Question

deveshi has a total of 590₹ as currency notes in the denominations of ₹50 , 20 and ₹ 10. the ration of number of ₹50 notes and ₹ 20 notes is 3:5 . if she has a total of 25 notes , how many notes of each denomination she has ?​

Answer 1

Answer:

50₹ × 6 = 300

20₹ × 10 = 200

10₹ × 9 = 90

Total ₹ 590

Answer 2

Given:-

• Total Currency Notes = ₹590
• The denomination of = ₹50,20,₹10
• Ratio of the ₹50 notes & ₹20 notes = 3:5
• Total Notes She has = 25

To find:-

• How many notes of denomination she has?

Solution:-

Let the number of ₹50 notes be 3x & ₹20 notes be 5x.

But she has total 25 notes.

Therefore,the number of ₹10 notes = 25 - (3x+5x) =25 - 8x

The amount She has :-

• From ₹50 notes : 3x × 50 = ₹150x
• From ₹20 notes : 5x × 20 = ₹100x
• From ₹10 notes : (25-8x)×10 = ₹(250 - 80x)

Hence the total Money she has = 150x + 100x + (250-80x) = ₹(170x+250)

But she has ₹590.

Therefore, 170x + 250 = 590

=> 170x = 590 - 250 = 340

=> x = 340/170 = 2

◆ The number of ₹50 notes she has = 3x = 3 × 2 = 6.

◆ The number of ₹20 notes she has = 5x = 5 ×2 = 10.

◆ The number of ₹10 notes she has = 25 - 8x = 25 - (8 × 2) = 25 - 16 = 9