Ratio
Ratio: Overview
This topic covers concepts, such as, Understanding Proportion as Equality of Ratios, Statement of Proportions, Third Proportional & Mean Proportional etc.
Important Questions on Ratio

An alloy contains zinc, copper and tin in the ratio and another contains copper, tin and lead in the ratio . If equal weights of both alloys are melted together to form a third alloy, then the weight of lead per kilogram in the new alloy will be

The ratio is said to be not in the simplest form if common factor is _____.

A number is first increased by and then it is further increased by . The original number is increased altogether by -

If a quantity is divided in the ratio , the larger part is . Find the quantity.

The ratio of ducks and frogs in a pond is respectively. The average number of ducks and frogs in the pond is . What is the number of frogs in the pond?

Two quantities can be compared only if they are in the same _____.

If the lengths of the sides of a triangle are in the ratio 4:5:6 and the inradius of the triangle is 3cm, then the altitude of the triangle corresponding to the largest side as base is:

A person spends Rs 8,100 in buying some tables at 1,200 each and some chairs at Rs.300 each. The ratio of the number of chairs to that of tables when the maximum possible number of tables is purchased, is

In what proportion must tea at ₹. /kg be mixed with tea at ₹. /kg in order to obtain the mixture worth ₹ /kg ?

The ratio of water and alcohol in two different containers is and . In what ratio we are required to mix the mixtures of two containers in order to get the new mixture in which the ratio of alcohol and water be ?


In a card-board box, there are different pairs of three different types of hand gloves used by each Cricket batsman. They are separated as single units from all pairs of gloves and are all mixed in the box. From outside, one cannot see the gloves but can put the hands through the cardboard box's pigeon hole and take one glove out at a time. What will be the minimum number of times one should take out the gloves one by one to get one perfect pair of gloves for sure ?

What of numbers from to have or in the unit's digit?

A box has coins of denominations one- rupee and fifty paise only. The ratio of their respective values is . The number of one rupee coins is


In a set of numbers the sum of two of these numbers is more than the sum of the remaining three numbers, whereas the sum of these three numbers is two times one of those two numbers. What definitely is one of those two numbers?

The ratio of the number of boys and girls in a school was . Some new boys and girls were admitted to the school, in the ratio of . After this, the total number of students in the school became , and the ratio of boys to girls changed to . The number of students in the school before new admissions was


