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Doctors Medicines MCQs Q&A

Rs. 2000 were divided between A, B and C such that A’s share is 15% more than C’s share. If A gave 10% of his share to B, then B has 5% less than C’s share. A’s share is approximately what percentage more than B’s share?

Rs. 2000 were divided between A, B and C such that A’s share is 15% more than C’s share. If A gave 10% of his share to B, then B has 5% less than C’s share. A’s share is approximately what percentage more than B’s share? Correct Answer 38%

GIVEN :

Rs. 2000 were divided between A, B and C

A’s share is 15% more than C’s share,

If A gave 10% of his share to B, then B has 5% less than C’s share.

 

CONCEPT :

Percentage

 

CALCULATION :

⇒ A’s share = C’s share + 15% of C’s share

⇒ A’s share = 1.15 × C’s share           …(1)

Also, if A gave 10% of his share to B, then B has 5% less than C’s share,

⇒ 10% of A’s share + B’s share = C’s share – 5% of C’s share

⇒ 0.1 × A’s share + B’s share = 0.95 × C’s share

⇒ 0.1 × A’s share + B’s share = 0.95 × C’s share

⇒ C’s share = (0.1/0.95) × A’s share + (1/0.95) × B’s share

⇒ C’s share = 0.105 × A’s share + 1.05 × B’s share

Substituting in (1) ,

⇒ A’s share = 1.15 × (0.105 × A’s share + 1.05 × B’s share)

⇒ A’s share = 0.121 × A’s share + 1.21 × B’s share

⇒ 0.879 × A’s share = 1.21 × B’s share

⇒ A’s share = 1.377 × B’s share

⇒ A’s share = B’s share + 0.377 × B’s share

⇒ A’s share = B’s share + 38% × B’s share

Hence, A’s share is 38% more than B’s share.

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