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Question
Which of the following options are correct?
Options:
A .  4 kg : 20 kg :: ₹ 50 : ₹ 250
B .  2 dozens : 3 dozens :: ₹ 40 : ₹ 80
C .  8 liters : 15 liters :: ₹ 25: ₹ 50
D .  2 km : 3 km :: 1m : 2m
Answer: Option A
:
A
Ratios are in proportion if they are equal or equivalent. This can be verified by using the product of means and product of extremes.
In a: b :: c: d;'b' and 'c' are means and 'a' and 'd' are extremes.
For 4 kg : 20 kg :: 50 : 250
Product of means = 20 × 50 = 1000
Product of extremes = 4 × 250= 1000

So, this is in proportion.
For2 dozens : 3dozens :: 40 : 80
Product of means = 3× 40 = 120
Product of extremes = 2 × 80 = 160

So, this is not in proportion.
For 8 liters : 15liters :: 25 : 50
Product of means = 15× 25 = 375
Product of extremes = 8 × 50 = 400

So, this is also not in in proportion.
For 2km: 3 km:: 1 m: 2m
Product of means = 3× 1= 3
Product of extremes = 2× 2= 4

So, this is also not in in proportion.

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