Question

A sum of money is to be divided among
four persons in the ratio of 2:3:4:5. Out
ofthe four, one person gets Rs. 200 more than
theother and Rs. 100 less than another. What
is thesum?
1) 2800
2) 1400
3) 4200
4) can't be determined​

Answer 1

Answer:

(2) - 1400

Step-by-step explanation:

Ratio = 2 : 3 : 4 : 5

Let the amounts be 2x, 3x, 4x and 5x.

So,

Sum is 2x + 3x + 4x + 5x = 14x.

One number is 200 more than other:

4x = 2x + 200

2x = 200

x = 100

One number is 100 less than another:

4x = 5x - 100

x = 100

Now,

Required sum = 14 * 100

                        = 1400

Hope it helps