Ramesh went to a food joint and bought some burgers and rolls for his family members. In total, he spent less than Rs. 3000. Had Ramesh spent the amount he actually spent on buying burgers to buy rolls and vice versa, he would have ended up buying 3 more items in total. What is the maximum number of burgers that Ramesh could have bought if it is known that a burger and a roll cost Rs. 80 and Rs. 60 respectively?Correct answer is '21'. Can you explain this answer?

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Ramesh went to a food joint and bought some burgers and rolls for his family members. In total, he spent less than Rs. 3000. Had Ramesh spent the amount he actually spent on buying burgers to buy rolls and vice versa, he would have ended up buying 3 more items in total. What is the maximum number of burgers that Ramesh could have bought if it is known that a burger and a roll cost Rs. 80 and Rs. 60 respectively?

Correct answer is '21'. Can you explain this answer?

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Ramesh went to a food joint and bought some burgers and rolls for his ...

Let 'x' and 'y' be the number of burgers and rolls bought by Ramesh in the first case.
It is given that: 80x + 60y < 3000
⇒ 4x+3y < 150 ... (1)
We are given that in the 2nd case he spends Rs. 80x on purchasing rolls and Rs. 60y on burgers.
It is known that in the 2nd case Ramesh was able to buy 3 more items in the same amount of money. Hence,

At y = 4, x = 12
At y = 8, x = 15
At y = 12, x = 18
At y = 16, x = 21
At y = 20, x can't be 24 because in that case 4x+3y > 150. Hence, we can say that x_max = 21.

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Ramesh went to a food joint and bought some burgers and rolls for his ...

**Problem Analysis:**
Let's assume that Ramesh bought 'x' burgers and 'y' rolls.

Given:
- Cost of a burger = Rs. 80
- Cost of a roll = Rs. 60
- Total amount spent is less than Rs. 3000

We need to find the maximum number of burgers Ramesh could have bought.

**Solution:**
To find the maximum number of burgers, we need to maximize the value of 'x' while still satisfying the given conditions.

**Condition 1: Total amount spent is less than Rs. 3000**
Let's write this condition mathematically:
Cost of x burgers + Cost of y rolls < rs.="" />

80x + 60y < />

**Condition 2: Had Ramesh spent the amount he actually spent on buying burgers to buy rolls and vice versa, he would have ended up buying 3 more items in total**
If Ramesh had spent the amount he actually spent on buying burgers to buy rolls and vice versa, the total number of items would have increased by 3. Mathematically, we can write this as:

x + 3 = y
y + 3 = x

**Solving the Equations:**
We have two equations:
80x + 60y < />
x + 3 = y

Let's solve these equations to find the maximum value of 'x'.

Substituting y = x + 3 in the first equation:
80x + 60(x + 3) < />
80x + 60x + 180 < />
140x < />
x < />

Since the number of burgers cannot be in decimal, the maximum number of burgers Ramesh could have bought is 20.

**Conclusion:**
The maximum number of burgers Ramesh could have bought is 20.

Answered by Wizius Careers · View profile

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Ramesh went to a food joint and bought some burgers and rolls for his family members. In total, he spent less than Rs. 3000. Had Ramesh spent the amount he actually spent on buying burgers to buy rolls and vice versa, he would have ended up buying 3 more items in total. What is the maximum number of burgers that Ramesh could have bought if it is known that a burger and a roll cost Rs. 80 and Rs. 60 respectively?Correct answer is '21'. Can you explain this answer? for CAT 2024 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about Ramesh went to a food joint and bought some burgers and rolls for his family members. In total, he spent less than Rs. 3000. Had Ramesh spent the amount he actually spent on buying burgers to buy rolls and vice versa, he would have ended up buying 3 more items in total. What is the maximum number of burgers that Ramesh could have bought if it is known that a burger and a roll cost Rs. 80 and Rs. 60 respectively?Correct answer is '21'. Can you explain this answer? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Ramesh went to a food joint and bought some burgers and rolls for his family members. In total, he spent less than Rs. 3000. Had Ramesh spent the amount he actually spent on buying burgers to buy rolls and vice versa, he would have ended up buying 3 more items in total. What is the maximum number of burgers that Ramesh could have bought if it is known that a burger and a roll cost Rs. 80 and Rs. 60 respectively?Correct answer is '21'. Can you explain this answer?.

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