Ratio And Propo...

If A : B = 3 : 4, B : C = 5 : 6 and C : D = 11 : 9, find the value of A : D.

If a : b = 3 : 4, then (6a + b) : (4a + 5b) is equal to

If 2x = 3y = 4z, then x : y : z is equal to

The ratio of number of boys and girls in a school of 720 students is 7 : 5. How many more girls should be admitted to make the ratio 1 : 1?

In a mixture of 60 litres, the ratio of milk to water is 2 : 1. If the ratio of milk to water needs to be 1 : 2, then the amount of water (in litres) to be added further is

The ratio of A's money to B's money is 3 : 7 and the ratio of B's money to C's money is 2 : 1. If A has $600, C has

The sum of two numbers is 40 and their difference is 4. Find the ratio of the numbers.

A profit of $84 is divided between A and B in the ratio of : . What amount will A and B get?

If a : b = 2 : 3, b : c = 3 : 4, c : d = 4 : 5, find a : b : c : d.

If A walks 5 km in 2 hours and B walks 500 m in 45 minutes, find the ratio of their speeds.

The sum of three numbers is 98. The ratio of the first two numbers is 2 : 3 and that of the last two numbers is 5 : 8. Find the 2^nd number.

The marks scored by Steve and Tony bears a ratio 3 : 5 and the difference between their marks is 32. Find their individual marks.

David gave a portion of his money to Arnold. Arnold in turn gave one-third of what he received to Rosy and Rosy gave one half of what she received to Pat. If Pat got $5, how much money did David have?

Find two numbers which are in the ratio 3 : 4 and when 7 is subtracted from each, the remainders are in the ratio 2 : 3.

A, B and C brought mangoes in the ratio 5 : 3 : 2. If the difference between number of mangoes with A and C is 60, then find the difference between the number of mangoes with B and C.

A bag contains 25-cent, 10-cent and 5-cent coins in the ratio 1 : 2 : 3, respectively. If the total value of the coins is $36, the number of 25-cent coins is (1 $ = 100 cents)

Instead of dividing $117 among A, B and C in the ratio , we divided the sum in the ratio 2 : 3 : 4. Who gained the most and by what amount?

Two numbers are in the ratio 5 : 7. If nine is subtracted from each of them, their ratio becomes 7 : 11. Find the numbers.

If 1,000 copies of a book of 13 sheets require 26 reams of paper, how many reams of paper are required for 5,000 copies of a book of 17 sheets?

In an agricultural farm, there are 3618 trees consisting of cashew nut, mango and coconut trees in the ratio 1 : 3 : 5. Find the number of mango trees in the farm.

A sum of Rs. 407 is to be divided among A, B and C so that their shares are in the ratio . Find their respective shares.

In what proportion must wheat at $1.80 per kg be mixed with wheat at $2.50 per kg, so that the mixture be worth $2.0 per kg?

An alloy contains 24% of tin by weight. How much more tin to the nearest kg must be added to 100 kg of the alloy so that the percentage of tin will be doubled?

A mixture contains milk and water in the ratio 5 : 1. On adding 5 litres of water, the ratio of milk and water becomes 5 : 2. Find the quantity of milk in the original mixture.

Metals X and Y are to be used for making two different alloys. If the ratio of weights of X and Y in the first alloy is 6 : 5 and that in the second alloy is 7 : 13, then how many kg of X metal must be melted along with 11 kg of the first alloy and 20 kg of the second alloy to produce a new alloy containing 40% of metal Y?