Ratio and Proportion Questions and Answers for Exams

The diameter of two cones is the same. If the ratio of their slant height is 5 : 4, then find the ratio of their areas. 

Six years ago, the ratio of the ages of the two persons P and Q was 3:2. Four years hence the ratio of their ages will be 8:7. What is P’s age?

If a cuboid of dimensions 64cm×16cm×8cm is melted and recast into two equal cubes of same size. Then what will be the ratio of the surface are of cuboid to the total surface area of the two cubes?

A sum of Rs 125 is divided among u, v and w in such a way that u gets Rs 10 more than v and v gets Rs 5 more than w. What is the ratio of their shares?

Seven year ago, the ages (in years) of A and B were in the ratio 4 : 5 and 7 years hence, their ages will be in the ratio 5 : 6. What will be the ratio of their ages 5 years from now?

Three numbers are in the ratio of 5: 6: 7. If the product of those numbers is 5670 then the largest number is-

Cost of a stone varies directly as the square of its weight. A stone broke into four pieces with their weights in the ratio 1 : 2 : 3: 4. If the loss in the total value of the stone  was Rs.7000, the price of the original stone was

A number is divided into 3 parts A, B and C in the ratio of 3:2:1. If half of the number is 54, then find the square of the smallest number?

If $$ {y\over {x-3}}={y+x\over 3}={x\over y}$$ then 3 : y : x equal to :

A and B started business with the initial investment in the ratio 12:11 and their profit in the business were 4x and x respectively. If A invested the money for 11/12 year, then B invested the money for?