Question : There is a ratio of 5 : 4 between the two numbers. If 40 percent of the first number is 12, then 50% of the second number is:
Option 1: 12
Option 2: 24
Option 3: 18
Option 4: 20
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Correct Answer: 12
Solution : Given: The ratio of two numbers = 5 : 4 Let the numbers be $5x$ and $4x$. 40% of the first number = 12 So, $\frac{40}{100}\times 5x=12$ $⇒x=6$ $\therefore$ The first number = 5 × 6 = 30 and the second number = 4 × 6 = 24 Thus, 50% of 24 $=\frac{50}{100}\times 24=12$ Hence, the correct answer is 12.
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Question : The sum of the three numbers is 280. If the ratio between the first and second numbers is 2 : 3 and the ratio between the second and third numbers is 4 : 5, then find the second number.
Question : Two numbers are in the ratio 3 : 5. If 6 is added to each of them the ratio becomes 2 : 3. The numbers are:
Question : Of the three numbers whose average is 40, the first is $\frac{1}{3}$rd of the sum of the other two. What is the first number?
Question : Three numbers are in the ratio 5 : 7 : 12. If the sum of the first and the third numbers is greater than the second number by 50. The sum of the three numbers is:
Question : Three numbers are in the ratio 2 : 3 : 4. If the sum of their squares is 1856, the numbers are:
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