• # Commercial Mathematics - Daily Practice Worksheet 2

Mixed Revision on-

1. Taxes
2. Simple and Compound Interest
3. Profit and Loss
4. Discounts
5. Direct and Inverse Ratios / Variance

Question. 1 Given that both u and v vary directly with each other. When u is 10, v is 15. Which of the following pairs does not meet the above conditions for the corresponding values of u and v?

(a) 2 and 3

(b) 8 and 12

(c) 15 and 20

(d) 25 and 37.5

Question. 2 Given that both x and y vary inversely with each other. When x is 10, y is 6. Which of the following pairs does not meet the above conditions for the corresponding values of x and y?

1. 12 and 5
2. 15 and 4
3. 25 and 2.4
4. 45 and 1.3

Question. 3 Assume that a piece of land is uniformly fertile. The area of land and the yield or produce from the land varies

1. directly with each other
2. inversely with each other
3. neither directly nor inversely with each other
4. 4. sometimes directly and sometimes inversely with each other

Question. 4 The number of teeth and the age of a person varies

1. directly with each other
2. inversely with each other
3. neither directly nor inversely with each other
4. sometimes directly,and sometimes inversely with each other

Question. 5  A vehicle needs 54 litres of diesel to cover a distance of 297 km. To cover a distance of 550 km, the amount of diesel required by the truck is

1. 100 litres
2. 50 litres
3. 25.16 litres
4. 25 litres

Question . 6   A car travels at a speed of 48 km/h to finish a certain journey in 10 hours. In order to cover the same distance in 8 hours, the speed of the car should be

1. 60 km/h
2. 80 km/h
3. 30 km/h
4. 40 km/h

Question. 7  Which of the following varies inversely with each other?

1. Speed and distance covered
2. Distance covered and taxi fare
3. Distance traveled and time taken
4. Speed and time taken

Question. 8 In which of the following cases, do the quantities vary directly with each other?

Question. 9 :  If both x and y are in direct proportion, then 1/x and 1/y are

1. in direct proportion
2. in inverse proportion
3. neither in direct nor in inverse proportion
4. sometimes in direct and sometimes in inverse proportion

Question. 10 :   Meena cycles to her school at an average speed of 12 km/h and takes 20 minutes to reach her school. In order to reach her school in 12 minutes, her average speed should be

1. 20/3 km/h
2. 16 km/h
3. 20 km/h.
4. 15 km/h

Question. 11 Both x and y vary directly with each other. When x is 10, y is 15, which of the following is not a possible pair of corresponding values of x and y?

(a) 2 and 3

(b) 8 and 12

(c) 15 and 20

(d) 25 and 37.5

Question 12. In a camp, 100 people had food provision for 24 days. If 20 persons left the camp, the food provision will last for

(a) 30 days

(b) 96/5 days

(c) 120 days

(d) 40 days

Question 13: If two quantities u and v vary directly with each other, then

1. u/v  remains constant
2. u – v remains constant
3. u + v remains constant ‘
4. u v remains constant

Question. 14 If two quantities u and v vary inversely with each other, then

1. u/v  remains constant
2. u + v remains constant
3.   u x v remains constant
4.   u – v remains constant

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Daily Practice - Mathematics 