Question

A sum of rs.427 is to be divided among a,b and c such that 3 times a's shares, 4 times b's share and 7 times c's share are all equal. The share of c is?

Answer 1

Answer:

Step-by-step explanation:

Answer 2

The share of c is Rs 84

Step-by-step explanation:

Given as :

The sum of money to be divided = Rs 427

The money is divided among a , b , c

Let The share amount of a = Rs x

   The share amount of b = Rs y

   The share amount of c = Rs z

i.e    x + y + z = Rs 427

According to question

3 times a's shares = 4 times b's share = 7 times c's share

i.e 3 x = 4 y = 7 z

Or,   x = $\dfrac{4}{3}$ y                .......1

And z = $\dfrac{4}{7}$ y                 .......2

Now,  $\dfrac{4}{3}$ y + y + $\dfrac{4}{7}$ y = 427

Or, $\dfrac{28+12+21}{21}$ y = 427

Or, $\dfrac{61}{21}$ y = 427

∴         y = $\dfrac{427\times 21}{61}$

i.e       y = Rs 147

So, The share of b = y = Rs 147

Put the value of y in eq 1 and eq 2

i.e    x = $\dfrac{4}{3}$ y        

or,    x = $\dfrac{4\times 147}{3}$

∴      x = Rs 196

So, The share of a = x = Rs 196

And z = $\dfrac{4}{7}$ y  

Or,   z = $\dfrac{4\times 147}{7}$

∴      z = Rs 84

So, The share of c = z = Rs 84

Hence, The share of c is Rs 84   Answer