Question

A sum of money is divided between Ram and Shyam in ratio 4 : 3. If the share of Shyam is Rs 2400. Find the total amount​

Answer 1

Answer:

Total amount : ₹5,600

Explanation :

Given ratio :

The share of a sum of money between Ram & Shyam is 4 : 3

Or,

→ Ram : Shyam = 4 : 3

Let's take the common ratio as $x$

Therefore,

• Ram's share would be : $4x$
• And Shyam's is : $3x$

But,

Shyam's share is 2400 (given)

According to the question,

$\implies 3x = 2,400$

$\implies x = \dfrac{2400}{3}$

$\implies x = 800$

$\therefore \sf The \: common \: ratio \: is \: 800$

Hence,

Ram's share is : $4x = \sf 4(800) = 3,200$

${\therefore \sf Required \: amount = 3,200 + 2,400 = ₹5,600}$

Answer 2

Answer:

Given:

Mother divided money among RAM, SHYAMU and MEENA in the ratio of 2: 3: 5.

And, MEENA got 150 rupees.

To find:

We've to find out the total amount of money received by both of them Ram and Shyamu.

Solution: Let the money divided by mother among Ram, Shyamu and Meena be 2x, 3x and 5x respectively.

A/Q,

After dividing money b/w Ram, Shyamu and Meena. Meena got 150 rupees. Therefore,

$:\implies\sf 5x = 150 \\\\\\:\implies\sf x = \cancel\dfrac{150}{5} \\\\\\:\implies{\boxed{\underline{\frak{\purple{30}}}}}\:\bigstar$

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T O T A L⠀ A M O U N T :

$:\implies\sf Ram : Shyamu : Meena \\\\\\:\implies\sf 2x + 3x + 5x \\\\\\:\implies\sf 2(30) + 3(30) + 5(30) \\\\\\:\implies\sf 60 + 90 + 150 \\\\\\:\implies\sf{\boxed{\underline{\frak{\pink{300}}}}}\;\bigstar$

Hence,

Money received by Ram, 2x = 2(30) = 60 rupees.

Money received by Shyamu, 3x = 3(30) = 90 rupees.

$\therefore{\underline{\sf{Hence, \: money \: received \: by \: Ram \: and \: Shyamu \: is \: \pmb{60\;\&\;90\;rupees}.}}}$

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