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Rajesh bought a total of 87 oranges and apples. The price of an orange is ₹12 and that of an apple is ₹15. The total cost of apples is more than the total cost of the oranges. Find the number of apples bought by him.45394248

Question

Rajesh bought a total of 87 oranges and apples. The price of an orange is ₹12 and that of an apple is ₹15. The total cost of apples is more than the total cost of the oranges. Find the number of apples bought by him.45394248

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Solution

Let's denote the number of oranges as O and the number of apples as A.

From the problem, we know that:

  1. O + A = 87 (Rajesh bought a total of 87 oranges and apples)

  2. 15A > 12O (The total cost of apples is more than the total cost of the oranges)

We can rearrange the second equation to be in terms of O:

  1. O < 1.25A

Now we can substitute the first equation into the second to solve for A:

O = 87 - A

Substitute O into the second equation:

87 - A < 1.25A

Solve for A:

87 < 2.25A

A > 38.67

Since Rajesh can't buy a fraction of an apple, we round up to the nearest whole number. So, Rajesh bought at least 39 apples.

To check this, we can substitute A = 39 into the first equation:

O + 39 = 87

O = 87 - 39

O = 48

So, Rajesh bought 39 apples and 48 oranges. Since the total cost of apples is more than the total cost of the oranges and 3915 > 4812, our solution is correct.

This problem has been solved

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