Question

25
When Rs 1500 is divided among 3 persons in the ratio of 3:4:8, then the share of the three
persons is-
a) 800, 200 & 500 b) 400, 300 & 800 c) 300, 400 & 800 d) 800, 400 & 300
*******​

Answer 1

$\mathfrak{\large{\underline{\underline{Answer :- }}}}$

Option c)

Rs. 300, Rs. 400 and Rs. 800

The shares are Rs. 300, Rs. 400 and Rs. 800

$\mathfrak{\large{\underline{\underline{Explanation :-}}}}$

Given :

Money = Rs. 1500

Ratio of division = 3 : 4 : 8

To find :

The share of each person

Solution :

Consider the shares as :

• 3x
• 4x
• 8x

★ $\boxed{\sf{3x+4x+8x=1500}}$

$\sf{\implies} \: 3x + 4x + 8x = 1500$

$\sf{\implies} \: 3x + 12x = 1500$

$\sf{\implies} \: 15x = 1500$

$\sf{\implies} \: x = \dfrac{1500}{5}$

$\sf{\implies} \: x = 100$

$\rule{300}{1.5}$

★ Value of 3x

$\sf{\implies} \: 100\times 3$

$\sf{\implies} \: 300$

★ Value of 4x

$\sf{\implies} \: 100 \times 4$

$\sf{\implies} \: 400$

★ Value of 8x

$\sf{\implies} \: 100 \times 8$

$\sf{\implies} \: 800$

$\rule{300}{1.5}$

$\therefore$ The shares are Rs. 300, Rs. 400 and Rs. 800

The answer is

Option c)

Rs. 300, Rs. 400 and Rs. 800

Answer 2

Answer:

$\huge{\underline{\overline{\color{darkblue}{\bf{\mid{AngelicDoll}\mid}}}}}$

Let

ratios

3x + 4x + 8x = 1500

3x + 12x = 1500

15x = 1500

x = $\frac{1500}{15}$

x = $\bf\pink{100}$

$\bf{Put~x~value~in~above~ratios}$

ℒℴѵℯ❤ Share of 1st person

→ 3x = 3 ( 100 ) => 300

ℒℴѵℯ❤ Share of 2nd person

→ 4x = 4 ( 100 ) => 400

ℒℴѵℯ❤ Share of 3rd person

→ 8x = 8 ( 100 ) => 800

300 , 400 and 800 ≈ 300:400:800

$\bold\bf\pink{c) ~300~, ~400~, ~and~800}$

$\huge\bold\green{Option~c) ~is~correct}$