Question

19. Three men P, Q and R do a work jointly and earn a total of 12,600. Find the share of each
person, if the money has to be divided in the ratio 13:27:23 between P, Q and R.​

Answer 1

Given :

• Three men P, Q and R do a work jointly and earn a total of 12,600.

• Ratio is 13:27:23.

Have to Find :

• Find the money has to be divided in the ratio 13:27:23 between P, Q and R.

Solution :

First we will consider the money three of them have in terms of variables and then we will simply find our answer.

As from the given we know that,

• Total money → 12,600

Let us we consider the money divided between three of them be 13x , 27x and 23x respectively.

Now, According to the Question :

$:\implies\sf{13x + 27x + 23 = 12,600}$

$:\implies\sf{63x = 12600}$

$:\implies\bf{x = \dfrac{12600}{63}}$

$\sf \longrightarrow \: x \: = {\dfrac{ \cancel{12600}^{ \: \: 200} }{ \cancel{63}^{ \: \: 1} } \: }$

$\boxed{\therefore{\sf{x = 200}}}$

Therefore, Now

• Money ' p' has = 13 x

$\longrightarrow$13 × 200

$\longrightarrow$2600 Rs

$:\implies \underline{\boxed{\sf Money \: P \: has = 2600 \:Rs}}$

• Money ' q ' has = 27x

$\longrightarrow$27 × 200

$\longrightarrow$5400 Rs

$:\implies \underline{\boxed{\sf Money \: Q \: has = 5400 \:Rs}}$

• Money ' r ' has = 23x

$\longrightarrow$23 × 200

$:\implies \underline{\boxed{\sf Money \: R \: has = 4600 \:Rs}}$

${\underline{\sf{Verification}}}$

$\dashrightarrow\:\:\sf 2600 + 5400 + 4600 = 12,600$

$\dashrightarrow\:\:\sf 12,600 = 12,600$

$\dashrightarrow\:\:\sf L.H.S = R.HS$

Verified !!