Question

A sum of rs 86, 700 is to be divided among a, b and c in such a manner that for every rupee that a gets, b gets 90 paise and for every rupee that b gets. C gets 100 paise. B's share will be

Answer 1

Answer:

Share of b is:

₹ 27867.85

Step-by-step explanation:

It is given that:

A sum of rs 86, 700 is to be divided among a, b and c in such a manner that for every rupee that a gets, b gets 90 paise and for every rupee that b gets,c gets 100 paise.

that means if a gets 1 rs then b gets 90/100 rs.

and if b gets 1 rs then c gets 1 rs.

Hence, the proportion of money each gets is:

$1:\dfrac{9}{10}:\dfrac{9}{10}$

Also it could be written as:

$10:9:9$

i.e. Let a gets=10x

b gets=9x

and c gets=9x.

Hence, total amount to be divided=₹ 86700

i.e. 10x+9x+9x=86700

28x=86700

$x=\dfrac{86700}{28}$

share of b is: 9x

                 $=9\times \dfrac{86700}{28}\\\\=27867.85$

Hence share of b is: ₹ 27867.85.