Neha has ₹10 and ₹20 notes in her purse. if she has 15 notes in all which amounts to₹190, then how many notes of each type does she have?
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Given :
Devshi has 590 Rupees
Total 25 notes
Rs50 & Rs20 ⇒ 3:5
Notes of Rs50 = 3x
Notes of Rs20 = 5x
Notes of Rs10 = 25 − (3x+5x) = 25 − 8x
Amount in 50 Rupee notes ⇒ 150x
Amount in 20 Rupee notes ⇒ 100x
Amount in 10 Rupee notes ⇒ 250 - 80x
⇒150x+100x+250−80x=590
⇒250−80x=590−250
⇒170x=340
∴ , x = 2
So Deveshi has
Notes of Rs.50 = 300
Notes of Rs.20 = 200
Notes of Rs.10 = 90
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GIVEN
- Total notes = 15
- ₹10 + ₹20 = ₹190
SOLUTION
Lets number of notes of ₹10 be x ₹20 be y
- x + y = 15
- 10x + 20y = 190
- 10(15 - y) + 20y = 190
- 150 - 10y + 20y = 190
- 10y = 40
- y = 4
- x = 11
- Number of ₹10 notes = 11
- Number of ₹20 notes = 4
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