Question

14. Rs.99,000 is to be divided between A, B and C. The ratio of share of A and B is 3 : 7. The share of B is 5/7th the share of C. What is the difference between shares of A and C?

Answer 1

Answer:

Find out LCM of 3,9,27 without using any method. Write in the box.

Step-by-step explanation:

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Answer 2

Answer:

The difference between shares of A and C = 34000

Step-by-step explanation:

Given,

99000 is divided between A, B, and C

The ratio of shares A and B = 3:7

The share of B = $\frac{5}{7}$ × share C

To find,

The difference between the shares of A and C.

Solution:

Given, The ratio of shares A and B = 3:7

Share of A = 3x and Share of B = 7x

Let the share of C be 'y'

Then we have,

3x+7x+y = 99000

10x + y = 99000

y = 99000 - 10x -------------(1)

Also given,

The share of B = $\frac{5}{7}$ × share C

7x =  $\frac{5}{7}$ × y

y = $\frac{49}{5} x$ -----------------(2)

Comparing equations (1) and (2) we get,

99000 - 10x = $\frac{49}{5} x$

49x = 5(99000 - 10x)

49x = 5×99000 - 50x

49x+50x  = 5 ×99000

99x = 5 ×99000

x = $\frac{5 X 99000}{99}$ = 5000

∴x = 5000

A's share  = 3x = 3 × 5000 = 15000

∴A's share  =  15000

C's share = y =$\frac{49}{5} x$ (from equation(2))

= $\frac{49}{5} X 5000$

= 49000

∴C's share  = 49000

C's share  - A's share  = 49000 - 15000 = 34000

∴ The difference between shares of A and C = 34000

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