A store owner has 24 less mangoes than persimmons. After he sold 75% of the mangoes and 35% of the persimmons, he is left with 26 less mangoes than persimmons. What fraction of the fruits left were mangoes?
| |
Mangoes |
Persimmons |
Comparing mangoes
and persimmons at first |
|
24 less |
| Before |
4x5 =
20 u |
+ 24 |
20x1 =
20 u |
| Change |
- 3x5 =
- 15 u |
- 18 |
- 7x1 =
- 7 u |
| After |
1x5 =
5 u |
+ 6 |
13x1 =
13 u |
Comparing mangoes
and persimmons in the end |
26 less |
|
75% =
75100 =
34 75% x 24 =
34 x 24 = 18
24 - 18 = 6
35% =
35100 =
720 The number of mangoes is 26 less than the number of persimmons in the end. So, if another 26 mangoes are added, the number of mangoes and persimmons in the end will be the same.
5 u + 6 + 26 = 13 u
5 u + 32 = 13 u
13 u - 5 u = 32
8 u = 32
1 u = 32 ÷ 8 = 4
Number of mangoes left
= 5 u + 6
= 5 x 4 + 6
= 20 + 6
= 26
Total number of fruits left
= 5 u + 6 + 13 u
= 18 u + 6
= 18 x 4 + 6
= 72 + 6
= 78
Mangoes leftTotal fruits left =
2678 =
13 Answer(s):
13 
