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Question

Find the ratio of the first quantity to the second.
(1) 25 beads, 40 beads (2) 40 rupees, 120 rupees (3) 15 minutes, 1 hour
(4) 30 litres, 24 litres (5) 99 kg, 44000 grams (6) 1 litre, 250 ml
(7) 60 paise, 1 rupee (8) 750 grams, 12kg (9) 125 cm, 1 metre

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Solution


(1) 25 beads : 40 beads = 2540=25÷540÷5=58 = 5 : 8 (HCF of 25 and 40 = 5)

(2) 40 rupees : 120 rupees = 40120=40÷40120÷40=13 = 1 : 3 (HCF of 40 and 120 = 40)

(3) 15 minutes : 1 hour = 15 minutes : 60 minutes = 1560=15÷1560÷15=14 = 1 : 4 (HCF of 15 and 60 = 4)

(4) 30 litres : 24 litres = 3024=30÷624÷6=54 = 5 : 4 (HCF of 30 and 24 = 6)

(5) 44000 g = 440001000 = 44 kg (1 kg = 1000 g)

∴ 99 kg : 44000 g = 99 kg : 44 kg = 9944=99÷1144÷11=94 = 9 : 4 (HCF of 99 and 44 = 11)

(6) 1 L : 250 mL = 1000 mL : 250 mL = 1000250=1000÷250250÷250=41 = 4 : 1 (HCF of 1000 and 250 = 250)

(7) 60 paise : 1 rupee = 60 paise : 100 paise = 60100=60÷20100÷20=35 = 3 : 5 (HCF of 60 and 100 = 20)

(8) 12 kg = 12 × 1000 g = 500 g (1 kg = 1000 g)

∴ 750 g : 12 kg = 750 g : 500 g = 750500=750÷250500÷250=32 = 3 : 2 (HCF of 750 and 500 = 250)

(9) 125 cm : 1 metre = 125 cm : 100 cm = 125100=125÷25100÷25=54 = 5 : 4 (HCF of 125 and 100 = 25)

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