Question

Divide Rs.1500 among A, B and C in the ratio 2:3:5.

Answer 1

Hint: In this question, we are given a total amount as Rs.1500 and we have to divide it in the ratio 2:3:5. For this, we will first suppose the common ratio as x. Then using the common ratio, we will find the amount that A, B and C will have in terms of x. Adding all of them will give us Rs.1500 and thus an equation will be formed in terms of x. Solving it, we will find the value of x and hence the amount for each A, B and C.

Complete step by step answer:
Here, we are given the total amount as Rs.1500.
We need to divide it among A, B and C in the ratio 2:3:5.
Let us suppose that the common ratio is x.
Since the value of amount for A is 2 in the ratio form. So, after multiplying common ratio x we have the value of amount for A as 2x.
Now, the value of amount for B is 3 in the ratio form. So, after multiplying the common ratio x we have the value of amount for B as 3x.
Now the value of the amount for C is 5 in the ratio form. Si after multiplying the common ratio x we have the value of amount for C as 5cx.
Since the total amount is given as Rs.1500 and it is distributed to A, B and C so the amount of A, B and C will add up to Rs.1500.
Hence we have, amount of A + amount of B + amount of C = 1500.
Putting in the values we have,
$2x+3x+5x=1500\Rightarrow 10x=1500$.
Dividing both sides by 10 we have,
$x=\dfrac{1500}{10}\Rightarrow x=150$.
Hence the common ratio is Rs.150.
Now we know that the share of A was 2x, so the share of A will be $Rs\left( 2\times 150 \right)=Rs.300$.
We know that, share of B was 3x, so the share of B will be $Rs\left( 3\times 150 \right)=Rs.450$.
We know that, share of C was 5x, so the share of C will be $Rs\left( 5\times 150 \right)=Rs.750$.
Hence after dividing we have amounts as Rs.300, Rs.450 and Rs.750 which are in the ratio 2:3:5.

Note: Students should check their answer by adding the found values and see if it is equal to Rs.1500. Take care while doing calculations. Make sure that the common ratio is multiplied for everyone's share. We can also check our answer by calculating a ratio of 300:450:750.