Question

Divide rupees 74000 among three friends A, B and C such that a is to b is equal to 4 is to 5 and b is to C is equal to 3 is to 2

Answer 1

Answer:

$\text{A's share =}Rs.24000$

$\text{B's share =}Rs.30000$

$\text{C's share =}Rs.20000$

Step-by-step explanation:

Given amount is Rs. 74000

A:B=4:5 and B:C=3:2

A:B=12:15 and B:C=15:10

A:B:C=12:15:10

Now,

$\text{A's share =}\frac{12}{37}\times74000$

$\text{A's share =}12\times2000$

$\implies\:\boxed{\text{A's share =}Rs.24000}$

$\text{B's share =}\frac{15}{37}\times74000$

$\text{B's share =}15\times2000$

$\implies\:\boxed{\text{B's share =}Rs.30000}$

$\text{C's share =}\frac{10}{37}\times74000$

$\text{C's share =}10\times2000$

$\implies\:\boxed{\text{C's share =}Rs.20000}$