Profit and loss questions for TET Exam

Profit and loss For Ctet Exams

Question 1: A man sold a fan for Rs 465. Find the cost price , if he incurred a loss of 7%.

Options
32.55
520
500
515 





Question 2:In a transaction the profit % is 80%. If the cost further increases by 20% but selling price remains the same, how much is the decrease in profit %?

Options
10%
30%
20%
40% 



Question 3:A man bought some toys at rate of 10 for Rs 40 and sold at 8 for Rs 35. Find his gain or loss %

Options
9.375%
6.135%
8.215%
7.235%






Question 4:If Sp is 1.5 times the cp, find profit %.

Options 
50%
25%
16.66%
20%




Question 5:If cp of 10 articles is equal to selling price of 12 articles, find profit % or loss %.

Options
12.5%
20%
16.66%
14.28%


Question 6:A shopkeeper sold a TV set for Rs 17,940 with a discount of 8% and gained 19.6%. If no discount is allowed , then what will be his gain percent?


Options
30%

40%
25%
16.66% 

Question 7:A trader sells two bullocks for RS 8400 each, neither selling nor gaining in total. If he sold one of them at a gain o 20%, the other was sold at loss of ??

Options
16.66%
12.5%
20%
14.28%



Question 8:A sold an article to B at a profit of 20% to B. 
B sold it to C at loss of 20%
C sold it to D at profit of 40%.
If D paid Rs 252 for the article, Find how much did A pay for it?

Options
180Rs
200 Rs

150RS
250RS 

Question 9:A sold an article to B at profit of 25%.
B sold it to C at loss of 10%
If c paid Rs 90 for the article, Find how much did A pay for it?

Options
Rs80
Rs 50
Rs 150
Rs 100



Question 10: Roman purchased a bike for Rs 5400. He sold it for loss of 8%
With that money he again purchased another bike and sold it at profit of 10%.What is his overall Loss/profit?


Options
Rs 648 loss
Rs 540 loss
Rs 648 gain
Rs 657 gain


Question 11: By selling an article at 80% of the marked price, a merchant makes a loss of 12%. What will be profit % or loss % made by merchant if he sells the article at 95% of the marked price?

Options
4.5%

5.5%
6.5%
7.5%


Question 12:A machine is sold at profit of 10%. Id the machine were sold at Rs 40 less, there would have been a loss of 10%.
What was the cost price?

Options
200 Rs

150 Rs
250 Rs
500 Rs


Question 13: I sold two hens for Rs 105 each. On one  i lost 25% and on second I gained 50%.
What is my overall gain/loss percentage?

Options
25% loss
33% profit
10% profit
no profit no loss


Question 14: Aman sold a watch at profit of 20%. Had she bought it at 10% less and sold it at Rs 30 less, she would still have gained 20%. Find the C.P of the watch.

Options 
180 Rs

250 Rs
220 Rs
360 Rs

Question 15: Amar bought eggs at rate of 5 for Rs 7, and sold at rate of 7 for Rs 10, and made Rs 2450.
How many eggs did he deal in?

Options
85,750

75,450
65,870
45,210






Question 16:A shop's prices are 25% above the cost price. but it allows 12% discount on the amount on the bill. What is the profit % made?

Options
16.66%
14.28%
25%
10%



Question 17:A person sold two articles for same Selling price. On the first one he got 12.5% loss and on the other he gained 37.5%. If the total profit is Rs 110, Find the difference b/w cp of both the articles?

Options
545
240
352182


Question 18:A shopkeeper bought 80 kg of sugar at rate of Rs 13.50 /kg and mixed it with 120 kg sugar costing Rs 16/kg. In order to make a profit of 20%, he must sell the mixture at?

Options
Rs 15/kg
Rs 18/Kg

Rs 20/kg
Rs 23/kg



Question 19: A bicycle marked at Rs 2000 is sold with two successive discounts of 20% and 10%. An additional discount of 5% is given at the cash payment.  THe sp of the bicycle at cash payment is?

Options
Rs 1368

Rs 1245
Rs 1140
Rs 2320

Question 20:Half of 100 articles were sold at profit of 20% and the rest at profit of 40%.
If all the articles had been sold at profit of Rs 25%, the total profit would have been Rs 1000  less than earlier profit.
The C.P of the each article was ?

