If x:y = 4:5, then (3x + y):(5x 3y) =
If x:y = 4:5, then (3x + y):(5x 3y) =
If x:y = 4:5, then (3x + y):(5x 3y) =
Nithin ? undefined
Correct answer is: 17 : 35
Explanation:
\(=\frac{x}{y}= \frac{4}{5}\)
\(= \therefore\frac{3x+y}{5x+3y} = \frac{3\frac{x}{y}+1}{5\frac{x}{y}+3}\)
\(\implies \frac{\frac{12+5}{5}}{7}\)\(\implies \frac{17}{35}\)
The age of Sonal and Nitya are in the ratio of 9 : 5 respectively. After 8 years the ratio of their age will be 13 : 9. What is the difference (in years) between their age?
Nithin ? undefined
Correct answer is: 8 years
Explanation:
Let the present age of Sonal and Nitya be 9x and 5x years respectively
According to the question,\(\frac{9x+8}{8x+8}=\frac{13}{9}\)
\(\implies 81x + 72 = 65x + 104\)
\(\implies 81x - 65x = 104 - 72\)
\(\implies 16x = 32\)
\(\implies x = \frac{32}{16} = 2\)
Therefore, Required difference = \(9x - 5x\) = \(4 \times 2\) = 8 years
The sum of the three consecutive odd numbers is 285. What is the ratio of the smallest and largest numbers respectively?
Nithin ? undefined
Correct answer is: 93 : 97
Explanation:
x + x + 2 + x + 4 = 285
\(\implies 3x = 285 - 6 = 279\)
\(\implies x = = 93\)
Therefore, Required ratio = 93 : 97
A camel pursues an elephant and takes 5 leaps for every 7 leaps of the elephant, but 5 leaps of elephant are equal to 3 leaps of camel. What is the ratio of speed of camel and elephant?
Nithin ? undefined
Correct answer is: 25 : 21
Explanation:
Required ratio = \(\frac{5}{3} : \frac{7}{5}\)
\(= \frac{5}{3} \times 15 : \frac{7}{5} \times 15 = 25 : 21\)
A shopkeper placed on display some shirts each with a marked price. He then posted a board $\frac{1}{4}$ off on shirts". If the cost of a shirt was $\frac{2}{3}$ of the price at which it was actually sold, the ratio of cost and marked price 01' shirt was
Nithin ? undefined
Correct answer is: 1 : 2
Explanation:
Let. S.P. of shirt = x
\(\text{C.P = }\frac{2x}{3}\)
Therefore, Marked price
\(= \frac{4}{3} \times x = \frac{4x}{3}\)
Therefore, Required ratio = \(\frac{2x}{3} : \frac{4x}{3} = 1 : 2\)