Vaidev bought some passion fruits and persimmons in the ratio of 1 : 5 . After buying another 39 fruits each, the ratio becomes 5 : 12. Find the number of passion fruits and persimmons he has now.
| |
Passion Fruits |
Persimmons |
Difference |
| Before |
1x7 =
7 u |
5x7 =
35 u |
4x7 =
28 u |
| Change |
+ 39 |
+ 39 |
|
| After |
5x4 =
20 u |
12x4 =
48 u |
7x4 =
28 u |
Since the same number of fruits bought for each type of fruits is the same, the difference in the number of passion fruits and persimmons at first and in the end remains unchanged.
Make the difference in the number of passion fruits and persimmons the same. LCM of 4 and 7 is 28.
Increase in the number of passion fruits
= 20 u - 7 u
= 13 u
13 u = 39
1 u = 39 ÷ 13 = 3
Number of persimmons and passion fruits that $(Fred) has now
= 20 u + 48 u
= 68 u
= 68 x 3
= 204
Answer(s): 204