Options
Rs 10
Rs 15
Rs 20
Rs 25

Answers

1. Rs 500
2. 30%
3. 9.375%
4. 50%
5. 16.66%
6. 30% profit
7. 14.28% loss
8. 200 rs
9. Rs 80
10. Rs 648 profit
11. 4.5% profit
12. Rs 200
13. no profit no loss
14. Rs 250
15. 85750
16. 10%
17. Rs 352
18. Rs 18/kg
19. Rs 1368
20. Rs 20

Ratio and proportion:- for TET Exams

Practice questions on ratio and proportion

1.The ratio of three numbers is 2:6:3 and their product is 47916. find their sum

2.There are three containers of equal capacity. The ratio of milk to water in those containers is 3:2, 7:3, 11:4 .If all the three containers are emptied and the mixture is transferred to a fourth container. what would be the ratio of milk to water in this new mixture.

3.A:(b + c) is equals to 2:5
B:( a + c)  is equals to 3:4.
Find a:b:c

4.A:(b + c) is equals to 2:5 
B:(a + c) is equal to 5:9 .
Find A:B:C

5.S=(a+b+c)/2
and (S-A):(S-B):(S:C) =4:7:10.
What is A:B:C.

6..(A/2)=(B/3)=(C/4)

Find (A+B+C)/A

7..(A/2)=(B/3)=(C/4)

Find (A^2+B^2+C^2)/A

8...200 liters of mixture of milk and water is in 17:3 , After addition of some more milk, the ratio  becomes 7:1 .How much milk was added to it?

9.A Can contains mixture of two liquids A and B in the ratio  7 : 5.

 when 9 liters of mixture is drawn off, and the can is filled with B. The ratio  of A and B becomes 7:9. How much liters of A was initially contained by the can?

10.Two alloys are both made up of Copper and Tin. The ratio of Copper and Tin in the first alloy is 1 : 3 and in the second alloy is 2 : 5.  In what ratio they must be mixed to obtain a new alloy in which the ratio of tin and copper 8:3?

11.Fresh fruit contains 80% water and dry fruits contain 15% water. How many kilograms dry fruit can be made from 68 kg fresh fruits?

12..P:Q is equals to 5:12 

Q:R is equal to 4 : 15 

R:S= 6:7 

then find P:S .

13..The ratio of the marks obtained by A and B is 6 : 5. If the combined average of percentage is 68.75% and their sum of the marks is 275. Find the maximum marks of the exam.

14..Rupees 432 is divided among 3 workers A,B,C such that 8 times A's share is equal to 12 time B'share is equal to 6 times C's share. how much did A get?

15..And the the monthly salary of two persons is 4 : 7 if each receives an increase of rupees 25 in the salary the : changes to 3 : 5 find the respective salaries

16..A:B is equal to 1 : 2

 B:C is equal to 3 : 4

C:D is equal to 1 : 6 .

 Find A : B : C : D

17..The ratio of the incomes of A and B is 5 : 4 and ratio of their expenditure is 3: 2 If  B saves one third of his income ,find the ratio of their savings.

18..Some apples are to be distributed among some boys.
If 8 more apples are available , each boy would get four apples.
If two less apples are available , each boy would get 3 apples.
How many apples are available.

19..I have one rupees coins, 50 paise coins , 25 paise coins. The number of coins are in : 2.5 : 3 : 4.
If the total amount is 210, find the number of one rupee coin

20..if p/(q+r-p)=q/(p+r-q)=r/(p+q-r)=x
Find value of x.

21..In 2 alloys A & B the ratio of zinc to tin is 5 : 2 and 3 : 4 respectively.
 7 kg of alloy A and 21 kg of alloy B are mixed together to form a new alloy.
what will be the ratio of zinc and tin in the new alloy?

22..A mixture contains wine and water in the ratio 3 : 2 .
Another mixture contains them in ratio 4 : 5 
How many liters of the later must be mixed with 3 liters of the former so that the resulting mixture may contain equal quantity of wine and water?

23}. 60 kg of alloy A is mixed with hundred kg of alloy B. If alloy A has lead and tin in the ratio 3:2, alloy B has Tin and lead in the ratio 1 : 4.
 The amount of Tin in the new alloy is?

