A person carries Rs 500 and wants to buy apples and oranges out of it If the cost of one apple is Rs...........

Quantitative Aptitude (CDS) Number System

A person carries Rs 500 and wants to buy apples and oranges out of it. If the cost of one apple is Rs 5 and the cost of one orange is Rs 7 , then what is the number of ways in which a person can buy both apples and oranges using total amount?

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Explanation:

5x+7y = 500
for x and y to be integers y should be divisible by 5.
Let y = 5a
So 5x + 35a=500
x + 7a = 100
Minimum value of x = 1
So 7a = 99 , a =14( to be integer)