The monthly incomes of Peter and Paul are in the ratio of 4 : 3. Their expenses are in the ratio of 3 : 2. If each saves Rs. 6,000 at the end of the month, their monthly incomes respectively are (in Rs.)
24,000 and 18,000
The monthly income of Peter and Paul will be 4A:3A and monthly expenses be 3Y:2Y. Now we will see how much Peter and Paul have saved by computing 4A – 3Y and 3A – 2Y. If Peter and Paul save Rs 6,000/- each, then we can write this as: 4A – 3Y = 6000 -----1 3A – 2Y = 6000------2 On manipulating we get A=Y, so considering 4A – 3Y = 6000 and replacing Y with A, we get A as 6,000/-, Therefore we see that monthly income of Peter and Paul will be 3Y=18,000 and by replacing 3Y=18,000 in equation 1, we have 4A= 240000 hence option A is correct.
Important Questions from Ratio and proportion
A sum of Rs. 2,500 is distributed among X, Y and Z in the ratio 1/2 : 3/4 : 5/6 . What is the difference between the maximum share and the minimum share?
In a class, there are three groups A, B and C. If one student from group A and two students from group B are shifted to group C, then what happens to the average weight of the students of the class?
How many different sums can be formed with the denominations Rs. 50, Rs. 100, Rs. 200, Rs. 500 and Rs. 2,000 taking at least three denominations at a time?
In a 500 metres race, B starts 45 metres ahead of A, but A wins the race while B is still 35 metres behind. What is the ratio of the speeds of A to B assuming that both start at the same time?
A class starts at 11:00 am and lasts till 2:27 pm. Four periods of equal duration are held during this interval. After every period, a rest of 5 minutes is given to the students. The exact duration of each period is:
