CMAT Ratios and Proportion of Line Practice Questions With Solutions

Amit can do 50% more work than Bhushan in same time. Bhushan alone can do a piece of work in 30 hours. Bhushan starts working and had already worked for 12 hours when Amit joins him. How many hours should Bhushan and Amit work together to complete the remaining work?

Given below are two statements:

Statement II : If the circumference and the area of a circle are numerical equal, then
the diameter is equal to 4.

Three vessels 'P', 'Q' and 'R' of same capacity are all full. Vessels 'P' and 'Q' contain mixture of milk and water in the ratios 4 : 1 and 7 : 3 respectively while vessel 'R' contains
only pure milk. The contents of these vessels are poured into a larger vessel 'S'. After drawing 30 litres of mixture from vessel 'S', the final quantity of water left in vessel 'S' is 40 litres, then the capacity of each vessel is :

In a circus there were a leopard and a tiger walking in the two different rings having same radii. It was observed that when leopard moved 3 steps, tiger moved 5 steps in the same time, but the distance traversed by leopard in 5 steps is equal to the distance traversed by tiger in 4 steps. How many rounds that a leopard made t ill when tiger completed 100 rounds?

There are three bottles of mixture of syrup and water in the ratios 2 : 3, 3 : 4 and 7 : 5. 10 litres of first and 21 litres of second bottles are taken. How much quantity of mixtures from third bottle is to be taken so that the final syrup and water ratio of mixture from three bottles will be 1 : 1 if the final mixture from all the three bottles is added and mixed in a big container?

Reema had 'n' chocolates. She distributed them among 4 children in the ratio of $\frac{1}{2} : \frac{1}{3} : \frac{1}{5} : \frac{1}{8}$. If she gave them each one a complete chocolate, the minimum number of chocolates she had distributed.

Alpha and Beta are two chemical fertilizers. Alpha consists of N, P, Kand Beta consists of N and P. A mixture of Alpha and Beta is prepared in which the ratio of N, P and K is 26%, 68% and 6%. The ratio of N, P, K in Alpha is 20%, 70% and 10%. What is the ratio of N and P in Beta?

In a race A, B and C take part A beats B by 30 meters, B beats C by 20 meters and A beats C by 48 meters.
Given below are two statements:
Statement I : The length of the race is 300 meters.
Statement II : The speed of A, Band C are in the ratio 50 : 45 : 40.
In the light of the above statements, choose the correct answer from the options given below:

Anand's income is ₹ 140 more than Biren's income and Chandu's income is ₹ 80 more than Deepak's. If the ratio of Anand's & Chandu's income is 2 : 3 and the ratio of Biren's and Deepak's income is 1 : 2 , then the incomes of Anand, Biren, Chandu and Deepak are respectively:

Number of kurtis (linen and cotton) sold by store D is what percent more than the number of linen kurtis sold by store B?

What is the difference between average number of linen kurtis sold by stores D and E together and average number of cotton kurtis sold by the same stores together?

What is the respective ratio between number of kurtis (linen and cotton) sold by store C and number of linen kurtis sold by store F?