Question

Kaveri has a total of rupees 590 as currency notes in the denomination of rupees 50 rupees, 20 and rupees 10. the ratio of number of rupees 50 notes and rupees 20 notes is 3:5. if she has a total of 25 notes, how many notes of the each denomination she has

Answer 1

Let the number of Rs 50 notes and Rs 20 notes be 3x and 5x, respectively.

But she has 25 notes in total.

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

The amount she has

from Rs 50 notes : 3x × 50 = Rs 150x

from Rs 20 notes : 5x × 20 = Rs 100x

from Rs 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

    or 170x = 590 – 250 = 340

    or x =

340

170

 = 2

The number of Rs 50 notes she has = 3x

= 3 × 2 = 6

The number of Rs 20 notes she has = 5x = 5 × 2 = 10

The number of Rs 10 notes she has = 25 – 8x

= 25 – (8 × 2) = 25 – 16 = 9

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