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Rahul has a bag which contains Rs. 1, 50 paisa, and 25 paisa coins and the ratio of number of coins is 1 ∶ 1/2 ∶ 1/3. If Rahul has a total amount of Rs 1120, then find the total value of 25 paisa coins.
- a)Rs. 60
- b)Rs. 84
- c)Rs. 96
- d)Rs. 70
Correct answer is option 'D'. Can you explain this answer?
Most Upvoted Answer
Rahul has a bag which contains Rs. 1, 50 paisa, and 25 paisa coins and...
Solution:
Let's assume the number of 1 rupee coins, 50 paisa coins, and 25 paisa coins are x, y, and z respectively.
- Given ratio: 1 : 1/2 : 1/3
- We can express this ratio in terms of x, y, and z as follows:
x : y : z = 6 : 3 : 2
- The sum of the ratio terms is 6 + 3 + 2 = 11.
- Let's assume the common ratio term as k.
- Using the assumption, we can write the equation as:
6k + 3k + 2k = 11k = total number of coins
- The total value of 1 rupee coins is 1 * 6k = 6k.
- The total value of 50 paisa coins is 0.50 * 3k = 1.50k.
- The total value of 25 paisa coins is 0.25 * 2k = 0.50k.
- According to the question, the total amount is Rs. 1120.
So, 6k + 1.50k + 0.50k = 1120.
- Simplifying the equation, we get:
8k = 1120.
- Dividing both sides of the equation by 8, we get:
k = 140.
- Now, substituting the value of k in the expressions for the total value of each type of coin, we get:
Total value of 1 rupee coins = 6k = 6 * 140 = Rs. 840.
Total value of 50 paisa coins = 1.50k = 1.50 * 140 = Rs. 210.
Total value of 25 paisa coins = 0.50k = 0.50 * 140 = Rs. 70.
Therefore, the total value of 25 paisa coins is Rs. 70 (option D).
Let's assume the number of 1 rupee coins, 50 paisa coins, and 25 paisa coins are x, y, and z respectively.
- Given ratio: 1 : 1/2 : 1/3
- We can express this ratio in terms of x, y, and z as follows:
x : y : z = 6 : 3 : 2
- The sum of the ratio terms is 6 + 3 + 2 = 11.
- Let's assume the common ratio term as k.
- Using the assumption, we can write the equation as:
6k + 3k + 2k = 11k = total number of coins
- The total value of 1 rupee coins is 1 * 6k = 6k.
- The total value of 50 paisa coins is 0.50 * 3k = 1.50k.
- The total value of 25 paisa coins is 0.25 * 2k = 0.50k.
- According to the question, the total amount is Rs. 1120.
So, 6k + 1.50k + 0.50k = 1120.
- Simplifying the equation, we get:
8k = 1120.
- Dividing both sides of the equation by 8, we get:
k = 140.
- Now, substituting the value of k in the expressions for the total value of each type of coin, we get:
Total value of 1 rupee coins = 6k = 6 * 140 = Rs. 840.
Total value of 50 paisa coins = 1.50k = 1.50 * 140 = Rs. 210.
Total value of 25 paisa coins = 0.50k = 0.50 * 140 = Rs. 70.
Therefore, the total value of 25 paisa coins is Rs. 70 (option D).
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Community Answer
Rahul has a bag which contains Rs. 1, 50 paisa, and 25 paisa coins and...
Given:
Total amount = Rs 1120
Ratio of coins of Rs 1, 50 paisa, and 25 paisa = 1 ∶ 1/2 ∶ 1/3
Formula Used:
Value of coins = Number of coins × per coin value
Calculation:
We know that
Rs 1 = 100 paisa
Ratio of value per coin = 100 ∶ 50 ∶ 25
⇒ 4 ∶ 2 ∶ 1
Ratio of number of coins = 1 ∶ 1/2 ∶ 1/3
⇒ 6 ∶ 3 ∶ 2
Total value of coins = 24 ∶ 6 ∶ 2
⇒ 12 ∶ 3 ∶ 1 = 16 units
⇒ 16 units = 1120
⇒ 1 units = 70
Value of 25 paisa coins = 1 units
⇒ 1 × 70
⇒ Rs. 70
∴ The total number of 25 paisa coins is Rs. 70.
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Rahul has a bag which contains Rs. 1, 50 paisa, and 25 paisa coins and the ratio of number of coins is 1 1/2 1/3. If Rahul has a total amount of Rs 1120, then find the total value of 25 paisa coins.a)Rs. 60b)Rs. 84c)Rs. 96d)Rs. 70Correct answer is option 'D'. Can you explain this answer? for SAT 2026 is part of SAT preparation. The Question and answers have been prepared according to the SAT exam syllabus. Information about Rahul has a bag which contains Rs. 1, 50 paisa, and 25 paisa coins and the ratio of number of coins is 1 1/2 1/3. If Rahul has a total amount of Rs 1120, then find the total value of 25 paisa coins.a)Rs. 60b)Rs. 84c)Rs. 96d)Rs. 70Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for SAT 2026 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Rahul has a bag which contains Rs. 1, 50 paisa, and 25 paisa coins and the ratio of number of coins is 1 1/2 1/3. If Rahul has a total amount of Rs 1120, then find the total value of 25 paisa coins.a)Rs. 60b)Rs. 84c)Rs. 96d)Rs. 70Correct answer is option 'D'. Can you explain this answer?.
Rahul has a bag which contains Rs. 1, 50 paisa, and 25 paisa coins and the ratio of number of coins is 1 1/2 1/3. If Rahul has a total amount of Rs 1120, then find the total value of 25 paisa coins.a)Rs. 60b)Rs. 84c)Rs. 96d)Rs. 70Correct answer is option 'D'. Can you explain this answer? for SAT 2026 is part of SAT preparation. The Question and answers have been prepared according to the SAT exam syllabus. Information about Rahul has a bag which contains Rs. 1, 50 paisa, and 25 paisa coins and the ratio of number of coins is 1 1/2 1/3. If Rahul has a total amount of Rs 1120, then find the total value of 25 paisa coins.a)Rs. 60b)Rs. 84c)Rs. 96d)Rs. 70Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for SAT 2026 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Rahul has a bag which contains Rs. 1, 50 paisa, and 25 paisa coins and the ratio of number of coins is 1 1/2 1/3. If Rahul has a total amount of Rs 1120, then find the total value of 25 paisa coins.a)Rs. 60b)Rs. 84c)Rs. 96d)Rs. 70Correct answer is option 'D'. Can you explain this answer?.
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