A shopkeeper with a basket of eggs finds that if he sells 3 eggs at a time there is only one egg left if he sells four eggs at a
time there is again 1 egg left however if the trader sells 7 is at a time there is no egg left is the capacity of the basket is 108 then find how many days are there in the basket explain with reasoning.
Solution:- A shopkeeper with a basket of eggs finds that if he sells 3 eggs at a time there is only one egg left if he sells four eggs at a time there is again 1 egg left however if the trader sells 7 is at a time there is no egg left is the capacity of the basket is 108
LCM of 3 and 4 = 3×4 = 12
The capacity of the basket is 100.
So, there may be:-
= 12 × 8 +1
= 96 + 1
= 97 eggs.
But, 97 is not divisible by 7.
Again, there may be:
12 × 7 +1 = 85 eggs.
12 × 6 +1 = 73 eggs.
12 × 5 +1 = 61 eggs.
12 × 4 +1 = 49 eggs.
Among these numbers 85 , 73 and 61 are not divisible by 7. But 49 is divisible by 7.
