A certain sum of money is made up of Re. 1, 50 paise and 25 paise coins. The ratio of the number of these coins is 5 : 6 : 8. Then, 3/5th of the Re. 1 coins are changed to 50 paise and 25 paise coins, such that the ratio of the total number of these coins in the same order became 1 : 2. Now, half of the 50 paise coins are changed to Re. 1 coins and all the 25 paise coins are changed to Re.1 and 50 paise coins in the ratio 7 : 4. What is the ratio of the Re. 1 and 50 paise coins at the end of the conversions?(Note:If you change a Re.1 coin into 50 paise coins, then you will get two coins of 50 paise for a Re. 1 coin.)(2015)a)11 : 23b)16 : 13c)54 : 71d)None of theseCorrect answer is option 'B'. Can you explain this answer?

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A certain sum of money is made up of Re. 1, 50 paise and 25 paise coins. The ratio of the number of these coins is 5 : 6 : 8. Then, 3/5th of the Re. 1 coins are changed to 50 paise and 25 paise coins, such that the ratio of the total number of these coins in the same order became 1 : 2. Now, half of the 50 paise coins are changed to Re. 1 coins and all the 25 paise coins are changed to Re.1 and 50 paise coins in the ratio 7 : 4. What is the ratio of the Re. 1 and 50 paise coins at the end of the conversions?
(Note: If you change a Re.1 coin into 50 paise coins, then you will get two coins of 50 paise for a Re. 1 coin.)

(2015)

a)
11 : 23
b)
16 : 13
c)
54 : 71
d)
None of these

Correct answer is option 'B'. Can you explain this answer?

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A certain sum of money is made up of Re. 1, 50 paise and 25 paise coin...

Let the number of Re. 1,50 paise and 25 paise coins be 360, 432 and 576 respectively (ratio 5 : 6 : 8).

Ratio = 512 : 416 =16 : 13.

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Most Upvoted Answer

A certain sum of money is made up of Re. 1, 50 paise and 25 paise coin...

To solve this problem, let's break it down into smaller steps:

Step 1: Initial distribution of coins
Let's assume the total number of coins is 5x, 6x, and 8x for Re. 1, 50 paise, and 25 paise coins respectively.
So, the total value of these coins is 5x + (6x * 0.50) + (8x * 0.25) = 5x + 3x + 2x = 10x.

Step 2: Changing Re. 1 coins to 50 paise and 25 paise coins
3/5th of the Re. 1 coins are changed, which means 3/5 * 5x = 3x Re. 1 coins are changed.
The number of Re. 1 coins remaining = 5x - 3x = 2x.
The number of 50 paise coins = 6x + (3x * 2) = 6x + 6x = 12x.
The number of 25 paise coins = 8x + (3x * 2) = 8x + 6x = 14x.
The total value of these coins = (2x * 1) + (12x * 0.50) + (14x * 0.25) = 2x + 6x + 3.5x = 11.5x.

Step 3: Changing 50 paise coins to Re. 1 coins and 25 paise coins to Re. 1 and 50 paise coins
Half of the 50 paise coins are changed, which means (1/2) * 12x = 6x 50 paise coins are changed.
The number of 50 paise coins remaining = 12x - 6x = 6x.
The number of Re. 1 coins = 2x + 6x = 8x.
The number of 25 paise coins = 14x (no change).
The number of 50 paise coins after conversion = 6x + (6x * 2) = 6x + 12x = 18x.
The total value of these coins = (8x * 1) + (18x * 0.50) + (14x * 0.25) = 8x + 9x + 3.5x = 20.5x.

Step 4: Finding the ratio of Re. 1 and 50 paise coins
The ratio of Re. 1 and 50 paise coins at the end = 8x : 18x = 8 : 18 = 16 : 36 = 8 : 18 = 4 : 9.

So, the correct answer is option B) 16:13.

Answered by Wizius Careers · View profile

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A certain sum of money is made up of Re. 1, 50 paise and 25 paise coins. The ratio of the number of these coins is 5 : 6 : 8. Then, 3/5th of the Re. 1 coins are changed to 50 paise and 25 paise coins, such that the ratio of the total number of these coins in the same order became 1 : 2. Now, half of the 50 paise coins are changed to Re. 1 coins and all the 25 paise coins are changed to Re.1 and 50 paise coins in the ratio 7 : 4. What is the ratio of the Re. 1 and 50 paise coins at the end of the conversions?(Note:If you change a Re.1 coin into 50 paise coins, then you will get two coins of 50 paise for a Re. 1 coin.)(2015)a)11 : 23b)16 : 13c)54 : 71d)None of theseCorrect answer is option 'B'. Can you explain this answer?

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A certain sum of money is made up of Re. 1, 50 paise and 25 paise coins. The ratio of the number of these coins is 5 : 6 : 8. Then, 3/5th of the Re. 1 coins are changed to 50 paise and 25 paise coins, such that the ratio of the total number of these coins in the same order became 1 : 2. Now, half of the 50 paise coins are changed to Re. 1 coins and all the 25 paise coins are changed to Re.1 and 50 paise coins in the ratio 7 : 4. What is the ratio of the Re. 1 and 50 paise coins at the end of the conversions?(Note:If you change a Re.1 coin into 50 paise coins, then you will get two coins of 50 paise for a Re. 1 coin.)(2015)a)11 : 23b)16 : 13c)54 : 71d)None of theseCorrect answer is option 'B'. Can you explain this answer? for CAT 2024 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about A certain sum of money is made up of Re. 1, 50 paise and 25 paise coins. The ratio of the number of these coins is 5 : 6 : 8. Then, 3/5th of the Re. 1 coins are changed to 50 paise and 25 paise coins, such that the ratio of the total number of these coins in the same order became 1 : 2. Now, half of the 50 paise coins are changed to Re. 1 coins and all the 25 paise coins are changed to Re.1 and 50 paise coins in the ratio 7 : 4. What is the ratio of the Re. 1 and 50 paise coins at the end of the conversions?(Note:If you change a Re.1 coin into 50 paise coins, then you will get two coins of 50 paise for a Re. 1 coin.)(2015)a)11 : 23b)16 : 13c)54 : 71d)None of theseCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A certain sum of money is made up of Re. 1, 50 paise and 25 paise coins. The ratio of the number of these coins is 5 : 6 : 8. Then, 3/5th of the Re. 1 coins are changed to 50 paise and 25 paise coins, such that the ratio of the total number of these coins in the same order became 1 : 2. Now, half of the 50 paise coins are changed to Re. 1 coins and all the 25 paise coins are changed to Re.1 and 50 paise coins in the ratio 7 : 4. What is the ratio of the Re. 1 and 50 paise coins at the end of the conversions?(Note:If you change a Re.1 coin into 50 paise coins, then you will get two coins of 50 paise for a Re. 1 coin.)(2015)a)11 : 23b)16 : 13c)54 : 71d)None of theseCorrect answer is option 'B'. Can you explain this answer?.

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