Question

A sum of money is to be distributed among p q and r in ratio 6:19:7.If r gives 200 from his share to q the ratio of p,q and r becomes 3:10:3,.What is total sum

Answer 1

The total sum is 6400.

Step-by-step explanation:

A certain amount of money is distributed in the ratio 6 : 19 : 7 among p, q, and r.

Let, p has 6x, q has 19x and r has 7x.

Now, if r gives 200 from his share to q then r has (7x - 200) and q has (19x + 200).

If finally, the ratio of p, q, r's money becomes 3 : 10 : 3.

So, we can write the equation

$\frac{19x + 200}{7x - 200} = \frac{10}{3}$

⇒ 57x + 600 = 70x - 2000

⇒ 13x = 2600

⇒ x = 200

Hence, the total sum = 6x + 19x + 7x = 32x = 32 × 200 = 6400 (Answer)