The total cost of 4 oranges, 6 mangoes and 8 apples is equal to twice the total cost of 1 orange, 2 mangoes and 5 apples. Consider the following statements:
1. The total cost of 3 oranges, 5 mangoes and 9 apples is equal to the total cost of 4 oranges, 6 mangoes and 8 apples.
2. The total cost of one orange and one mango is equal to the cost of one apple.
Which of the statements given above is/are correct?
A.1 only
B.2 only
C.Both 1 and 2✓ Correct
D.Neither 1 nor 2
Explanation
Let O, M, A be prices. Given: 4O + 6M + 8A = 2(O + 2M + 5A) = 2O + 4M + 10A. Rearranging: 2O + 2M − 2A = 0, so O + M = A. Statement 2 is directly correct. Statement 1: 3O + 5M + 9A vs 4O + 6M + 8A. Difference: (4O+6M+8A) − (3O+5M+9A) = O + M − A = 0 (using O+M=A). So both totals are equal. Statement 1 is also correct. Hence both statements are correct.
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