Express each of the given ratios in its simplest form:
(i) 40 kg:1 quintal
(ii) 10 paise: Rs1
(iii) 200 m:5 km
(iv) 40 kg:1 quintal

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Solution

(i) We know that
1 quanital = 100 kg
We get
= 40 kg: 100 kg
It can be written as
= 40/100
We know that the HCF of 40 and 100 is 20
Dividing both numerator and denominator by 20
= (40/20) / (100/20)
So, we get,
= 2/5
=2: 5
(ii) 100 paise: Rs 1
We know that
1 Rupee = 100 Paise
We get
= 10 paise : 100 paise
It can be written as
= 10/100
So we get
= 1/10
= 1: 10
(iii) 200 m: 5 km
We know that
1 km = 1000 m
We get
= 200 m : 5000 m
It can be written as
= 200/5000
Here the HCF of 200 and 5000 is 200
Dividing both numerator and denominator by 200
= (200/200) / (5000/200)
So we get
= 1/25
= 1 : 25

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Express each of the given ratios in its simplest form: (i) 40 kg:1 quintal (ii) 10 paise: Rs1 (iii) 200 m:5 km (iv) 40 kg:1 quintal

Express each of the given ratios in its simplest form:
(i) 40 kg:1 quintal
(ii) 10 paise: Rs1
(iii) 200 m:5 km
(iv) 40 kg:1 quintal