Question

24. Divide Rs.4720 among a, b and c so that a:b =
3:4 and b:c = 5:6.
A. 1200, 1600, 1920
B. 1600, 1200, 1920
C. 1920, 1200, 1620
D. 1200, 1920, 1600​

Answer 1

Answer:

Please see the attachment.Did you satisfy from my answer?

Answer 2

Dividing Rs. 4720 among a , b , c they get Rs. 1200 , Rs. 1600 , Rs. 1920 respectively

Given :

The amount Rs. 4720

To find :

Divide Rs. 4720 among a, b and c so that a : b = 3 : 4 and b : c = 5 : 6.

A. 1200 , 1600 , 1920

B. 1600 , 1200 , 1920

C. 1920 , 1200 , 1620

D. 1200 , 1920 , 1600

Solution :

Step 1 of 3 :

Find a : b : c

Here it is given that

a : b = 3 : 4 and b : c = 5 : 6.

Now we have ,

a : b = 3 : 4 = 15 : 20

b : c = 5 : 6 = 20 : 24

∴ a : b : c = 15 : 20 : 24

Step 2 of 3 :

Form the equation

We have to divide Rs. 4720 among a , b , c

Let a , b , c get Rs. 15x , Rs. 20x and Rs. 24x respectively

Then by the given condition

15x + 20x + 24x = 4720

Step 3 of 3 :

Find the amounts

15x + 20x + 24x = 4720

⇒ 59x = 4720

⇒ x = 4720/59

⇒ x = 80

Amount a gets = Rs. 15x = Rs. (15 × 80) = Rs. 1200

Amount b gets = Rs. 20x = Rs. (20 × 80) = Rs. 1600

Amount c gets = Rs. 24x = Rs. (24 × 80) = Rs. 1920

So dividing Rs. 4720 among a , b , c they get Rs. 1200 , Rs. 1600 , Rs. 1920 respectively

Hence the correct option is A. 1200 , 1600 , 1920

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