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In a box, there are ₹10 notes, ₹20 notes and ₹50 in a ratio of 3 ∶ 5 ∶ 7. The total amount of notes is ₹3,360. Find the number of ₹20 notes and ₹50 notes taken together.
  • a)
    84
  • b)
    79
  • c)
    80
  • d)
    73
Correct answer is option 'A'. Can you explain this answer?
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Most Upvoted Answer
In a box, there are ₹10 notes, ₹20 notes and ₹50 in a ratio of 3 ∶ 5 ∶...
Total Notes Calculation
Given the ratio of ₹10, ₹20, and ₹50 notes is 3:5:7. Let the number of ₹10 notes be 3x, ₹20 notes be 5x, and ₹50 notes be 7x.
Calculating Total Amount
The total amount of notes can be calculated as follows:
- Total amount from ₹10 notes = 10 * 3x = ₹30x
- Total amount from ₹20 notes = 20 * 5x = ₹100x
- Total amount from ₹50 notes = 50 * 7x = ₹350x
Now, adding these amounts:
- Total amount = ₹30x + ₹100x + ₹350x = ₹480x
Setting Up the Equation
According to the problem, the total amount is ₹3,360. Therefore, we set up the equation:
- 480x = 3360
Solving for x
To find x, divide both sides by 480:
- x = 3360 / 480
- x = 7
Finding the Number of Notes
Now, substitute x back to find the number of each type of notes:
- Number of ₹10 notes = 3x = 3 * 7 = 21
- Number of ₹20 notes = 5x = 5 * 7 = 35
- Number of ₹50 notes = 7x = 7 * 7 = 49
Calculating ₹20 and ₹50 Notes Together
Now, add the number of ₹20 notes and ₹50 notes together:
- Total (₹20 + ₹50 notes) = 35 + 49 = 84
Thus, the total number of ₹20 and ₹50 notes taken together is 84.
Final Answer
The correct option is A) 84.
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Community Answer
In a box, there are ₹10 notes, ₹20 notes and ₹50 in a ratio of 3 ∶ 5 ∶...
Given:
There are ₹10 notes, ₹20 notes and ₹50 in a ratio of 3N ∶ 5N ∶ 7N.
The total amount of notes is ₹3,360.
Calculation:
According to question,
(10 × 3N) + 
(20 × 5N) + (50 × 7N) = 3360
⇒ 30N + 100N + 350N = 3360
⇒ 480N = 3360
⇒ N = 3360/480
⇒ N = 7
Now,
The number of ₹20 notes = 5 × 7 = 35
The number of ₹50 notes = 7 × 7 = 49
₹20 notes and ₹50 notes taken together:
⇒ 35 + 49 = 84
∴ The number of ₹20 notes and ₹50 notes taken together is 84.
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In a box, there are ₹10 notes, ₹20 notes and ₹50 in a ratio of 3 ∶ 5 ∶ 7. The total amount of notes is ₹3,360. Find the number of ₹20 notes and ₹50 notes taken together.a)84b)79c)80d)73Correct answer is option 'A'. Can you explain this answer?
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