Question

Deveshi has a total of ₹590 as currency notes in the denominations of ₹50 , ₹20 and ₹10. The ratio of the 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?

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Answer 1

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Deveshi has a total of ₹590 as currency notes in the denominations of ₹50 , ₹20 and ₹10. The ratio of the 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?

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Let,

The number of ₹50 notes and ₹20 notes be 3x and 5x, respectively.

But she has 25 notes in total.

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

The amount she has

from ₹50 notes: 3x × 50 = Rs 150x

from ₹20 notes: 5x × 20 = Rs 100x

from ₹10 notes: ( 25 - 8x ) × 10 = Rs ( 250 - 80x )

Hence, the total money she has = 150x + 100x + ( 250 - 80x ) = Rs ( 170x + 250 )

But she has Rs 590.

Therefore, 170x + 250 = 590

170x = 590 - 250

170x = 340

x = 340/170

x = 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

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Answer 2

Hi Friend

let the number of rupees 50 note and rupees 20 note be 3x and 5x,respectively .but she was 25 notes in total

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

The amount she has

From $50 notes :3×x50

From rs 20 notes: 5×x20=$100 x

From $ 10 notes:(25-8×)*10=$(250-80×)

Hence the total money she has =150×+100×+(250 _80×)=$170×+250=590

But she have $ 590.therefore 170+250=590

170×=590_250=340

The number of $ 50 note she has=3×=3X2=6

The number of$20 notes she has =5×=5*2=10

The number of $ notes she has = 25-8×

25-(8X2)=25-16=9

Thanks