Question

Mrs Banerjee was divide rupees 28000 between his son and daughter in the ratio of 1 upon 3 ratio 1 upon 4 find each one share​

Answer 1

Answer:

Son received Rs. 16000 and daughter received Rs. 12000.

Step-by-step explanation:

Given :

Total amount = Rs. 28000

Son received = $\dfrac{1}{3}$ part

Daughter received = $\dfrac{1}{4}$ part

To find :

Share of each

Solution :

Let the part received by each be -

• Son = $\dfrac{1}{3}$x
• Daughter = $\dfrac{1}{4}$x

★ $\green{\boxed{\green{\boxed{\red{\sf{\frac{1}{3}x + \frac{1}{4}x = 28000}}}}}}$

$\rm{\implies} \: \frac{1}{3}x + \frac{1}{4}x = 28000 \\\rm{\implies} \: \frac{3x + 4x}{12} = 28000 \\ \rm{\implies} \: \frac{7x}{12} = 28000 \\ \rm{\implies} \:7x = 28000 \times 12 \\ \rm{\implies} \:7x = 336000 \\\rm{\implies} \:x = \frac{336000}{7} \\ \rm{\implies} \:x = 48000$

$\rule{300}{1.5}$

★ Value of $\dfrac{1}{3}$x

$\rm{\implies} \: \frac{1}{3} \times 48000 \\ \rm{\implies} \: 16000$

Son received = Rs. 16000

$\rule{300}{1.5}$

★ Value of $\dfrac{1}{4}$x

$\rm{\implies} \: \frac{1}{4} \times 48000 \\ \rm{\implies} \: 12000$

Daughter received = Rs. 12000

$\therefore$ Son received Rs. 16000 and daughter received Rs. 12000.

Answer 2

$\huge{\mathfrak{\green{S}}}{\mathfrak{o}}{\mathfrak {\orange {l}}}{\mathfrak{\red{u}}}{\mathfrak {\pink {t}}}{\mathfrak{\blue{i}}}{\mathfrak{\purple {o}}}{\mathfrak {\gray {n}}}$

According to the given question:-

• Mrs Banerjee was divide rupees 28000 between his son and daughter in the ratio of 1 upon 3 ratio 1 upon 4.

• We have to find the share of son and the daughter.

• Let 1/3y be the amount recived by the son and let 1/4y be the amount recived by the daughter.

So,

$\sf⟶ \frac{1}{3} y + \frac{1}{4} y = 28000$

$\sf⟶ \frac{1}{3} y + \frac{1}{4} y = 28000$

$\sf⟶ \frac{1}{3} y + \frac{1}{4} y = 28000$

$\sf ⟶\frac{3y + 4y}{12} = 18000$

$\sf⟶\frac{7y}{12} = 28000 \times 12$

$\sf⟶7y = 336000$

$\sf⟶y = \frac{336000}{7}$

$\sf⟶= 48000$

1/3 value (For Son)

$\bf⟶ \frac{1}{3} y \times 48000$

$\bf⟶16000$

1/47 value (For Daughter)

$\bf⟶ \frac{1}{4} y \times 48000$

$\bf⟶= 12000$

Therefore ,

• 16,000 is the amount share of son.

• 12,000 is the amount share of daughter.