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What percentage of profit should be added in the cost price of an item so as to gain a profit of 33% after allowing 5% discount to the customer?
  • a)
    45
  • b)
    40
  • c)
    52
  • d)
    48
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
What percentage of profit should be added in the cost price of an item...
Let the C.P = Rs100
The, S.P = Rs. 133
Let the marked price Rs. x
Then, 95% of x = 133
x = 133 100/95 = 140
Marked price = 40% above C.P.
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Most Upvoted Answer
What percentage of profit should be added in the cost price of an item...
Calculation of Profit Percentage

To solve the problem, we need to find out the profit percentage after allowing a discount of 5%. The following steps can be used to calculate the profit percentage:

Step 1: Let the cost price of the item be x.

Step 2: Let the profit percentage to be added in the cost price be y.

Step 3: We need to calculate the selling price after allowing a discount of 5%. Let the selling price be z.

Step 4: We can calculate the selling price after allowing a discount of 5% as follows:

z = x + y + 5% of (x + y)

z = x + y + 0.05(x + y)

z = 1.05x + 1.05y

Step 5: We need to calculate the profit percentage as follows:

Profit percentage = (Selling price - Cost price) / Cost price × 100%

33% = (z - x) / x × 100%

33% = (1.05x + 1.05y - x) / x × 100%

33% = 0.05y / x × 100%

y = (33/5)x

y = 6.6x

Calculation of the Answer

To find out the percentage of profit that should be added in the cost price of an item so as to gain a profit of 33% after allowing a 5% discount to the customer, we need to substitute the value of y in the equation y = 6.6x and simplify it as follows:

y = 6.6x

y = 6.6x + 5% of (6.6x)

y = 1.33x

Therefore, the percentage of profit that should be added in the cost price of an item is 33%.

Answer: (B) 40
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Community Answer
What percentage of profit should be added in the cost price of an item...
B
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What percentage of profit should be added in the cost price of an item so as to gain a profit of 33% after allowing 5% discount to the customer?a)45b)40c)52d)48Correct answer is option 'B'. Can you explain this answer?
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