15. A few rupees are divided among X, Y, Z so that X gets five times as much as
Y and Y four times as much as Z. If X gets Rs.72 more than Y, what was the amount divided ? [Ans. Rs.112.501].
Answers
Answer:
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
Step-by-step explanation: