Question Detail

Two numbers are respectively 20% and 50% more than a third number. The ratio of the two numbers is

Answer: Option C

Explanation:

Let the third number be x.
First Number (120/100)*x = 6x/5
Second Number (150/100)*x = 3x/2

Ratio = 6x/5:3x/2
=> 4:5

1. If 2 : 9 :: x : 18, then find the value of x

Answer: Option C

Explanation:

Treat 2:9 as 2/9 and x:18 as x/18, treat :: as =

So we get 2/9 = x/18
=> 9x = 36
=> x = 4

2. if x:y = 1:3, then find the value of
(7x+3y):(2x+y)

14:5
15:5
16:5
17:5

Answer: Option C

Explanation:

let x = 1k and y = 3k, so

$\begin{aligned} = \frac{7(k)+3(3k)}{2(k)+1(3k)} \\ = \frac{16k}{5k} \\ = 16:5 \end{aligned}$

3. If A:B = 2:3, B:C = 4:5 and C:D = 6:7, then find the value of A:B:C:D

15:24:30:35
16:24:30:35
17:24:30:35
18:24:30:35

Answer: Option B

Explanation:

$\begin{aligned} A:B = 2:3 \\ B:C = 4:5 = (4*\frac{3}{4} : 5*\frac{3}{4}) \\ = 3:\frac{15}{4} \\ C:D = 6:7 = (6*\frac{15}{24} : 7*\frac{15}{24}) \\ = \frac{15}{4}:\frac{35}{8} \\ A:B:C:D = 2:3:\frac{15}{4}:\frac{35}{8} \\ = 16:24:30:35 = 8:12:9 \end{aligned}$

4. A and B together have Rs. 1210. If 4/15 of A's amount is equal to 2/5 of B's amount. How much amount B have.

Rs 484
Rs. 480
Rs 478
Rs 470

Answer: Option A

Explanation:

In this type of question, we will first try to calculate the ratio of two persons. Once we get ratio then we can easily get our answer. So lets solve this.

$\begin{aligned} \frac{4}{15}A = \frac{2}{5}B \\ A = \left(\frac{2}{5}*\frac{14}{4}\right)B \\ A = \frac{3}{2}B \\ \frac{A}{B} = \frac{3}{2} \\ A:B = 3:2 \\ \text{B's Share = }\frac{2}{5}*1210 = 484 \end{aligned}$

5. Salaries of Ravi and Sumit are in the ratio 2:3. If the salary of each is increased by Rs 4000, the new ratio becomes 40:57. What is Sumit present salary.

32000
34000
38000
40000

Answer: Option C

Explanation:

Let the original Salaries of Ravi and Sumit is 2x and 3x.

So as per question

$\begin{aligned} \frac{2x+4000}{3x+4000} = \frac{40}{57} \\ => 57(2x+4000) = 40(3x+4000) \\ => 6x = 68000 \\ => 3x = 34000 \\ \text{ Sumit Salary =} 3x+4000 \\ 34000 + 4000 = 38000 \end{aligned}$

sidra rehman 6 years ago

Two numbers are respectively 10% and 20% more than a third number. The ratio of the two numbers is ?
answer is : 10% is 110 and 20% is 120 now cancel out both with 100 so it gives 11 and respectively.. ratio is 11: 12