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Mathematics

Find the ratio between :

(i) 60 paise and ₹ 1.35

(ii) 1.8 m and 75 cm

(iii) 1.5 kg and 600 g

(iv) 35 min and 1341\dfrac{3}{4} hrs

Ratio Proportion

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Answer

(i) Given,

60 paise and ₹ 1.35

₹ 1 = 100 paise

₹ 1.35 = 135 paise

Required ratio = 60135=49\dfrac{60}{135} = \dfrac{4}{9}

= 4 : 9

Hence, ratio = 4 : 9.

(ii) Given,

1.8 m and 75 cm

1 m = 100 cm

1.8 m = 180 cm

Required ratio = 18075=125\dfrac{180}{75} = \dfrac{12}{5}

= 12 : 5.

Hence, ratio = 12 : 5.

(iii) Given,

1.5 kg and 600 g

1 kg = 1000 g

1.5 kg = 1500 g

Required ratio = 1500600=52\dfrac{1500}{600} = \dfrac{5}{2}

= 5 : 2.

Hence, ratio = 5 : 2.

(iv) Given,

35 min and 1341\dfrac{3}{4} hrs

1 hour = 60 min

134=74\Rightarrow 1\dfrac{3}{4} = \dfrac{7}{4} hrs

= 74×60\dfrac{7}{4} \times 60 = 105 mins.

Required ratio = 35105=13\dfrac{35}{105} = \dfrac{1}{3}.

Hence, ratio = 1 : 3.

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