1.

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 hasa total of 25 notes, how many notes of each denomination she has?​

Answer»

he 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 = ` 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 or 170x = 590 – 250 = 340 or 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



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