Question

A shopkeeper has three types of apples — A, B, and C — with the following stock and individual weights: Type A: 50 apples in stock, 40 gm each Type B: 40 apples in stock, 60 gm each Type C: 60 apples in stock, 25 gm each He selects a certain number of apples of each type and places them into a crate K.
The numbers of apples chosen for each type are consecutive multiples of 5.
The number of Type C apples is minimum among the three. If the total weight of all apples in the crate is 2050 gm, how many Type B apples did he put in the crate?

Q: Answer-A shopkeeper has three types of apples — A, B, and C — with the following stock and individual weigh...

Let the three chosen quantities be consecutive multiples of 5 5n, 5n1, 5n2 Since C is minimum, c 5n and a,b are 5n1 and 5n2 in some order. Total weight 40a 60b 25c 2050 Try a 5n1, b 5n2, c 5n 40 5n1 60 5n2 25 5n 2050 200n1 300n2 125n 2050 200n200 300n600 125n 2050 625n 800 2050 625n 1250 so, n 2 So c10, a15, b20 Check weight A 15 40 600 B 20 60 1200 C 10 25 250 Total 600 1200 250 2050 So, Type B apples 20