A sum of rs 500 is in the form of denominations of rs 10 rs 20 and rs 50.if total no of notes are 24 find the number of notes of each type
Answers
Correct Question :
A sum of Rs. 500 is in the form of denominations of 5 and 10. If the total number of notes is 90. Find the number of notes of each type.
AnswEr :
Let the Notes of Rs. 5 be n, and Notes of Rs. 10 will be (90 - n).
• According to the Question Now :
⇒ Value of Rs. (5 + 10) Note = Rs. 500
⇒ (No. × Value) + (No. × Value) = Rs. 500
⇒ (n × 5) + {(90 - n) × 10} = 500
⇒ 5n + 900 - 10n = 500
⇒ 900 - 5n = 500
⇒ 900 - 500 = 5n
⇒ 400 = 5n
- Dividing Both term by 5
⇒ n = 80
◗ Rs. 5 Note = n = 80
◗ Rs. 10 Note = (90 - n) = (90 - 80) = 10
∴ Number of 5 Rupees Note and 10 Rupees Note are 80 and 10 respectively.
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• Verification :
⇒ Value of Rs. (5 + 10) Note = Rs. 500
⇒ (No. × Value) + (No. × Value) = Rs. 500
⇒ (80 × Rs. 5) + (10 × Rs. 10) = Rs. 500
⇒ Rs. 400 + Rs. 100 = Rs. 500
⇒ Rs. 500 = Rs. 500 ⠀⠀⠀Hence, Verified!
Answer:
Let the 5 Rupees Note be x, and 10 Rupees Note be (90 - x)
=> 10 Rupees Note + 5 Rupees Note = 500
=> (10 × (90 - x)) + (5 × x) = 500
=> 900 - 10x + 5x = 500
=> 900 - 5x = 500
=> - 5x = 500 - 900
=> - 5x = - 400
=> x = - 400/ - 5
=> x = 80