Ravi and Govind have money in the ratio 5 : 12 and Govind and Kiran also have money in the same ratio 5 : 12. If Ravi has Rs. 500, Kiran hasa)Rs.2500b)Rs.2880c)Rs.1850d)Rs.3100e)None of theseCorrect answer is option 'B'. Can you explain this answer?

Question

Answer

Let Ravi's money be 5x
therefore Govind's money =12x
5x=500
therefore x=100
therefore Govind have 12×100=1200
now,
let Govind's money be 5 y
therefore Kiran's money=12y
5y=1200
therefore y=240
therefore kiran have 12y=12×240=Rs. 2880

Answer

To solve this problem, we can use the concept of ratios and proportions. Let's break down the problem step by step:

Step 1: Given ratios
We are given two ratios:
1) Ravi and Govind have money in the ratio 5:12
2) Govind and Kiran have money in the ratio 5:12

Step 2: Let's assume a value for Govind's money
Since we are given Ravi's money, let's assume a value for Govind's money. Let's say Govind has Rs. x.

Step 3: Calculate the amounts for Ravi and Govind
Using the first ratio, we can set up the following proportion:
5/12 = 500/x

Cross-multiplying, we get:
5x = 12 * 500
5x = 6000
x = 6000/5
x = 1200

So, Govind has Rs. 1200.

Step 4: Calculate the amounts for Govind and Kiran
Using the second ratio, we can set up the following proportion:
5/12 = 1200/y

Cross-multiplying, we get:
5y = 12 * 1200
5y = 14400
y = 14400/5
y = 2880

So, Kiran has Rs. 2880.

Step 5: Find Kiran's money when Ravi has Rs. 500
Since we know that Govind has Rs. 1200 and Kiran has Rs. 2880, we need to find the ratio between Govind's and Kiran's money when Ravi has Rs. 500.

The ratio between Ravi and Govind's money is 5:12. Since we know Ravi has Rs. 500, we can set up the following proportion:
5/12 = 500/x

Cross-multiplying, we get:
5x = 12 * 500
5x = 6000
x = 6000/5
x = 1200

So, when Ravi has Rs. 500, Kiran has Rs. 1200.

Therefore, the correct answer is option (B) Rs. 2880.

Similar Quant Doubts

A and B have money in the ratio 2 : 1. If A gives Rs. 2 to B, the money will be in the ratio 1 : 1. What were the initial amounts they had?

Kiran can do a work in 20 days, while Karan can do the same work in 25 days. They started the work jointly. Few days later Suman also joined them and thus all of them completed the whole work in 10 days. All of them were paid total Rs.1000. What is the share of Suman?

The ratio of present ages of Ramya and Karan’s age is 4:5 and the ratio of present ages of Karan and Priya is 2:5 respectively. If Ramya is two-fifth of Priya’s age, What is Ramya’s age?

Top Courses for Quant

Suggested Free Tests

Related Content

Quant Courses

Related Exams

Related Question Answers

Related Searches

Company