Cindy bought 15 apples and 12 oranges and paid a sum of ₹447 for the purchase. Which of the statements given below is inconsistent with the information given in the previous statement, leading to no possible prices for the two fruits?
Show answer & explanation
Correct answer: D
Explanation
The correct answer is option 4 i.e. Purchased 35 apples and 28 oranges and paid a sum of ₹1,029.
Let the price of an apple and an orange be x and y, respectively.
So, 15x + 12y = 447
⇒ 5x + 4y = 149 .....(1)
From option (4), we get that the cost of 35 apples and 28 oranges is ₹1,029
So, 35x + 28y = 1029
⇒ 5x + 4y = 147 .....(2) [Dividing both sides by 7]
Here, equations (1) and (2) are different.
Therefore, the information given in option (4) is inconsistent.