Question

rs 350 is to be divided amongst Amar, Akbar, Anthony, so that Amar gets 2 part, Akbar
3 parts and Anthony 5 parts. How much money will each get? What will it be in
percentages?
​

Answer 1

Answer :-

• Amar got Rs 70, Akbar got Rs 105 and Anthony got Rs 175.

• Amar got 20%, Akbar got 30% and Anthony got 50% of the money.

Given :-

• Rs 350 is to be divided amongst Amar, Akbar and Anthony so that Amar gets 2 parts, Akbar 3 parts and Anthony 5 parts.

To find :-

• The amount of money each of them will get.
• Their share in percentages.

Step-by-step explanation :-

In this question, it has been given that Rs 350 is to be divided amongst Amar, Akbar and Anthony. Out of that, Amar should get 2 parts, Akbar should get 3 parts and at last, Anthony should get 5 parts. So, for this, we have to find the total number of parts, and then we can divide the money among them easily. After that, to find their share in percentage, we will divide their money with the original money and then multiply it with 100 to get our answer.

Calculations :-

• Amar's share = 2 parts.
• Akbar's share = 3 parts.
• Anthony's share = 5 parts.

• Therefore, the total number of parts = 2 + 3 + 5 = 10 parts.

• Now, that means, out of 10 parts, Amar gets 2 parts, Akbar gets 3 parts and Anthony gets 5 parts.

So, the share of each of them is as follows :-

• $\sf Amar's \: share = \dfrac{2}{10} \times 350 = 70.$

• $\sf Akbar's \: share = \dfrac{3}{10} \times 350 = 105.$

• $\sf Anthony's \: share = \dfrac{5}{10} \times 350 = 175$

Now, we have to find their money in percentage.

Let's use the formula given below :-

$\underline{\boxed {\rm\dfrac{Value \: obtained}{Total \: value} \times 100 = \%}}$

Applying the formula, we get :-

• $\sf Amar's \: share = \dfrac{70}{350} \times 100 = 20\%.$

• $\sf Akbar's \: share = \dfrac{105}{350} \times 100 = 30\%.$

• $\sf Anthony's \: share = \dfrac{175}{350} \times 100 = 50\%$