So, Ratio of money 2x : 1x
3x = 180
Ram get 2x = 180×2x/3x =120x Ans.
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Ram can do ¼ of the work in 3 days and Sham can do 1/6 of the sam...
Given information:
Ram can do 1/3 of the work in 3 days.
Sham can do 1/6 of the work in 4 days.
Together, they are paid Rs. 180.
To find: How much will Ram get if both work together?
Let's solve this step by step:
1. Find the total work:
Since Ram can do 1/3 of the work in 3 days and Sham can do 1/6 of the work in 4 days, we can calculate the total work done by both of them separately.
Ram's work in 1 day = 1/3 * 1/3 = 1/9
Sham's work in 1 day = 1/6 * 1/4 = 1/24
Now, let's add their individual work to get the total work done in 1 day:
Total work done in 1 day = 1/9 + 1/24
2. Find the total days required to complete the work:
Let's assume the total days required to complete the work when both Ram and Sham work together is 'd' days.
So, the total work done in 'd' days by both of them working together = 1
Therefore, we can write the equation as:
(d * (1/9 + 1/24)) = 1
3. Find the value of 'd':
Let's solve the equation to find the value of 'd':
(1/9 + 1/24) * d = 1
(8/72 + 3/72) * d = 1
(11/72) * d = 1
d = 72/11 ≈ 6.54
Therefore, it will take approximately 6.54 days for Ram and Sham to complete the work together.
4. Calculate Ram's share:
Now, since Ram worked for 6.54 days, his share of the total payment can be calculated as:
Ram's share = (Ram's work in 1 day) * (number of days Ram worked) * (total payment)
Ram's share = (1/9) * 6.54 * 180
Ram's share ≈ 120
Hence, Ram will get Rs. 120 if both Ram and Sham work together.
Therefore, option A) Rs. 120 is the correct answer.
Ram can do 1/3 of the work in 3 days.
Sham can do 1/6 of the work in 4 days.
Together, they are paid Rs. 180.
To find: How much will Ram get if both work together?
Let's solve this step by step:
1. Find the total work:
Since Ram can do 1/3 of the work in 3 days and Sham can do 1/6 of the work in 4 days, we can calculate the total work done by both of them separately.
Ram's work in 1 day = 1/3 * 1/3 = 1/9
Sham's work in 1 day = 1/6 * 1/4 = 1/24
Now, let's add their individual work to get the total work done in 1 day:
Total work done in 1 day = 1/9 + 1/24
2. Find the total days required to complete the work:
Let's assume the total days required to complete the work when both Ram and Sham work together is 'd' days.
So, the total work done in 'd' days by both of them working together = 1
Therefore, we can write the equation as:
(d * (1/9 + 1/24)) = 1
3. Find the value of 'd':
Let's solve the equation to find the value of 'd':
(1/9 + 1/24) * d = 1
(8/72 + 3/72) * d = 1
(11/72) * d = 1
d = 72/11 ≈ 6.54
Therefore, it will take approximately 6.54 days for Ram and Sham to complete the work together.
4. Calculate Ram's share:
Now, since Ram worked for 6.54 days, his share of the total payment can be calculated as:
Ram's share = (Ram's work in 1 day) * (number of days Ram worked) * (total payment)
Ram's share = (1/9) * 6.54 * 180
Ram's share ≈ 120
Hence, Ram will get Rs. 120 if both Ram and Sham work together.
Therefore, option A) Rs. 120 is the correct answer.
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Ram can do ¼ of the work in 3 days and Sham can do 1/6 of the same work in 4 days. How much will Ram get if both work together and are paid Rs. 180 in all.a)Rs. 120b)Rs. 108c)Rs. 60d)Rs. 36e)None of theseCorrect answer is option 'A'. Can you explain this answer?
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Ram can do ¼ of the work in 3 days and Sham can do 1/6 of the same work in 4 days. How much will Ram get if both work together and are paid Rs. 180 in all.a)Rs. 120b)Rs. 108c)Rs. 60d)Rs. 36e)None of theseCorrect answer is option 'A'. Can you explain this answer? for Quant 2025 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about Ram can do ¼ of the work in 3 days and Sham can do 1/6 of the same work in 4 days. How much will Ram get if both work together and are paid Rs. 180 in all.a)Rs. 120b)Rs. 108c)Rs. 60d)Rs. 36e)None of theseCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for Quant 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Ram can do ¼ of the work in 3 days and Sham can do 1/6 of the same work in 4 days. How much will Ram get if both work together and are paid Rs. 180 in all.a)Rs. 120b)Rs. 108c)Rs. 60d)Rs. 36e)None of theseCorrect answer is option 'A'. Can you explain this answer?.
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