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Instead of dividing 391 cookies among 3 children A, B , C in the ratio (1 / 5) : (1 / 4) : (1 / 8), it was divided in to the ratio 5 : 4 : 8. Who gains the most and how many ?
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- A, 21 cookies
- B, 78 cookies
- C, 99 cookies
- C, 78 cookies
Correct Option: C
Case I :
| A : B : C = | : | : | 5 | 4 | 8 |
[LCM of 5, 4 and 8 = 40]
A : B : C = 8 : 10 : 5
Sum of the terms of ratio = 8 + 10 + 5 = 23
Case II :
A : B : C = 5 : 4 : 8
Sum of the terms of ratio = 5 + 4 + 8 = 17
Clearly C gains
C’s profit
| C’s profit = | × 391 - | × 391 | 17 | 23 |
C’s profit = 184 – 85 = 99 cookies
