Ron has a total of ₹6000 currency notes of denomination ₹50, ₹100, and ₹200. The proportion of the number of these notes is 2:3:4. How many notes of each denomination does he have?
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Answers
Answer:
Let
No. of currency notes of Rs 50 = 3x
No. of currency notes of Rs 20 = 5x
No. of currency notes of Rs 10 = 25 - (3x+5x) = 25 - 8x
Amount made by Rs 50 notes = 50 × 3x = 150x
Amount made by Rs 20 notes = 20 × 5x = 100x
Amount made by Rs 10 notes = 10 × (25 - 8x) = 250 - 80x
Total money = 590
⇒ 150x + 100x + 250 - 80x = 590
⇒ 170x = 340
⇒ x = 2
Denominations:
Rs 50 = 3 × 2 = 6
Rs 20 = 5 × 2 = 10
Rs 10 = (25 - 8 × 2) = 9
4.6
Answer:
10,15,20 respectively
Step-by-step explanation:
Total Money = ₹6000
Notes: ₹50, ₹100 and ₹200
Proportion: 2:3:4
2x*50 + 3x*100 + 4x*200 = 6000
100x+300x+800x=6000
1200x = 6000
x=6000/1200
x=5
2x = 2(5) = 10
3x = 3(5) = 15
4x = 4(5) = 20
Number of ₹50 notes is 10
Number of ₹100 notes is 15
Number of ₹200 notes is 20
Verification
2x*50 + 3x*100 + 4x*200 = 6000
2(5)*50 + 3(5)*100 + 4(5)*200 = 6000
10*50 + 15*100 + 20*200 = 6000
500+1500+4000=6000
6000=6000
LHS=RHS
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