Ram bought pens from a wholesaler at Rs. 200 per pen. For every additional pen sold by Ram after the first one, the selling price of the pen becomes Rs.5 less than the selling price of the previous pen. Using this strategy, Ram makes a 145% profit by selling 5 pens. What is the maximum number of pens a customer can buy in a single transaction such that Ram makes a profit on every pen sold?Correct answer is '60'. Can you explain this answer?

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Ram bought pens from a wholesaler at Rs. 200 per pen. For every additional pen sold by Ram after the first one, the selling price of the pen becomes Rs.5 less than the selling price of the previous pen. Using this strategy, Ram makes a 145% profit by selling 5 pens. What is the maximum number of pens a customer can buy in a single transaction such that Ram makes a profit on every pen sold?

Correct answer is '60'. Can you explain this answer?

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Ram bought pens from a wholesaler at Rs. 200 per pen. For every additi...

Let the cost of the pen be Rs xx and the marked price be yy

The cost of 5 pen = 5x5x

Selling price of 5 pens = y + (y−5) + (y−10) +(y−15) + (y−20) = 5y - 50

As per question

(1+145%)5x = 5y−50

Or 2.45x = y−10...(I)

Putting x = 200 gives, y = 500

The selling price of the n^th pen is = 500−(n−1)5

To make the sure that profit is obtained on every pen sold

SP > CP

500 − (n−1)5 > 200

500 − 5n+5 > 200

305 > 5n or n < 61

Thus maximum possible pens he can sell is 60

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Ram bought pens from a wholesaler at Rs. 200 per pen. For every additi...

To find the maximum number of pens a customer can buy in a single transaction such that Ram makes a profit on every pen sold, let's break down the given information and solve step by step.

Given Information:
- Ram bought pens from a wholesaler at Rs. 200 per pen.
- For every additional pen sold by Ram after the first one, the selling price of the pen becomes Rs. 5 less than the selling price of the previous pen.
- Ram makes a 145% profit by selling 5 pens.

Step 1: Calculate the Selling Price of the 5th Pen
Let's assume the selling price of the first pen is S1.

According to the given information, for every additional pen sold, the selling price decreases by Rs. 5. So, the selling prices of the first five pens would be:
S1, S1 - 5, S1 - 10, S1 - 15, S1 - 20

Step 2: Calculate the Cost Price of the 5th Pen
Since Ram makes a 145% profit on each pen sold, the cost price (C) can be calculated using the formula:
Selling Price = Cost Price + Profit

For the 5th pen:
S1 - 20 = C + 1.45C
Simplifying the equation:
S1 - 20 = 2.45C
C = (S1 - 20) / 2.45

Step 3: Calculate the Profit on the 5th Pen
Profit = Selling Price - Cost Price
Profit = (S1 - 20) - [(S1 - 20) / 2.45]

Step 4: Calculate the Total Profit on 5 Pens
Since Ram makes a 145% profit on each pen sold, the total profit on 5 pens can be calculated as:
Total Profit = 5 * Profit

Step 5: Set Up the Equation for Total Profit
According to the given information, Ram makes a 145% profit on 5 pens. So, we can set up the following equation:
Total Profit = 5 * Profit = 1.45 * Cost Price * 5

Step 6: Solve the Equation
Substituting the values from Step 4 into the equation from Step 5:
5 * Profit = 1.45 * [(S1 - 20) / 2.45] * 5
Profit = (S1 - 20) / 2.45

Step 7: Solve for S1
Using the equation from Step 6, we can solve for S1:
(S1 - 20) / 2.45 = (S1 - 20)
S1 - 20 = 2.45 * (S1 - 20)
S1 - 20 = 2.45S1 - 49
1.45S1 = 29
S1 = 29 / 1.45
S1 = 20

Step 8: Calculate the Maximum Number of Pens
Since the selling price of the first pen is Rs. 20, and for every additional pen, the selling price decreases by Rs. 5, we can calculate the maximum number of pens a customer can buy in a single transaction such that Ram makes a profit on every pen sold:

20, 15, 10, 5,

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Ram bought pens from a wholesaler at Rs. 200 per pen. For every additional pen sold by Ram after the first one, the selling price of the pen becomes Rs.5 less than the selling price of the previous pen. Using this strategy, Ram makes a 145% profit by selling 5 pens. What is the maximum number of pens a customer can buy in a single transaction such that Ram makes a profit on every pen sold?Correct answer is '60'. 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 Ram bought pens from a wholesaler at Rs. 200 per pen. For every additional pen sold by Ram after the first one, the selling price of the pen becomes Rs.5 less than the selling price of the previous pen. Using this strategy, Ram makes a 145% profit by selling 5 pens. What is the maximum number of pens a customer can buy in a single transaction such that Ram makes a profit on every pen sold?Correct answer is '60'. Can you explain this answer? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Ram bought pens from a wholesaler at Rs. 200 per pen. For every additional pen sold by Ram after the first one, the selling price of the pen becomes Rs.5 less than the selling price of the previous pen. Using this strategy, Ram makes a 145% profit by selling 5 pens. What is the maximum number of pens a customer can buy in a single transaction such that Ram makes a profit on every pen sold?Correct answer is '60'. Can you explain this answer?.

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