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Ram and Mohan are friends. Each has some money. If Ram gives ₹ 30 to Mohan, Then Mohan will have twice the money left with Ram. But if Mohan gives ₹ 10 to Ram, Then Ram will have thrice as much as is left with Mohan. How much money does each have?
- a)₹62,₹34
- b)₹6,₹2
- c)₹170,₹124
- d)₹43,₹26
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
Ram and Mohan are friends. Each has some money. If Ram gives 30 to Mo...
Let us assume Ram has R rupees and Mohan has M rupees.
According to question,
If Ram gives 30 rupees to Mohan, then
Ram has left money = R - 30 and Mohan has money = M + 30
Then Mohan will have twice the money left with Ram,
M + 30 = 2(R - 30)
M + 30 = 2R - 60
2R - M = 90................................(1)
Again According to question,
if Mohan gives 10 rupees to Ram, then
Mohan has left the money = M - 10 and Ram has the money = R + 10
Then According to question,
Ram will have thrice as much as is left with Mohan,
R + 10 = 3 (M - 10 )
⇒ R + 10 = 3M - 30
⇒ 3M - R = 10 + 30
⇒ 3M - R = 40..................................(2)
After Multiplying 2 with Equation (2) , add with the equation (1),
6M - 2R + 2R - M = 80 + 90
⇒ 6M - M = 170
⇒ 5M = 170
⇒ M = 170/5
⇒ M = 34
Put the value of M in equation (1), we will get
⇒ 2R - 34 = 90
⇒ 2R = 90 + 34
⇒ 2R = 124
⇒ R = 124/2
⇒ R = 62
According to question,
If Ram gives 30 rupees to Mohan, then
Ram has left money = R - 30 and Mohan has money = M + 30
Then Mohan will have twice the money left with Ram,
M + 30 = 2(R - 30)
M + 30 = 2R - 60
2R - M = 90................................(1)
Again According to question,
if Mohan gives 10 rupees to Ram, then
Mohan has left the money = M - 10 and Ram has the money = R + 10
Then According to question,
Ram will have thrice as much as is left with Mohan,
R + 10 = 3 (M - 10 )
⇒ R + 10 = 3M - 30
⇒ 3M - R = 10 + 30
⇒ 3M - R = 40..................................(2)
After Multiplying 2 with Equation (2) , add with the equation (1),
6M - 2R + 2R - M = 80 + 90
⇒ 6M - M = 170
⇒ 5M = 170
⇒ M = 170/5
⇒ M = 34
Put the value of M in equation (1), we will get
⇒ 2R - 34 = 90
⇒ 2R = 90 + 34
⇒ 2R = 124
⇒ R = 124/2
⇒ R = 62
Most Upvoted Answer
Ram and Mohan are friends. Each has some money. If Ram gives 30 to Mo...
Given Information:
Ram gives 30 to Mohan, and Mohan gives 10 to Ram. After these transactions, Mohan has twice the money left with Ram, and Ram has thrice as much as is left with Mohan.
Let's Assume:
Let the initial amount of money with Ram be R and Mohan be M.
Equations:
1. M + 30 = 2(R - 30)
2. R + 10 = 3(M - 10)
Solving the Equations:
1. M + 30 = 2R - 60
M = 2R - 90
2. R + 10 = 3M - 30
R = 3M - 40
Substitute R and M:
3. Substitute M from equation 1 into equation 2:
R = 3(2R - 90) - 40
R = 6R - 270 - 40
R = 6R - 310
5R = 310
R = 62
4. Substitute R = 62 into equation 1:
M = 2(62) - 90
M = 124 - 90
M = 34
Conclusion:
Ram has 62 units of money, and Mohan has 34 units of money. So, the correct answer is option A: 62, 34.
Ram gives 30 to Mohan, and Mohan gives 10 to Ram. After these transactions, Mohan has twice the money left with Ram, and Ram has thrice as much as is left with Mohan.
Let's Assume:
Let the initial amount of money with Ram be R and Mohan be M.
