An article when sold for Rs.200 fetches 25% profit. What would be the percentage profit/loss
if 6 such articles are sold for Rs.1056?
a) 10% loss b) 10% profit c) 5% loss
d) 5% profit e) None of these
Answers
The selling price = 125%
The buying price = 100%
125% = 200
100% =?
100/125 × 200 = 160
Rs 160
The buying price of the six articles :
160 × 6 = 960
The profit = 1056 - 960 = 96
96/960 × 100 = 10%
10% profit.
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STEP 1: Find the cost price:
100 + 25% = 125%
125% = Rs 200
1% = 200 ÷ 125 = Rs 1.60
100% = 1.6 x 100 = Rs 160
The cost price of the article is Rs 160.
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STEP 2: Find the selling price of one article:
6 articles = Rs 1056
1 article = 1056 ÷ 6
1 article = Rs 176
1 article is sold for Rs 176
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STEP 3: Find the profit/loss percentage:
Since the selling price is more than cost price
⇒ It is a profit
.
Profit = 176 - 160 = Rs 16
Profit percentage = 16/160 x 100 =10%
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Answer: The article was sold at a profit of 10% ( Option b)
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