Question

1. A man distributes his savings of Rs 4000 among his 3 sons in the ratio of 4:3:3. Find the amount received by his first son
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Answer 1

Step-by-step explanation:

Rules of dividing a quantity in three given ratios is explained below along with the different types of examples.

If a quantity K is divided into three parts in the ratio X : Y : Z, then

First part = X/(X + Y + Z) × K,

Second part = Y/(X + Y + Z) × K,

Third part = Z/(X + Y + Z) × K.

For example, suppose, we have to divide $ 1200 among X, Y, Z in the ratio 2 : 3 : 7. This means that if X gets 2 portions, then Y will get 3 portions and Z will get 7 portions. Thus, total portions = 2 + 3 + 7 = 12. So, we have to divide $ 1200 into 12 portions and then distribute the portions among X, Y, Z according to their share.

Thus, X will get 2/12 of $ 1200, i.e., 2/12 × 1200 = $ 200

Y will get 3/12 of $ 1200, i.e., 3/12 × 1200 = $ 300

Z will get 7/12 of $ 1200, i.e., 7/12 × 1200 = $ 700