Equations:
1. M + 30 = 2(R - 30)
2. R + 10 = 3(M - 10)
Solving the Equations:
1. M + 30 = 2R - 60
M = 2R - 90
2. R + 10 = 3M - 30
R = 3M - 40
Substitute R and M:
3. Substitute M from equation 1 into equation 2:
R = 3(2R - 90) - 40
R = 6R - 270 - 40
R = 6R - 310
5R = 310
R = 62
4. Substitute R = 62 into equation 1:
M = 2(62) - 90
M = 124 - 90
M = 34
Conclusion:
Ram has 62 units of money, and Mohan has 34 units of money. So, the correct answer is option A: 62, 34.
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Ram and Mohan are friends. Each has some money. If Ram gives 30 to Mohan, Then Mohan will have twice the money left with Ram. But if Mohan gives 10 to Ram, Then Ram will have thrice as much as is left with Mohan. How much money does each have?a)62,34b)6,2c)170,124d)43,26Correct answer is option 'A'. Can you explain this answer? for SSC CGL 2025 is part of SSC CGL preparation. The Question and answers have been prepared according to the SSC CGL exam syllabus. Information about Ram and Mohan are friends. Each has some money. If Ram gives 30 to Mohan, Then Mohan will have twice the money left with Ram. But if Mohan gives 10 to Ram, Then Ram will have thrice as much as is left with Mohan. How much money does each have?a)62,34b)6,2c)170,124d)43,26Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for SSC CGL 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Ram and Mohan are friends. Each has some money. If Ram gives 30 to Mohan, Then Mohan will have twice the money left with Ram. But if Mohan gives 10 to Ram, Then Ram will have thrice as much as is left with Mohan. How much money does each have?a)62,34b)6,2c)170,124d)43,26Correct answer is option 'A'. Can you explain this answer?.
Ram and Mohan are friends. Each has some money. If Ram gives 30 to Mohan, Then Mohan will have twice the money left with Ram. But if Mohan gives 10 to Ram, Then Ram will have thrice as much as is left with Mohan. How much money does each have?a)62,34b)6,2c)170,124d)43,26Correct answer is option 'A'. Can you explain this answer? for SSC CGL 2025 is part of SSC CGL preparation. The Question and answers have been prepared according to the SSC CGL exam syllabus. Information about Ram and Mohan are friends. Each has some money. If Ram gives 30 to Mohan, Then Mohan will have twice the money left with Ram. But if Mohan gives 10 to Ram, Then Ram will have thrice as much as is left with Mohan. How much money does each have?a)62,34b)6,2c)170,124d)43,26Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for SSC CGL 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Ram and Mohan are friends. Each has some money. If Ram gives 30 to Mohan, Then Mohan will have twice the money left with Ram. But if Mohan gives 10 to Ram, Then Ram will have thrice as much as is left with Mohan. How much money does each have?a)62,34b)6,2c)170,124d)43,26Correct answer is option 'A'. Can you explain this answer?.
Solutions for Ram and Mohan are friends. Each has some money. If Ram gives 30 to Mohan, Then Mohan will have twice the money left with Ram. But if Mohan gives 10 to Ram, Then Ram will have thrice as much as is left with Mohan. How much money does each have?a)62,34b)6,2c)170,124d)43,26Correct answer is option 'A'. Can you explain this answer? in English & in Hindi are available as part of our courses for SSC CGL.
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Ram and Mohan are friends. Each has some money. If Ram gives 30 to Mohan, Then Mohan will have twice the money left with Ram. But if Mohan gives 10 to Ram, Then Ram will have thrice as much as is left with Mohan. How much money does each have?a)62,34b)6,2c)170,124d)43,26Correct answer is option 'A'. Can you explain this answer?, a detailed solution for Ram and Mohan are friends. Each has some money. If Ram gives 30 to Mohan, Then Mohan will have twice the money left with Ram. But if Mohan gives 10 to Ram, Then Ram will have thrice as much as is left with Mohan. How much money does each have?a)62,34b)6,2c)170,124d)43,26Correct answer is option 'A'. Can you explain this answer? has been provided alongside types of Ram and Mohan are friends. Each has some money. If Ram gives 30 to Mohan, Then Mohan will have twice the money left with Ram. But if Mohan gives 10 to Ram, Then Ram will have thrice as much as is left with Mohan. How much money does each have?a)62,34b)6,2c)170,124d)43,26Correct answer is option 'A'. Can you explain this answer? theory, EduRev gives you an
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