In a ratio which is equal to 5 : 8. If the antecedent is 40 then consequent is ?
In a ratio which is equal to 5 : 8. If the antecedent is 40 then consequent is ?
In a ratio which is equal to 5 : 8. If the antecedent is 40 then consequent is ?
Nithin ? undefined
Correct answer is: 64
Explanation:
∵ 5 : 8 : : 40 : N
N = \(\frac{40 \times 8}{5}\)
∴ consequent N = 64
The difference between the present age of Anil and Sudhii is 6 years. The ratio between their age after 4 years will be 3 : 4. What can be the present age of Sudhir?
Nithin ? undefined
Correct answer is: 20 years
Explanation:
After four years.
Anil a = 3x years
Sudhir = 4x years
In the present,
4x - 4 - 3x + 4 = 6 => x = 6
Therefore, Sudhir's present age = 4x - 4 = \(4 \times 6 - 4\)= 20 years
The price of sugar is increased by 20%. If the expenditure is not allowed to increased. Then ratio between the reduction in consumption and the original consumption ?
Nithin ? undefined
Correct answer is: 1 : 6
Explanation:
Reduction in consumption = \(\frac{20}{120} \times 100 \text{%} = \frac{50}{3}\text{%}\)
∴ Reduction in consumption /Original consumption = \(\frac{\frac{50}{3} }{100} = \frac{1}{6} = 1 : 6\)
The ratio between the rates of travelling of A and B is 2 : 3 and therefore A takes 20 min more than time taken by B to reach a destination. If A had walked at double the speed, how long would he have taken to cover the distance?
Nithin ? undefined
Correct answer is: 30 min
Explanation:
We know that speed is inversely proportional to time. Therefore,
Time taken by A : Time taken by B =
Let B takes x min. Then, A takes (x + 20) min.\(\therefore \left(x+20\right) : x = \frac{1}{2}:\frac{1}{3}=3:2\)
\(\implies \frac{x+20}{x}=\frac{3}{2} \implies 2x+40 = 3x\)
\(x=40 \)
\((x+20) \text{ or } \left(40+20\right) = 60 min\)
Therefore,
At double the speed, A would have covered it in 30 min.
The ratio between two numbers is 2 : 3. If each number is increased by 4. the ratio between them becomes 5 : 7, the difference between the numbers is
Nithin ? undefined
Correct answer is: 8
Explanation:
Let. Numbers 2x and 3x
Therefore, \(\frac{2x+4}{3x+4}=\frac{5}{7}\)
\(\implies 15x + 20 = 14x + 28\)
\(\implies x = 28 - 20 = 8\)
=Difference between numbers.