Question : When an article is sold at a 5% discount, then there is a profit of 14%. If the discount is 11%, then what will be the profit?
Option 1: 7.6%
Option 2: 8.4%
Option 3: 7.2%
Option 4: 6.8%
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Correct Answer: 6.8%
Solution : Given: When an article is sold at a 5% discount, then there is a profit of 14%. Use the formulas, SP = MP – Discount CP = $\frac{100}{100+\text{Profit percent}}\times SP$ Profit percentage = $\frac{SP–CP}{CP}\times 100$ Where SP, CP, and MP are the selling price, cost price, and the marked price. Let the MP of an article be INR 100. Discount = 5% ⇒ SP = INR 100 – INR 5 = INR 95 Profit percentage = 14% ⇒ CP = INR $\frac{100}{100+14}\times 95$ ⇒ CP = INR $\frac{100}{114}\times 95=$ INR 83.3 For the discount of 11%, ⇒ SP = INR 100 – INR 11 = INR 89 Profit percentage $=\frac{89–83.3}{83.3}\times 100$ $=\frac{5.7}{83.3}\times 100=$ 6.8% Hence, the correct answer is 6.8%.
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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 : The marked price of an article is 20% more than its cost price. What is the profit percent if a 5% discount is given on the marked price?
Option 1: 5
Option 2: 14
Option 3: 15
Option 4: 25
Question : An article was sold at Rs. 950, allowing a 5% discount on the marked price. The marked price of the article is:
Option 1: Rs. 960
Option 2: Rs. 1000
Option 3: Rs. 955
Option 4: Rs. 945
Question : A sold an article to B at 25% profit, and B further sold it to C by earning a certain profit. If the cost price for C is 30% more than the cost price for A, find the profit percentage earned by B.
Option 1: $5\frac{1}{2}\%$
Option 2: $4\%$
Option 3: $5\%$
Option 4: $4\frac{1}{2}\%$
Question : A profit of 12% is made when a mobile phone is sold at Rs. P and there is a 4% loss when the phone is sold at Rs. Q. Then Q : P is:
Option 1: 1 : 1
Option 2: 4 : 5
Option 3: 6 : 7
Option 4: 3 : 1
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