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What must be added to the numbers 10, 20, 30 and 50 so that

Home » Aptitude » Ratio, Proportion » Question
  1. What must be added to the numbers 10, 20, 30 and 50 so that the sums are proportional ?
    1. 15
    2. 12
    3. 10
    4. 8
Correct Option: C

Let x be added in each number to make them proportional.
∴  10 + x : 20 + x :: 30 + x : 50 + x
⇒  (10 + x ) (50 + x )
= (20 + x ) (30 + x )
⇒  500 + 50 x + 10x + x2
= 600 + 20x + 30x + x2
⇒  500 + 60x + x2
= 600 + 50x + x2
⇒  60x – 50x = 600 – 500 = 100
⇒  10x = 100
⇒  x =
100
= 10
10



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