Question

the cost of 3 3/4 kg of sugar is ₹121 1/2 find its cost per 1 kg​

Answer 1

Answer:

Convert 121 1/2 into improper fraction by using this Rule

a b/c=a*c+b/c

121*2+1/2

242+1/2

243/2.

Next convert the 3 3/4 to improper fraction by using above Rule

we get 15/4.

243/2 ÷15/4

Use this Rule

a÷b/c= a*c/b

243/2*4/15

Use this Rule

a/b*c/d=ac/bd

243*4/2*15

972/2*15

972/30

162/5

32.40

Therefore cost per 1 kg = 32.40

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Answer 2

3 1/2 kg of sugar costs 63 rupees

3 1/2 kg = 7/2 kg

We want to find out how much 1 3/4 kg of sugar costs. Let's call this amount x.

1 3/4 kg = 7/4 kg

We can form an equation of proportions:

(7/4 kg) / (7/2 kg) = (x rupees)/(63 rupees)

(7/4) / (7/2) = (7/4)*(2/7) = 1/2

So, 1/2 = x/63

This yields

x = 63/2 = 31.5 rupees through cross multiplication

So, 1 3/4 kg of sugar costs 31.5 rupees.