Question

What is Hari ’s  share percent  and amount when  ₹ 500 is shared among Raghu, Hari and Suresh in the ratio  2 : 5 : 3 ?

Percentage -20%, Amount ₹50

Percentage – 50%, Amount  ₹250

Percentage – 30%, Amount ₹70

Percentage -30% , Amount ₹75​

Answer 1

Answer:

Percentage – 50%, Amount  ₹250

Step-by-step explanation:

Hari ’s  share percent  and amount when  ₹ 500 is shared among Raghu, Hari and Suresh in the ratio  2 : 5 : 3

is

Percentage – 50%, Amount  ₹250

Answer 2

★ How to do :-

Here, we are given with the total amount that should be divided by three children in the ratio of 2:5:3. We are asked to find the Hari's shares percentage. So, first we should find the amount value of Hari's shares by using the concepts of variables and transportation of numericals. So, first we will find the shares of Hari by using the total amount and the ratio given. Then, we can find the percentage of the same by using the given formula at last.

$\:$

➤ Solution :-

${\tt \leadsto 2:5:3 = 500}$

${\tt \leadsto 2x + 5x + 3x = 500}$

${\tt \leadsto 10x = 500}$

${\tt \leadsto x = \dfrac{500}{10}}$

${\tt \leadsto x = 50}$

$\:$

Now, find the shares of Hari by multiplying his part of ratio by the value of x.

Shares of Hari :-

${\tt \leadsto 5x = 5 \times x}$

${\tt \leadsto 5 \times 50}$

${\tt \leadsto Rs \: \: 250}$

$\:$

Now, we will apply the percentage formula and substitute the values given and then find the percentage.

${\tt \leadsto \dfrac{250}{500} \times 100}$

${\tt \leadsto \cancel \dfrac{250}{500} \times 100 = \dfrac{1}{2} \times 100}$

${\tt \leadsto \dfrac{1 \times 100}{2} = \dfrac{100}{2}}$

${\tt \leadsto \cancel \dfrac{100}{2} = \boxed{\tt 50 \bf\%}}$

$\Huge\therefore$ The option (B) is the correct answer.

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More to know :-

The formula applied to calculate percentage is

${\tt \longrightarrow \dfrac{Obtained \: value}{Total \: value} \times 100}$