Question : If 40% of $x$ = 25% of 20, then what is the value of $x$?
Option 1: 22.5
Option 2: 12.5
Option 3: 17.5
Option 4: 20
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Correct Answer: 12.5
Solution : Given: 40% of $x$ = 25% of 20 ⇒ $\frac{40}{100}\times x=\frac{25}{100}\times20$ ⇒ $\frac{2}{5}\times x=5$ ⇒ $x=\frac{25}{2}=12.5$ Hence, the correct answer is 12.5.
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Question : The cost price of 50 articles is the same as the selling price of $x$ articles. If there is a profit of 25 percent, then what is the value of $x$?
Option 1: 20
Option 2: 40
Option 3: 30
Option 4: 25
Question : The marked price of a cap is INR 2,000. Two successive discounts of 15% and $x$% are given. If the selling price is INR 1,275, then what is the value of $x$?
Option 1: 20%
Option 2: 22.5%
Option 3: 27.5%
Option 4: 25%
Question : 15% of the marked price of an item is equal to 25% of its cost price. If a discount of 25% is given on the sale of the item, then what will be the profit percentage?
Option 1: 22.5%
Option 2: 20%
Option 3: 17.5%
Question : If $3: x:: 12: 20$, then what is the value of $x$?
Option 1: 10
Option 2: 6
Option 3: 8
Option 4: 5
Question : If $\mathrm{X: Y=3: 2}$, then what is the value of $\mathrm{(X-Y):(X+Y) }$?
Option 1: 4 : 5
Option 2: 1 : 5
Option 3: 8 : 9
Option 4: 3 : 7
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