A shopkeeper marks the price of three identical articles, first, 60% above the Cost Price; second, 45% above the Cost Price and the third, 40% above the cost price. If he gives discount of 25% on first article, 20% on the second article and 15% on the third one, what is his overall profit percentage?
$16\frac{2}{3}$%
Calculating Overall Profit Percentage
This solution determines the shopkeeper's overall profit percentage. It involves calculating the selling price (SP) for each of the three articles based on their cost price (CP), marked price (MP), and the discount given, then finding the total profit.
Step-by-Step Calculation for Profit Percentage
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Assume the Cost Price (CP) for each of the three identical articles is $100.
The Total Cost Price (CPtotal) is calculated as:
$ CP_{total} = 3 \times \$100 = \$300 $
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Calculate the Marked Price (MP) and Selling Price (SP) for each article:
Article 1 Details
- Marked Price (MP1): Marked 60% above CP.
$ MP1 = \$100 \times (1 + 0.60) = \$100 \times 1.60 = \$160 $
- Selling Price (SP1): Given a 25% discount on MP1.
$ SP1 = \$160 \times (1 - 0.25) = \$160 \times 0.75 = \$120 $
Article 2 Details
- Marked Price (MP2): Marked 45% above CP.
$ MP2 = \$100 \times (1 + 0.45) = \$100 \times 1.45 = \$145 $
- Selling Price (SP2): Given a 20% discount on MP2.
$ SP2 = \$145 \times (1 - 0.20) = \$145 \times 0.80 = \$116 $
Article 3 Details
- Marked Price (MP3): Marked 40% above CP.
$ MP3 = \$100 \times (1 + 0.40) = \$100 \times 1.40 = \$140 $
- Selling Price (SP3): Given a 15% discount on MP3.
$ SP3 = \$140 \times (1 - 0.15) = \$140 \times 0.85 = \$119 $
- Marked Price (MP1): Marked 60% above CP.
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Calculate the Total Selling Price (SPtotal) for all three articles:
$ SP_{total} = SP1 + SP2 + SP3 = \$120 + \$116 + \$119 = \$355 $
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Calculate the Total Profit made by the shopkeeper:
$ \text{Total Profit} = SP_{total} - CP_{total} = \$355 - \$300 = \$55 $
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Calculate the Overall Profit Percentage:
The formula for profit percentage is: Profit % = (Total Profit / Total CP) $\times 100%
$ \text{Overall Profit %} = \frac{\$55}{\$300} \times 100\% $
$ \text{Overall Profit %} = \frac{55}{3} \% $
$ \text{Overall Profit %} = 18\frac{1}{3}\% $
Conclusion on Profit Percentage
Based on the calculations derived directly from the problem statement, the shopkeeper's overall profit percentage is $18\frac{1}{3}$%.
Important Questions from Successive Selling
A dealer sold an article at a loss of 2%. Had he sold it for Rs. 44 more, he would have gained 20%. Find the cost price of the article
Radha purchased a Computer table for Rs. 10000 and a Centre table for Rs. 5000. She sold Computer table with 8% profit. With what profit percent should she sell the Centre table so as to gain 10% on the whole transaction.
If selling price of 75 articles is equal to cost price of 60 articles, then the approximate loss or gain percent is :
A.T.V. is sold at 8% gain. Had it been sold for Rs.2553 less; there would have been loss of 15%. To gain 18%, the selling price (in Rs.) of T.V. would be:
Some fruits are bought at 15 for Rs. 140 and an equal number of fruits at 10 for Rs. 120. If all the fruits are sold at Rs. 132 per dozen, then what is the profit percent in the entire transaction?
