Question : When a discount of 20% is given on a sweater, the profit is 28%. If the discount is 14%, then the profit is:
Option 1: 42%
Option 2: 46.4%
Option 3: 33.2%
Option 4: 37.6%
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Correct Answer: 37.6%
Solution : Let the cost price of the sweater be Rs. 100 and its marked price is Rs. $x$. Use: Selling Price = Marked price × $\frac{100 - \text{Discount}\ \%}{100}$ and Profit % = $\frac{\text{Selling Price – Cost Price}}{\text{Cost Price}}×100$ According to the question, ⇒ $\frac{x \times 80}{100} =128$ ⇒ $\frac{x \times 4}{5}= 128$ ⇒ $x =\frac{128 \times 5}{4}=160$ When discount = 14%, then, Selling price of sweater = 160 × (100 – 14)% = $\frac{160 \times 86}{100}$ = Rs. 137.6 $\therefore$ Profit percentage = 137.6 – 100 = 37.6% Hence, the correct answer is 37.6%.
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Question : A shopkeeper marks his goods 35% above the cost price. He then allows some discount on it. If he makes a profit of 14%, then the rate of discount is:
Option 1: 17.77%
Option 2: 15.55%
Option 3: 16.66%
Option 4: 14.44%
Question : A shopkeeper sells a table at a discount of 20% and earns a profit of 60%. If he sells the same table at a 40% discount, then what will be his new profit percentage?
Option 1: 20
Option 2: 30
Option 3: 35
Option 4: 40
Question : A discount of 20% is given on the marked price of a cycle, and still, there is a profit of 20%. If the profit is INR 800, find the marked price of the cycle.
Option 1: INR 4,000
Option 2: INR 5,800
Option 3: INR 4,800
Option 4: INR 6,000
Question : The marked price of an article is $40$% more than its cost price. If a $20$% discount is given on the marked price, then what will be the profit percentage?
Option 1: $15$%
Option 2: $12$%
Option 3: $10$%
Option 4: $8$%
Question : A shopkeeper marks his goods 20% higher than the cost price and allows a discount of 5%. The percentage of his profit is:
Option 1: 15%
Option 2: 20%
Option 3: 10%
Option 4: 14%
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