Question

Please solve the sum A man leaves Rs 185378 to be divided between his son and daughter in ratio given in pic Find the amount each receives

Answer 1

Concept Introduction:-

It might resemble a word or a number representation of the quantity's arithmetic value.

Given Information:-

We have been given that A man leaves Rs $185378$ to be divided between his son and daughter in ratio $5\frac{2}{3}:2\frac{1}{5}$

To Find:-

We have to find that the amount each receives

Solution:-

According to the problem

The ratio which is given between son and daughter

$=5\frac{2}{3}:2\frac{1}{5}\\=\frac{17}{3}:\frac{11}{5}\\=\frac{17\times 5}{3\times 5}:\frac{11\times 3}{5\times 3}\\=\frac{85}{15}:\frac{33}{15}\\=85:33$

Let the money received by son is $85x$ and  the money received by the daughter is $33x$

Total money$=85x+33x=118x$

$\therefore 118x=185378\\x=\frac{185378}{118}\\=1571$

The amount received by son$=85x=85\times 1571=133535$ and the amount received by daughter$=33x=33 \times 1571=51843$

Final Answer:-

The correct answer is the amount each receives is  Rs $133535$ and Rs $51843$.

#SPJ2

Answer 2

Concept

In mathematics, ratio means how many times one number contains the other

Given

1) Total money man leaves = Rs. 185378

2) Ratio of money divided between son and daughter is 5 2/3  :  2 1/5

Find

The amount both received

Solution

Money = 18537

5 2/3 = 17/3

2 1/5= 11/5

Ratio is 17 *5 /3 *5  :  11 *3/5*3

Ratio is 85 : 33

Let the money recived by son is 85x, So the money received by daughter is 33x

85x + 33x = 185378

118x = 185378

x = 185378/118

x = 1571

Son = 85 * 1571 = 133535

Daughter = 33 * 1571 = 51843

The money received by son is Rs. 133535 and money received by daughter is Rs. 51843

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