Question

A sum of rupees 731 /- is divided among A,B and C such that A receive 25% more than B and B receives 25% less than C .What is "C"share in the amount?

Answer 1

Answer:

Share of C is 272 Rs.

Step-by-step explanation:

To solve such questions, assume that C receive x rupees.As A received 25% more than B

So B received : x-25% of x

$= x - \frac{25x}{100} \\ \\ = \frac{75x}{100}$

A received 25% more than B: 75x/100+25% of 75x/100

$= \frac{75x}{100} + \frac{25 \times 75x}{10000} \\ \\ = \frac{9375x}{10000}$

So,

$x + \frac{75x}{100} + \frac{9375x}{10000} = 731 \\ \\ \frac{10000x + 7500x + 9375x}{10000} = 731 \\ \\ 26875x = 7310000 \\ \\ x = \frac{7310000}{26875} \\ \\ x = \frac{731}{3} \\ \\ x = 272$

Share of C is 272 Rs.

Hope it helps you.

Answer 2

Answer:

C's share is Rs.272.

Step-by-step explanation:

To find the share amount of C, first we have to calculate the share of A and B with the given data.

The total amount = Rs 731.

A received 25% more than B.

Hence, A received  $=\frac{100+25}{100} \times B$

$\Rightarrow \frac{A}{B}=\frac{125}{100}=\frac{5}{4}$

And, B receives 25% less than C.

Hence, B received =  $\frac{100-25}{100} \times C$

$\Rightarrow \frac{B}{c}=\frac{75}{100}=\frac{3}{4}$

Hence, A:B = 5:4  and  B:C = 3:4

A:B = 15:12          B:C = 12:16

So, A:B:C = 15:12:16.

Thus, C’s share $\begin{array}{l}{=\frac{16}{15+12+16} \times R s 731=\frac{16}{43} \times R s 731} \\ {=16 \times \mathrm{Rs} 17=\mathrm\bold{{Rs} 272}}\end{array}$