Question

21. A man has Rs.10,000, which he divided among his two sons Raghu and Raju in the
ratio 2:3. Find the share of Raghu and Raju.​

Answer 1

Answer:

4000 and 6000 respectively

Answer 2

Solution:-

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$\large\to{\underbrace{\underline{\sf{Understanding\:the\:concept:-}}}}$

$\implies$ Here it is given in the question that a man has Rs.10,000, which he divided among his two sons Raghu and Raju in the ratio 2:3. Now the question has asked us to find out the share of Raghu and Raju.

⛤ HOW TO DO:-

$\to$ To find the share of Raghu and Raju, first of all we need to assume Raghu's share as 2x and Raju's share as 3x. Then after by forming an equation and solving it we will get the value of x. Then by multiplying the value of x with the ratio of Raghu's share and Raju's share we will get the amount of money they will get. Follow the steps below for answer.

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ANSWER:-

❍ Raghu's share is of Rs. 4000.

❍ Raju's share is of Rs. 6000.

GIVEN:-

➤ Money the man has = Rs. 10,000

➤ Ratio of their shares = 2:3

TO FIND:-

• Here we have to find the amount of money divided among them.

SOLUTION:-

• Let's assume Raghu's share as 2x.
• Let's assume Raju's share as 3x.
• Total money is 10,000.

We know that the equation will be:-

$\purple{\ast} \: \underline{ \boxed{ \rm \green{10000 = 2x + 3x}}}$

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So let's solve it!

• Finding the value of x:-

$\dashrightarrow\tt{10000 = 2x + 3x}$

$\dashrightarrow\tt{10000 = 5x}$

$\dashrightarrow \tt{Transposing \: 5 \: to \: L.H.S.}$

$\dashrightarrow\tt{ \dfrac{10000}{5} = x}$

$\dashrightarrow \tt{Cancelling \: the \: terms.}$

$\dashrightarrow \tt{ \dfrac{\not1 \!\!\!\not0 \!\!\!\not0 \!\!\!\not0\!\!\! \not0\!\!\! \: \: \: }{ \not5} = x}$

$\dashrightarrow \tt{ \dfrac{2000}{1} = x}$

$\dashrightarrow \tt{2000 = x}$

$\pink{\bigstar} \: \underline{ \boxed{ \rm \green{x = 2000}}}$

Thus, we got the value of x.

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• As we got the value of x now we can find the amount of money they got by multiplying the value of x with the respective terms of their ratios.

• Finding Raghu's share:-

➤ 2x = 2 × x

➤ 2 × 2000

➤ 2 × 2000 = 4000

➤ Rs. 4000

Thus, we got Raghu's share.

• Finding Raju's share:-

➤ 3x = 3 × x

➤ 3 × 2000

➤ 3 × 2000 = 6000

➤ Rs. 6000

Thus, we got Raju's share.

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VERIFICATION:-

• There are 2 ways to verify.

1. Cancellation:- By cancelling Raghu's and Raju's share. (After cancelling the shares of we get 2/3 that means our answer is correct as Raghu's share ratio was 2 and Raju's share ratio was 3.)
2. Addition:- By adding the amount of money both get. (After adding if we got 10,000 that means our answer is correct as the total money was 10,000.)

• By cancellation:-

➤ Raghu's share / Raju's share

➤ 4000 / 6000

➤ Cancelling the zeros.

➤ 4 / 6

➤ Cancelling the terms by 2.

➤ 2 / 3

Hence, checked by cancellation.

• By addition:-

➤ Raghu's share + Raju's share

➤ 4000 + 6000

➤ 4000 + 6000 = 10,000

➤ 10,000

Hence, checked by addition.

Hence, verified by both the methods.

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