Vaidev bought some mangoes and passion fruits in the ratio of 1 : 3 . After buying another 66 fruits each, the ratio becomes 7 : 10. Find the number of mangoes and passion fruits he had at first.
| |
Mangoes |
Passion Fruits |
Difference |
| Before |
1x3 =
3 u |
3x3 =
9 u |
2x3 =
6 u |
| Change |
+ 66 |
+ 66 |
|
| After |
7x2 =
14 u |
10x2 =
20 u |
3x2 =
6 u |
Since the same number of fruits bought for each type of fruits is the same, the difference in the number of mangoes and passion fruits at first and in the end remains unchanged.
Make the difference in the number of mangoes and passion fruits the same. LCM of 2 and 3 is 6.
Increase in the number of mangoes
= 14 u - 3 u
= 11 u
11 u = 66
1 u = 66 ÷ 11 = 6
Number of passion fruits and mangoes that Vaidev had at first
= 3 u + 9 u
= 12 u
= 12 x 6
= 72
Answer(s): 72
