OE


Let’s say that John bought A apples, M mangoes and O oranges, thus;
As it is given that John spent $S on apples, where cost of each apple is $2.
2𝐴 = 𝑆, 𝑜𝑟 𝐴 =𝑆/2

Also, it is given that John spent $ 2S on mangoes, where cost of each mango is $5

5𝑀 = 2𝑆, 𝑜𝑟 𝑀 =2𝑆/5

and John spent $ 4S on oranges, where cost of each orange is $4

60 = 4𝑆, 𝑜𝑟 0 =4𝑆/6=2𝑆/3

Since, A, M and O are the number of apples, mangoes and oranges respectively, thus all A, M and O must be an integer.

And, since A, M and O are integers, hence 𝑆 must be divisible by 2, 5 𝑎𝑛𝑑 3 to give the integer values of A, M and O.

Now, as 𝑆 is divisible by 2, 5 𝑎𝑛𝑑 3, thus it is divisible by 𝐿𝐶𝑀 𝑜𝑓 (2, 5, 3) = 30

Therefore, 𝑆 is a multiple of 30

If S is a multiple of 30 then S can be divided evenly and the remainder is zero

C is the answer