Question : The marked price of an article is 40% above its cost price. If its selling price is $73 \frac{1}{2} \%$ of the marked price, then the percentage profit is:
Option 1: 2.9%
Option 2: 2.7%
Option 3: 2.6%
Option 4: 2.5%
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Correct Answer: 2.9%
Solution : Let the cost price of the article be $100$. Then marked price of the article is $(100 + 40) = 140$ Selling price is $73 \frac{1}{2}\%$ of the marked price = $\frac{147}2\%$ of the marked price = ${140 × (\frac{147}2)}\times \frac{1}{100}$ = $ \frac{(140 × 147)}{200} = 102.9$ Now, Profit percentage = $\frac{\text{Selling Price - Cost Price}}{\text{Cost Price}}\times 100\%.$ ⇒ Profit percentage = $\frac{102.9 - 100}{100}\times 100\%$. ⇒ Profit percentage = 2.9% Hence, the correct answer is 2.9%.
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Question : A shopkeeper marks an article at such a price that after giving a discount of $12 \frac{1}{2} \%$ on the marked price, he still earns a profit of 15%. If the cost price of the article is Rs. 385, then the sum of the marked price and the selling price (in Rs.) of the article is:
Option 1: 948.75
Option 2: 849.5
Option 3: 984.75
Option 4: 954.75
Question : A dealer is selling an article at a discount of 5% on the marked price. If the marked price is 12% above the cost price and the article was sold for Rs. 532, then the cost price is (in Rs.):
Option 1: 500
Option 2: 525
Option 3: 505
Option 4: 520
Question : An article is sold at a certain price. If it is sold at $33 \frac{1}{3}$% of this price, there is a loss of $33 \frac{1}{3}$%. What is the percentage profit if the article is sold at 80% of its original selling price?
Option 1: 60%
Option 2: 50%
Option 3: 70%
Option 4: 40%
Question : If the cost price of 28 oranges is equal to the selling price of 24 oranges, then the profit percentage is:
Option 1: $16 \frac{2}{3}$%
Option 2: $16 \frac{1}{3}$%
Option 3: $18 \frac{2}{3}$%
Option 4: $18 \frac{1}{3}$%
Question : A dealer gains 20% by selling an article at 25% discount on its marked price. If the cost price of the article is decreased by 15%, how much discount percentage should he now give on the same marked price so as to earn the same percentage of profit as before?
Option 1: 32.50%
Option 2: 35%
Option 3: 36.25%
Option 4: 37.75%
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