CAT: Ratio Proportion Test

The monthly incomes of three employees, Arun, Bharat and Chetan are initially in the ratio 5 : 6 : 7, respectively. During the first year, their incomes increase by 20%, 25% and 20%, respectively. In the following year, Arun and Chetan receive increments of 40% and 25%, respectively. After this increment, Bharat’s income becomes equal to the average income of all three employees. What is the percentage increase received by Bharat in the second year?

A prize amount is distributed among three winners Ravi, Karan and Mohan. The ratio of Ravi’s prize to Karan’s prize is 3 : 2, while the ratio of Karan’s prize to Mohan’s prize is 4 : 5. If the difference between the largest and smallest prizes is ₹400, how much money does Karan receive?

The value of a gemstone varies directly as the square of its weight. A gemstone weighing 18 units is divided into four pieces, each having a different positive integer weight. The difference between the maximum and minimum possible total values of the four pieces is ₹2,88,000. What is the value of the original gemstone?

At a railway station, Rahul is waiting in a queue to purchase a ticket. The number of people standing before Rahul and the number standing after him are in the ratio 3 : 5. If the queue contains fewer than 300 people in total, what is the maximum possible number of people standing before Rahul?

The monthly earnings of Arun, Bharat and Chetan were in the ratio 6 : 5 : 7 in 2010, while their earnings were in the ratio 3 : 4 : 3 in 2015. If Arun's earnings increased by 25% between 2010 and 2015, what was the approximate percentage increase in Chetan's earnings during the same period?

Two wildlife researchers record the number of birds spotted each week. The numbers recorded by researchers A and B are in the ratio 3 : 4. The number recorded by A in 5 weeks is a multiple of 7, while the number recorded by B in 3 weeks is a multiple of 24. What is the minimum possible number of birds recorded by A in one week?