Question

If Rs. 250 is to be divided among Ravi, Raju and Roy, so that Ravi gets two parts, Raju gets three parts and Roy gets five parts. How much money will each get? What will it be in percentages?

Answer 1

Hint: Here, you have to find total parts by adding each part of Raju, Ravi and Roy. By getting the total part we must find the individual part of everyone by dividing each part with the total part we get. After finding this, we will find money received by each of them simply by multiplying it with 250. And the money received is then to be divided by total amount 250 to get the percentage answer.

Complete step-by-step solution -
Here, we are given a total Rs. 250 which is to be divided among Ravi, Raju and Roy in the given parts.
So, let’s take Ravi gets two parts which we can write as 2 parts. Similarly, Raju gets three parts i.e. 3 parts and Roy gets five parts i.e. 5 parts.
So total parts $=2+3+5=10$
Now, finding fraction for each part, we get
Ravi gets $=\dfrac{2}{10}=\dfrac{1}{5}$
Raju gets $=\dfrac{3}{10}$
Roy gets $=\dfrac{5}{10}=\dfrac{1}{2}$
Now we will find money for each of these three. We get,
Ravi’s money $=\dfrac{1}{5}\times 250=50$ Rs.
Raju’s money $=\dfrac{3}{10}\times 250=75$ Rs.
Roy’s money $=\dfrac{5}{10}\times 250=125$ Rs.
Now, finding the percentage of the money each one received. We get as $\%=\dfrac{\text{money received}}{\text{total amount}}\times 100$ . So, substituting the values in it we get,
Ravi’s percentage $=\dfrac{50}{250}\times 100=\dfrac{1}{5}\times 100=20\%$
Raju’s percentage $=\dfrac{75}{250}\times 100=3\times 10=30\%$
Roy’s percentage $=\dfrac{125}{250}\times 100=5\times 10=50\%$
Thus, money received by Ravi, Raju and Roy are Rs. 50, Rs. 75 and Rs. 125, respectively. Percentage of this money of all three of them are 20%, 30% and 50% respectively.

Note: Remember that you have to find total parts by adding parts of each one and then proceed further. Sometimes students think this is a very simple sum and just take each part dividing it by total amount and finding the percentage which is wrong. For example: Ravi gets 2 parts and the total amount is Rs. 250, so a mistake happens here.
Ravi’s percentage $=\dfrac{2}{250}\times 100=0.08\times 100=8\%$
The above value is completely wrong. You should find the percentage of money received by each of them. So, be careful with this type of problem.