Question

A's share in profit is 25% more than that of B, whose share is 20% more than that of C. By how much percent is A's share greater than C'​

Answer 1

A = 1.25 B

B = 1.20 C

A = 1.25 x 1.20 C = 1.50

A’s income is 50% more than that of C

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Answer 2

A's share is 50% greater than C's share.

Step-by-step explanation:

Since we have given that

A's share = 25% more than that of B

So, A = 1.25 times B

$\dfrac{A}{B}=\dfrac{125}{100}=\dfrac{5}{4}$

B's share = 20% more than that of C

So, B = 1.20 times C

$\dfrac{B}{C}=\dfrac{120}{100}=\dfrac{6}{5}$

So, Ratio would be

A   :     B       :     C

5    :     4

           6      :      5

-----------------------------------

30  :      24    :   20

15   :      12     :    10

So, Percentage that A's share is greater than C's is given by

$\dfrac{5}{10}\times 100\\\\=50\%$

Hence, A's share is 50% greater than C's share.

# learn more:

Rs 395 are divided among A B and C in such a manner that B gets 25% more than A and 20% more than C. The share of A is ?

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