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If 80% of total articles are sold at a loss of 15% and remaining articles are sold at a profit of 15%, then what will be the overall loss percentage?

  1. A
    15
  2. B
    6
  3. C
    9
  4. D
    12

Solution & Step-by-step Explanation

Let the total number of articles be 100 and the cost price of each article be Rs 1.
Total Cost Price (CP) = Rs 100.

According to the question:

80% of articles = 80 articles.
Loss on these articles = 15%
Selling Price (SP
1

) = 80×(1−0.15)=80×0.85=Rs 68

Remaining articles = 100−80=20 articles.
Profit on these articles = 15%
Selling Price (SP
2

) = 20×(1+0.15)=20×1.15=Rs 23

Total Selling Price (SP) = SP
1

+SP
2

=68+23=Rs 91

Overall Loss = CP−SP=100−91=Rs 9

Overall Loss Percentage=
100
9

×100=9%

Practice this question

Try it yourself before checking the explanation above.

If 80% of total articles are sold at a loss of 15% and remaining articles are sold at a profit of 15%, then what will be the overall loss percentage?
A
15
B
6
C
9
D
12

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