Question Detail

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.

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

1. In a college, the ratio of the number of boys to girls is 8 : 5. If there are 200 girls, the total number of students in the college is

Answer: Option B

Explanation:

Let the boy are 8x and Girls are 5x

=> 5x = 200
=> x = 40

Total students = 8x+5x = 13x = 13(40) = 520

2. In a mixture 60 litres, the ratio of milk and water 2 : 1. If the this ratio is to be 1 : 2, then the quanity of water to be further added is

20 liters
30 liters
50 liters
60 liters

Answer: Option D

Explanation:

Quantity of Milk = 60*(2/3) = 40 liters
Quantity of water = 60-40 = 20 liters

As per question we need to add water to get quantity 2:1

=> 40/(20+x) = 1/2
=> 20 + x = 80
=> x = 60 liters

3. There are two numbers and their ratio is 3 : 9. If we substract 9 from both numbers then their ratio becomes 12 : 13, what is value is smaller number ?

Answer: Option D

Explanation:

From question, lets assume that two numbers are 3x and 5x.

$\begin{aligned} \text{then, }\frac{3x - 9}{ 5x - 9} = \frac{12}{23}\\ => \text{23(3x - 9) = 12(5x - 9)}\\ => 9x = 99 \\ => x = 11 \end{aligned}$
So numbers are 3(11) = 33, 5(11) = 55.
Smaller number is 33.

4. 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:

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

5. If Rs. 782 is divided into three parts, proportional to
$\begin{aligned} \frac{1}{2}:\frac{2}{3}:\frac{3}{4} \end{aligned}$

find the first part.

Answer: Option B

Explanation:

$\begin{aligned} \frac{1}{2}:\frac{2}{3}:\frac{3}{4} \\ = 6:8:9\\ \text{First part =} 782 * \frac{6}{23} \\ = 204 \end{aligned}$

Rhea 11 years ago

2 mistakes :
1. in the beginning its 4/15 not 4/14
2. the answer is 484, not 480.
Hope this helps others

Question Detail

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.

1. In a college, the ratio of the number of boys to girls is 8 : 5. If there are 200 girls, the total number of students in the college is

2. In a mixture 60 litres, the ratio of milk and water 2 : 1. If the this ratio is to be 1 : 2, then the quanity of water to be further added is

3. There are two numbers and their ratio is 3 : 9. If we substract 9 from both numbers then their ratio becomes 12 : 13, what is value is smaller number ?

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

5. If Rs. 782 is divided into three parts, proportional to
$\begin{aligned} \frac{1}{2}:\frac{2}{3}:\frac{3}{4} \end{aligned}$

find the first part.

Thanks ! Your comment will be approved shortly !

Rhea 11 years ago

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Question Detail

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.

1. In a college, the ratio of the number of boys to girls is 8 : 5. If there are 200 girls, the total number of students in the college is

2. In a mixture 60 litres, the ratio of milk and water 2 : 1. If the this ratio is to be 1 : 2, then the quanity of water to be further added is

3. There are two numbers and their ratio is 3 : 9. If we substract 9 from both numbers then their ratio becomes 12 : 13, what is value is smaller number ?

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

5. If Rs. 782 is divided into three parts, proportional to 12:23:34\begin{aligned} \frac{1}{2}:\frac{2}{3}:\frac{3}{4} \end{aligned} find the first part.

Thanks ! Your comment will be approved shortly !

Rhea 11 years ago

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5. If Rs. 782 is divided into three parts, proportional to
$\begin{aligned} \frac{1}{2}:\frac{2}{3}:\frac{3}{4} \end{aligned}$

find the first part.