Question

A sum of 1,60,000 is divided in the ratio of 3:5. What is the smaller share? ​

Answer 1

Answer:

$\sf\huge\orange{\underbrace{\blue{Answer↓}}}:$

$\huge{\fcolorbox{gold}{Red}{60,000}}$

Step-by-step explanation:

$\huge \underline \mathfrak\color{red} {Given,}$

Total money = 1,60,000

Ratio in which it is divided = 3:5

$\huge \underline \mathfrak\color{red} {To\:Find,}$

Amount of the smaller share

$\huge \underline \mathfrak\color{red} {Procedure,}$

$total \: parts = 3 + 5 \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 8$

Let the shares be 3x and 5x respectively.

$3x + 5x = 160000$

$8x = 160000$

$x = \frac{160000}{8}$

$x = 20000$

Therefore, x = 20,000

$3x = 3 \times 20000 \\ = 60000$

$5x = 5 \times 20000 \\ = 100000$

Therefore, smaller share is 60,000

Answer 2

$= sum \: 1,60,000 \: is \: divided \: in \: the \: \\ ratio \: of \: 3:5$

$3:5 = 8$

$= \frac{3}{8} \times 1,60,000$

$= 3 \times 20,000$

$= 60,000$

$= \frac{5}{8} \times 1,60,000$

$= 5 \times 20,000$

$= 1,00,000$

$Ratios \: are :60,000 \: and \: \: 1,00,000$