Question

divide ₹9560 among a,b,c in the ratio 2:4:2​

Answer 1

Answer:

2390, 4780, 2390

Step-by-step explanation:

Given that a:b:c=2:4:2

⇒ 2a=4b=2c

a+b+c=9560

2+4+2=9560

8=9560

⇒a=$\frac{2}{8}$× 9560=2390

∴a=2390

⇒b=$\frac{4}{8}$×9560=4780

∴b=4780

⇒c=$\frac{2}{8}$× 9560=2390

∴c=2390

Check

2390+ 4780+ 2390=9560[correct!]

Answer 2

As per the data given in the question,

We have to divide 9560 into three parts such that the amount obtained by a, b and c are in ratio of 2:4:2

So, let us assume that,

The share of a, b and c are $2x, 4x\:and\:2x$

So, total share of a, b and c will be $2x+4x+2x = 8x$

As 9560 is distributed among a,b and c.

So, we can say that, 8x should be equal to 9560.

So, after solving the equation, we will get it as,

$8x = 9560\\=>x=\frac{9560}{8} = 1195$

Hence, share of a, b and c will be as follows,

$a = 2x = (2\times 1195) = Rs.\:2390\\b =4x = (4\times 1195) = Rs.\:4780\\c = 2x= (2\times 1195) = Rs.\:2390$