Question

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 ?

Answer 1

since b gets 25% more than a.

so, b = 125/100 a

also b gets 20 % more than c.

so, b = 120/100 c

also b = b

125/100a = 120/100c

125a = 120c

a = 120c/125

c = 125a/120

and

$a + \frac{125}{100} a + \frac{125}{120} a = 395 \\ a + \frac{5}{4} a + \frac{25}{24} a = 395 \\ \frac{24a + 30a + 25a}{24} = 395 \\ 79a = 395 \times 24 \\ a = \frac{395 \times 24}{79} \\ a = 5 \times 24 \\ a = 120 \\ so \: b = \frac{125}{100} a = \frac{125}{100} \times 120 = 150 \\ and \: c \: = \frac{125}{120} a = \frac{125}{120} \times 120 = 125$

hope it helps u.

Answer 2

A's share is Rs.120

Step-by-step explanation:

Let the salary of A , B and C be a,b and c

We are given that B gets 25% more than A

So, b = $a+25\%a=a+\frac{25}{100}a=1.25a$

$a=\frac{b}{1.25}$

We are also given that B gets 20% more than C

So, b = $c+20\%c=c+\frac{20}{100}c=1.2c$

$c=\frac{b}{1.2}$

Rs 395 are divided among A B and C

So, $\frac{b}{1.25}+b+\frac{b}{1.2}=395$

b = 150

So, A's share = $a=\frac{b}{1.25}=\frac{150}{1.25}=120$

Hence A's share is Rs.120

#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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