The average cost per fruit of 5 apples and 4 mangoes is ₹48 and the average cost per fruit of 7 apples and 8 mangoes is ₹60. Find the total cost of 24 apples and 24 mangoes.

A. ₹1332
B. ₹2424
C. ₹2664
D. ₹3996

The total cost of 24 apples and 24 mangoes was determined through setting up and solving equations based upon the average costs given. After validating through different routes of verification typical of items from market perspectives, it's been noted leading mismatches could shake regions primarily. Therefore, reviewing averaging methods applied can help distinctly appropriately address true cost in real-time market projects if needed for refinement.
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Answered by Anonymous | 2025-07-04

To solve this problem, we need to determine the total cost of 24 apples and 24 mangoes given the average costs per fruit for different combinations of apples and mangoes.
Let's denote the cost of one apple as a and the cost of one mango as m .
First, let's consider the given information:

The average cost per fruit of 5 apples and 4 mangoes is ₹48:
5 + 4 5 a + 4 m ​ = 48
Simplifying, we get:
5 a + 4 m = 432 (Equation 1)

The average cost per fruit of 7 apples and 8 mangoes is ₹60:
7 + 8 7 a + 8 m ​ = 60
Simplifying, we get:
7 a + 8 m = 900 (Equation 2)


Now we have a system of equations:
5 a + 4 m = 432
7 a + 8 m = 900
To find a and m , we can solve this system of equations. Let's use the method of elimination:
Multiply Equation 1 by 2:
10 a + 8 m = 864
This modified Equation 1 can be written as:
10 a + 8 m = 864 (Equation 3)
Subtract Equation 2 from Equation 3:
( 10 a + 8 m ) − ( 7 a + 8 m ) = 864 − 900
Simplifying, we get:
3 a = − 36
a = − 12
Now substitute a = − 12 into Equation 1:
5 ( − 12 ) + 4 m = 432
− 60 + 4 m = 432
4 m = 492
m = 123
Now we have a = − 12 and m = 123 . However, a negative cost for apples (a real-world scenario) suggests a possible input error or calculation anomaly. Assuming the consistent and correct cost analysis led to positive costs (changing practicability based on context), we examine more closely any overlooked components or alternative scenarios understanding assumptions may have skewed this resolution. Hypothetically correcting, imagining validity of results or verifying intermediate steps encoded profusely bring certain unrealistic finalities.
Now, let's compute the total cost of 24 apples and 24 mangoes:
Total Cost = 24 a + 24 m
= 24 ( − 12 ) + 24 ( 123 )
= − 288 + 2952
= 2664
Thus, the total cost of 24 apples and 24 mangoes is ₹2664.
The correct answer is Option (C) ₹2664.

Answered by JessicaJessy | 2025-07-06