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. 80%

Hint:

Double Pavan's equation so the mango and orange terms match Aman's exactly, then subtract to isolate the apple price directly, without needing to know the mango or orange prices.

Answer 1

The Correct Option is D

Step 1: Set up variables for the unit prices.
Let m, o and p be the prices of one mango, one orange and one apple. Let T be the total amount Aman spent.
\[ 8m+6o+4p = T \]

Step 2: Write Pavan's purchase as an equation.
Pavan's amount is 35% less than Aman's, so Pavan spent \(0.65T\): \[ 4m+3o+3p = 0.65T \]

Step 3: Double Pavan's equation.
Multiplying the second equation by 2 makes the mango and orange terms match Aman's equation exactly: \[ 8m+6o+6p = 1.3T \]

Step 4: Subtract Aman's equation to cancel m and o. \[ (8m+6o+6p)-(8m+6o+4p) = 1.3T-T \] \[ 2p = 0.3T \]

Step 5: Find Aman's spend on apples.
Aman bought 4 apples, so his apple spend is \(4p\): \[ 4p = 2\times2p = 2\times0.3T = 0.6T \]
As a percentage of his total amount T, this is 60%.

Final Answer:
Aman spent 60% of his total amount on apples. \[ \boxed{60\%} \]