Question : The difference between 73% of a number and 45% of the same number is 112. Find the number.
Option 1: 450
Option 2: 400
Option 3: 500
Option 4: 550
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Correct Answer: 400
Solution : Given, The difference between 73% of a number and 45% of the same number = 112 Let the number be $x$. According to the question, $\frac{73}{100}x−\frac{45}{100}x=112$ ⇒ $\frac{28}{100}x=112$ ⇒ $x=\frac{100×112}{28}$ ⇒ $x=400$ Hence, the correct answer is 400.
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Question : The mean of five numbers is 45. If a sixth number is also included, the mean becomes 48. Find the sixth number.
Option 1: 73
Option 2: 63
Option 3: 43
Option 4: 53
Question : Find the value of $(9^2+4^3 \div 8) \times 5$.
Option 1: 445
Option 2: 420
Option 3: 450
Option 4: 400
Question : When a number is increased by 112, it becomes 170% of itself. Find the number.
Option 1: 160
Option 2: 150
Option 3: 200
Option 4: 180
Question : The difference between the two numbers is 45% of their sum. The ratio of the larger number to the smaller number is:
Option 1: 20 : 9
Option 2: 9 : 20
Option 3: 29 : 11
Option 4: 11 : 29
Question : INR 2,400 is divided among three kids in the ratio of 2 : 3 : 3. Find the lowest share.
Option 1: INR 500
Option 2: INR 600
Option 3: INR 700
Option 4: INR 400
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