Question : A lady sold an article for INR 960 at some profit. Had she sold it for INR 800, then there would have been a loss equal to $\frac{1}{3}$rd of the initial profit. What was the profit percentage of the article?
Option 1: $\frac{150}{7} \%$
Option 2: $\frac{50}{7} \%$
Option 3: $\frac{10}{7} \%$
Option 4: $\frac{100}{7} \%$
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Correct Answer: $\frac{100}{7} \%$
Solution : Let the cost price of the article be $x$. According to the question, ⇒ $(x - 800) = \frac{1}{3}\times (960 - x)$ ⇒ $3(x - 800) = 960 - x$ ⇒ $3x - 2400 = 960 - x$ ⇒ $3x + x = 960 + 2400$ ⇒ $4x = 3360$ ⇒ $x = \frac{3360}{4}$ ⇒ $x = 840$ So, profit = 960 – 840 = 120 Thus, profit percentage = $\frac{\text{profit}}{\text{cost price}}\times 100$ = $\frac{120}{840}\times 100$ = $\frac{100}{7}\%$ Hence, the correct answer is $\frac{100}{7}\%$.
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Question : While selling an article for INR 18,450, a person suffered a loss of 50%. At what price he should have sold the article to earn a profit of 50%?
Option 1: INR 13,837
Option 2: INR 52,000
Option 3: INR 55,350
Option 4: INR 56,775
Question : The selling price of 28 items is equal to the cost price of 17 items. What is the percentage of profit or loss?
Option 1: $39 \frac{2}{7} \%$ loss
Option 2: $39 \frac{2}{7} \%$ profit
Option 3: $33 \frac{2}{7} \%$ profit
Option 4: $33 \frac{2}{7} \%$ loss
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 : A man sells an article for a 15% profit. If he had sold it for INR 6 more, he would have gained 18%. The man bought the article for:
Option 1: INR 100
Option 2: INR 150
Option 3: INR 200
Option 4: INR 250
Question : Anil bought two articles A and B at a total cost of INR 10,000. He sold Article A at a 15% profit and Article B at a 10% loss. In the whole deal, he made no profit or loss. Find the selling price of the article A.
Option 1: INR 4,500
Option 2: INR 5,400
Option 3: INR 4,600
Option 4: INR 4,200
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