Question

Aman purchased 8 mangoes, 6 oranges and 4 apples for a certain amount. With 35% less amount, Pavan could purchase 4 mangoes, 3 oranges and 3 apples. What percentage of the total amount did Aman spend on apples?

• A. 45%
• B. 50%
• C. 60%
• D. 70%
• E. 80%

Hint:

Double Pavan's equation so the mango and orange terms match Aman's exactly, then subtract to isolate the apple term.

Answer 1

The Correct Option is C

Let the price of a mango, orange and apple be \(m\), \(o\) and \(a\) respectively, and let Aman's total amount be \(T\).
Aman's purchase: \(8m + 6o + 4a = T\) ... (1)
Pavan's amount is 35% less than Aman's, i.e. \(0.65T\), and he buys 4 mangoes, 3 oranges and 3 apples:
\(4m + 3o + 3a = 0.65T\) ... (2)
Multiply (2) by 2: \(8m + 6o + 6a = 1.3T\) ... (3)
Subtract (1) from (3): the \(8m\) and \(6o\) terms cancel exactly, leaving
\[2a = 0.3T \Rightarrow a = 0.15T\]
So the amount spent on apples by Aman = \(4a = 4 \times 0.15T = 0.6T\), which is 60% of the total amount.
So Aman spent 60% of the total amount on apples.
Note: this is confirmed by direct verification (for example, m = 5, o = 0, a = 15 with T = 100 satisfies both given conditions exactly). The answer key on file lists option (e) 80%, but the equations as given consistently work out to 60%, matching option (c).