Q1. Find the number that can be added to each of the numbers 5, 7, 12, 15 to make them in proportion.
Ans - 9
Q2. The sides of a rectangle are in ratio 7 : 6. If its area is 378 cm2, find the ratio of its perimeter to its area.
Ans - 13 : 63
Q3. A profit of Rs 810 is divided between Amit and Rahul in the ratio14:1514:15. Find the difference of their profit.
Ans - 90
Q4. A is inversely proportional to the square of B. If A = 9, then B =3⎯⎯√=3, find B when A = 3
Ans - 3
Q5. A tiger chases a dear. The Tiger takes 3 leaps for every 5 leaps of deer. Distance covered by deer in 5 leaps is equal to the distance covered by the tiger in 2 leaps. Find the ratio of their speed.
Ans - 3:2
Q6. In two types of stainless steel the ratio of chromium and steel are 1 : 3 and 3 : 5 respectively. In what proportion should the two types be mixed so that the ratio of chromium to steel in mixed type becomes 1 : 2?
Ans - 1:2
Q7. In a cricket match, total runs scored by Kohli, Dhawan and Rahane is 261. The ratio of the runs scored by Kohli to that of Rahane is 6 : 5, and the ratio of runs scored by Rahane to that of Dhawan is 10 : 7. Find the number of runs scored by Kohli.
Ans - 108
Q8. The ratio of income of Atul and Amul is 4 : 5 and the ratio of their expenditure is 2 : 3. If they save Rs 5,000 & Rs 4,000 respectively, what is the income of Amul?
Ans - 17500
Q9. The ratio of total amount distributed in all the males and females as salary is 4 : 5, while the ratio of salary of each male and each female is 4 : 7. Find the ratio of no. of males & females.
Ans - 7:5
Q10. The ratio of the 3 AC and sleeper class fares between Bhubaneswar and Sambalpur is 5 : 3, and that of the number of passengers travelling by 3 AC and sleeper classes is 1 : 5. If on a day Rs 70,000 is collected as total fare, find the amount collected from the 3 AC class passengers.
Ans - 17,500
Q11. The price of diamond is directly proportional to the square of its weight. A person broke down the diamond in the ratio of 2 : 3 : 4, and after selling the broken parts he suffers a loss of Rs 5200. Find the initial price of the diamond.
Ans - 8100
Q12. 45 men together can build a wall 80m long in 3 days. Find the number of men required to build the same wall at the same rate in 1 day.
Ans - 135
Q13. If a : b : c = 1 : 2 : 3 and 3a + 4b – c = 24, find the value of b.
Ans - 6
Q14. The ratio of income of A & B one year ago was 2 : 3. The ratio of their last year income to current year income are 3 : 5 & 4 : 5. If their total current year income is Rs 17,000. Find the current year income of A.
Ans - 8000
Q15. If 1313 of A = 60% of B =2/3 of C, then A : B : C is equal to:
Ans - 18 : 10 : 9
