A store owner has 40 less mangoes than lemons. After he sold 75% of the mangoes and 40% of the lemons, he is left with 39 less mangoes than lemons. What fraction of the fruits left were mangoes?
| |
Mangoes |
Lemons |
Comparing mangoes
and lemons at first |
|
40 less |
| Before |
4x5 =
20 u |
+ 40 |
5x4 =
20 u |
| Change |
- 3x5 =
- 15 u |
- 30 |
- 2x4 =
- 8 u |
| After |
1x5 =
5 u |
+ 10 |
3x4 =
12 u |
Comparing mangoes
and lemons in the end |
39 less |
|
75% =
75100 =
34 75% x 40 =
34 x 40 = 30
40 - 30 = 10
40% =
40100 =
25 The number of mangoes is 39 less than the number of lemons in the end. So, if another 39 mangoes are added, the number of mangoes and lemons in the end will be the same.
5 u + 10 + 39 = 12 u
5 u + 49 = 12 u
12 u - 5 u = 49
7 u = 49
1 u = 49 ÷ 7 = 7
Number of mangoes left
= 5 u + 10
= 5 x 7 + 10
= 35 + 10
= 45
Total number of fruits left
= 5 u + 10 + 12 u
= 17 u + 10
= 17 x 7 + 10
= 119 + 10
= 129
Mangoes leftTotal fruits left =
45129 =
1543 Answer(s):
1543 
