RATIO AND PROPORTION

For three numbers, the ratio of the first and the second number is 2 : 3 and that of the second and the third number is 4 : 5. If the sum of the three numbers is 140, then what is the second number?

The ratio of the age of Ram and Shyam 15 years ago was 2 : 5. The ratio of their present ages is 5 : 8. What will be the present age of Shyam?

A diamond weighing 35 grams cost Rs. 12,250 is cut down into two pieces having weights in the ratio of 5 ∶ 2. If the price directly proportional to the square of the weight then find the loss incurred.

The ratio of two number is 9 : 16 and their HCF is 34. Calculate the LCM of these two numbers.

A sum of Rs. 782 is distributed among P, Q and R in the ratio of 1/2 ∶ 2/3  ∶ 3/4 . What is the amount that R will get ?

The ages (in years) of Hari and Harry are in the ratio 5 ∶ 7. Four years from now, the ratio of their ages will be 3 ∶ 4. Their present ages are : 

The ratio of the number of boys and girls in a school is 12 ∶ 13. If there are 372 boys, then the total number of students in the school is :

In a school, the ratio of the number of boys and girls is 3 ∶ 2. If 30% of the boys and 20% of the girls are scholarship holders, then the percentage of students that do not get scholarships is

A 624 litres of mixture contains milk and water in the ratio 19 ∶ 20. How much milk must be added to the mixture so that it contains milk and water in the  proportion of 3 ∶ 2? (In litres)

Three numbers are in the ratio 19 : 21 : 23. If the difference between thrice the third number and the sum of first and second number is 841. Find the difference between the first and third number? 

The ratio between two numbers is 2 ∶ 3. If their LCM is 150. Then the numbers are

Pass percentage of a school for six years starting from 2003 to 2008 are 45, 56, 42, 61, 55 and 52 respectively. If the ratio of students who appeared for the examination in the years 2003 to 2008 are 2:3:4:3:2:3, then the pass percentage of the school in the six years together is:

If a sum of Rs. 3540 is divided in three parts in a ratio of 2 : 6 : 7, then the largest part will be:

In what ratio must a grocer mix two varieties of pulses costing ₹15 and ₹20 per kg, respectively, so as to get a mixture worth ₹18 per kg?

The average score of 84 students (boys and girls) in a test is 95. The ratio of the number of boys to that of girls is 10 : 11. The average score of the boys is 20% less than that of the girls. What is the average score of the boys in the test?

Three numbers are in the ratio 2 : 3 : 4. If the sum of their squares is 2349, then the numbers are

In what ratio should water be mixed with wine, that costs Rs. 60 per liter, so that the price of the resultant mixture is Rs.40 per litre?

If x : y = 6 : 5 and z : y = 9 : 25, then what is the ratio of x : z?