Oscar bought some chikoos and guavas in the ratio of 2 : 5 . After buying another 55 fruits each, the ratio becomes 7 : 12. Find the number of chikoos and guavas he had at first.
| |
Chikoos |
Guavas |
Difference |
| Before |
2x5 =
10 u |
5x5 =
25 u |
3x5 =
15 u |
| Change |
+ 55 |
+ 55 |
|
| After |
7x3 =
21 u |
12x3 =
36 u |
5x3 =
15 u |
Since the same number of fruits bought for each type of fruits is the same, the difference in the number of chikoos and guavas at first and in the end remains unchanged.
Make the difference in the number of chikoos and guavas the same. LCM of 3 and 5 is 15.
Increase in the number of chikoos
= 21 u - 10 u
= 11 u
11 u = 55
1 u = 55 ÷ 11 = 5
Number of guavas and chikoos that Oscar had at first
= 10 u + 25 u
= 35 u
= 35 x 5
= 175
Answer(s): 175
