TEST ON RATIO AND PROPORTION

1. The average age of three boys is 25 years and their ages are in the proportion 3 : 5 : 7. Find the age of the youngest boy.

2. If the angles of a triangle are in the ratio 2:7:11, then find the angles.

3. Two numbers are respectively 20% and 50% are more than a third number, Find the ratio of the two numbers.

4. If $782 is divided among three persons A, B and C in the ratio 1/2 : 2/3 : 3/4, then  find the share of A.

5. An amount of money is to be divided among P, Q and R in the ratio  3 : 7 : 12. The difference between the shares of P and Q is $2400. What will be the difference between the shares of Q and R ?

6. Carter's SUV requires 8 gallons of gasoline to travel 148 miles. How many gasoline, to the nearest gallon, will he need for 500 mile trip ?

7. If 5x : 3 = (x + 14) : 2, what is the value of x ?

8. If 15 people can repair a road of length 150 meters, at the same rate, how many people are needed to repair a road of length 420 meters.

9. John weighs 56.7 kilograms. If he is going to reduce his weight in the ratio 7 : 6, find his new weight.

10. If a : b = c : d = 2.5 : 1.5, what are the values of ad : bc and a + c  :  b + d ?