1. Ratio of weight of A and B is 7/2 If the weight of A were 2 kg less, the ratio would have been 7/6. What is the present weight of ‘A’?

2. The ratio of the number of students appearing for a bank exam in the year 2011 in the states A, B and C was 4 : 5 : 6. Next year if the number of students in these states increases by 30%, 20% and 30% respectively, the ratio in states A and C would be 2 : 3. What was the number of students who appeared for the bank exam in the state A in 2011?

3. 1945 chocolates have to be divided between 12 men, 11 women, and 8 children. Each man, woman, and children gets chocolates in the ratio of 11 ∶ 11 ∶ 17. What is the share of men?

4. The amount of money Shane spends on food is directly proportional to the square of date. During March, he spent Rs. 339 on food on 7th and 8th March. How much will he spend on food in last 7 days of March?

5. The ratio between the time taken by three cars (A, B and C) that travel the same distance is 12 : 15 : 10. If VA=60 km/hr Find VB.

6. If \(\frac = \;\frac\), find the value of \(\frac{a}{b}\)

7. The ratio of third proportional to 16 and 20 and the mean proportional of 16 and 4 is:

8. What number should be subtracted from both 31 and 40 so that their third proportional is 5 more than 43?

9. The ratio of third proportional to 12 and 18 and the mean proportional of 3 and 12 is

10. Ram, Shyam and Raman get their salary in the ratio 3 : 5 : 7. If Ram and Shyam get Rs. 2000 after 25% canteen expenses been cut from their salary. How much money Raman will get if he don’t eat canteen food.

11. The ratio of x and y is 9 : 16. If both x and y are increased by 15, then the ratio becomes 2:3. Find x and y.

12. Find mean proportional between \(\begin{array}{l} \left( {15 + \sqrt {200} } \right){\rm{\ and\ }}\left( {27 - \sqrt {648} } \right)\\ \end{array}\)

13. If (sin x + cos x)/ (sin x – cos x) = (9 + √11)/(9 - √11), find the value of tan x.

14. The ratio of third proportional of P and Q and fourth proportional of P, Q and R is 7 : 11. Find the value of Q/R.

15. Amardeep invested a certain amount in Debit and Equity Funds in the ratio of 5 : 4 respectively. At the end of one year, he earned a total dividend of 30% on his investment. After one year he reinvested the amount including dividend in the ratio of 6 : 7 in Debit and Equity Funds. If the amount reinvested in Equity Funds was Rs. 1,35,450, what was the original amount invested in Equity Funds?

16. To buy an item, Maria was supposed to give 73 notes of 20 rupees and 3 coins of 5 rupees to seller. Due to a misunderstanding, she gave 73 notes of 20 rupees and seller gave her back 3 coins of 5 rupees. What is the ratio of amount of money she was supposed to give and what she actually gave?

17. What is the value of x, if it is 2% of the fourth proportional to 6, 7 and 36?

18. In a case, a detective has to find a secret code that is a ratio. Hint to that ratio is that is resulting ratio when among two numbers whose ratio is 4 : 5, first is increased by 20% and the second is decreased by 20%. Help the detective to find the ratio of the resulting numbers.

19. The ratio of daily incomes of P and Q is 9 : 7 and the ratio of their expenditures is 4: 3. If each saves Rs. 200 per day, then the sum of their daily incomes is :

20. The ratio of number of employees in Aerospace, Chemical industry and Software industry is 3 : 5 : 8. What is the new ratio of the number of employees in Aerospace, Chemical industry and Software industry respectively if there is an increase of 20%, 40% and 25% in the number of employees in Aerospace, Chemical industry and Software industry?

21. If a + b + c = 1 and ab + bc + ca = ⅓ then a : b : c is

22. Wayne wants to use Nitrogen, Potassium, and Phosphorus in his field as fertilizers. When any of them is mixed in the field, its quantity reduces by 1 kg every day due to chemical reactions. He mixed Nitrogen, Potassium, and Phosphorus on 7th November, 9th November, and 15th November, respectively. He spent equal amounts on buying each of the three. What should be the ratio of prices of Nitrogen, Potassium, and Phosphorus, so that there is an equal quantity of each of them in the field on 16th November, and that quantity is 11 kg?

23. Ratio of two fractions a/b and b/c respectively is equal to 4. If denominator of first fraction is equal to the numerator of the second, find the relation b/w numerators and denominators of each fraction.

24. The angles in a quadrilateral PQRS are such that angle S is fourth proportional of angles P, Q and R. If the ratio of angles Q and P is 5 : 4, and angle S is 125°, find the measure of angle R.

25. 5 years ago, the age of Diksha's grandfather was 6 times that of Diksha and after 10 years from now, her Grandfather will be 3 times of her age. Find the ratio of Diksha and her Grandfather’s present age.

26. What will be the sum of third proportional to 18 and 54 and fourth proportional to 12, 18 and LCM of 12 and 18?

27. The total number of employees in three departments – Operations, Marketing and Sales are 333. The number of employees in Operations and Marketing are in the ratio 3 : 5 and those in marketing and sales are in the ratio 7 : 11. Find the number of employees in the department that had highest number of employees

28. If \(\frac{m}{n} = \frac{9}{7}\), then find the cube of \(\frac{n}\) up to two places of decimal-

29. If the ratios of a number 't' : a number three less than the number 't’ is compounded with ‘a number five more than the number 't' : The number 't’, the resulting ratio is 4: 3, then what is the value of t?

30. If A : B = 8 : 15, B : C = 5 : 8 and C : D = 4 : 5, then A : D is equal to –