Question

Rasool the man who delivers eggs to home everyday did not turn off oneday so when he came the next morning I demanded an explanation from him he told me the whole story the previous morning when he just came out of the house carrying a basket of eggs on his head to start daily rounds and steps on the street a cra going on full speed brushed against him and knocked out his basket a
, destroying all the eggs the driver however was gentleman ,he admitted his responsibility and offered compensate him for his damage. But Rasool could not remember exact number of eggs he have but he estimated the number between 50 and 100 he was able to tell the man that if eggs were counted by 2's and 3's at a time none would be left but if counted by 5's at a time 3 would remain and that he sold the eggs 50 Paisa a piece

the gentleman made quick calculations and paid Rasool adequately .how much did gentleman pay Egg seller?


Please answer it's very important .
​

Answer 1

Answer: Solution:

The simplest way is to find those numbers between 50 and 100, which are multiples of 2 and 3 leaving no remainder. These numbers are 54, 60, 66, 72, 78, 84, 90 and 96. By scrutiny we find that if 78 is divided by 5 it will give 15 plus 3 left over. Therefore 78 is the total number of eggs Rasool had in his basket, before the accident. And therefore he was paid Rs.39 by the gentleman.

Step-by-step explanation: