Question : A manufacturer fixes his selling price at 33% over the cost of production. If the cost of production goes up by 12% and the manufacturer raises his selling price by 10%, his percentage profit is:
Option 1: $28\frac{3}{8}\%$
Option 2: $30\frac{5}{8}\%$
Option 3:
$36\frac{5}{9}\%$
Option 4:
$35\%$
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Correct Answer: $30\frac{5}{8}\%$
Solution : Let the cost of production as $C$ and the selling price as $S$. Given that the manufacturer fixes his selling price at 33% over the cost of production, $S = C + 0.33C = 1.33C$ The cost of production goes up by 12%, the new cost of production, $C' = C + 0.12C = 1.12C$ The manufacturer raises his selling price by 10%, the new selling price, $S' = S + 0.10S = 1.10S$ $S' = 1.10 \times 1.33C = 1.463C$ $\text{Profit Percentage} = \frac{S' - C'}{C'} \times 100$ $\text{Profit Percentage} = \frac{1.463C - 1.12C}{1.12C} \times 100 = \frac{0.343C}{1.12C} \times 100=30\frac{5}{8}\%$ Hence, the correct answer is $30\frac{5}{8}\%$.
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Question : A tradesman marks his goods $30\%$ more than the cost price. If he allows a discount of $6\frac{1}{4}\%$, then his gain percent is:
Option 1: $23\frac{3}{4}\%$
Option 2:
$22\%$
Option 3: $21\frac{7}{8}\%$
$30\%$
Question : The ratio of the cost price and selling price of an article is 25 : 26. The percent of the profit will be:
Option 1: 26%
25%
1%
4%
Question : By what fraction must the selling price (SP) be multiplied to get the cost price (CP) if the loss is 20%?
Option 1: $\frac{4}{5}$
Option 2: $\frac{8}{5}$
Option 3: $\frac{5}{4}$
Option 4: $\frac{6}{5}$
Question : Match the following and select the correct answer from the codes given below:
Crops Producing state
(a)Tea (1) Himachal Pradesh
(b) Sugarcane (2) Assam
(c) Groundnut (3) Uttar Pradesh
(d)Apple (4) Gujarat
Option 1: a-2,b-4,c-1,d-3
a-2,b-3,c-4,d-1
a-3,b-2,c-1,d-4
a-4,b-3,c-1,d-2
Question : The table given below shows the cost price and selling price of 5 different articles.
What is the ratio of the cost price of A1 to the selling price of A4?
Option 1: 1 : 2
Option 2: 1 : 3
Option 3: 7 : 5
Option 4: 7 : 11
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