24.. Annual income of Amit and Veer are in ratio 3:2, while the ratio of their expenditure is 5 : 3.
 if at the end of the year, each saves Rs 1000, The annual income of Amit is ?

25.. A and B have their monthly incomes in the ratio 8 : 5 and expenditure in the ratio 5 : 3.
If they save Rs 12000 in 10,000 monthly( respectively), then the difference in their monthly incomes is?

26.. In an Army selection process the ratio of selected to unselected Was 3 : 1 and if 60 less had applied,and 30 less selected ,the ratio of selected to unselected would have been 5:1.
 How many candidates have applied for the process?

27.. A man divided his property so that his sons share to his wife's and his wife's share to his daughter is both 3:1.
 If the daughter gets Rs 10000 less than the son, the value in Rupees of the full property is?

28.. The ratio of number of boys and girls in a school was 5 : 3 some new boys and the girls were admitted in the schools in ratio 5 : 7.
 At this moment, the total number of students in the school become 1200.
The ratio of the boys to girl change to 7 : 5 
The number of students in the school, before new admission was?

29..Rupees 555 was to be divided among A ,B,C in ratio 1/4 : 1/5 : 1/6 but by mistake it was divided in ratio 4 : 5 : 6 .

The amount in in excess received by C was?

30..A sum of Rs 312 is to be divided among hundred boys and girls, such that each boy gets Rs 3.16 & each girl gets Rs 2.40.

 Find out the number of boys in the class.

31.. The ratio between boys and girls in a class 6 : 5 respectively.
If 8 more boys join the class and 2 more girls leave the class , then ratio becomes  11:7.
What is the number of boys in the class snow?

32..Two containers A and B contain a mixture of acids and water in the ratio 4 : 5 and 5:1.
 If they are both mixed in proportion of 5 : 2 respectively, find the ratio of acid in water in the newly formed mixture?

Answers

1. k=11
2. 61/29
3. 2:3:2
4. 4:5;5
5. 17:14:11
6. 9/2
7. c.n.d
8. 40 liters 
9. 21 liters
10. 4:7
11. 16 kg
12. 2/21
13. 200
14. Rs 144
15. 200, 350
16. 3:6:8:48
17. 3:4
18. 32
19. 105 coins
20. both 1 and -1/2
21. 1:1
22. 5+2/5 liters
23. 44 kg
24. Rs 6000
25. Rs 42000
26. 240
27. Rs 16250
28. 960
29. Rs 72
30. Rs 60
31. 44 boys
32. 5:4

Word problems based on percentage

Word problems based on percentage

1.A is 25% more than B ,B is what % less than A

Options
20
16.66
25
33.33

2.A is 7.7% more than B. B is what % less than A

Options
16.66
7.14
14.28
6.25

3. A is 20% less than B, B is what % more than A

Options

33.33%
16.66%
25%

14.28

4.A is 87.5% more than B. B is what % less than A.

Options
87.5
25%
33%
140/3 %

5.A is 12.5% less than B, B is what % more than A.

Options
14.28%
16.66%
20%
33%

6 .A is 12.5% less than B, C is 14.28% more than B. Find A:B:C

Options
33:49:64
49:56:64
7:56:64
49:64:56

7.A is 6.66% more than B. C IS 6.25% more than B, Find A:B:C.

Options
256:240:255
250:245:256
248:240:257
236:230:280

8.The population of village A and B increased by 10% and 20% respectively from 1999 to 2000. & became equal in 2000.
Find overall % increase in population from 1999 to 2000

Options
14.28%
16.66%
14.78%
10%

9.  The production of wheat increased by 10% from 2017-2018 . It becomes 990 tons in 2018, what was the wheat production in 2017

Options
900
950
960
990

10. if the salary of John is increased by 12.5%, by what percent should it be decreased to bring it back to the original level

Options
12.5%
11.11%
9.09%

10%

11. if the salary of Ram is decreased by 25. 26%,  then by what percent it should be increased to bring it back to the original level

Options
33.33%
34%
35%
40%

12. A is 33+1/3 percent more than B ,
C is 25% more than A,
D is 40% more than C

then D is what percent more than B

Options
 120%
133%
135%
133.3%

13. A IS 12.5% MORE THAN (B+ C),
B is 50% less than (A+C),

B is what percent more than c?

Options

142.8%
133.33%
116.66%
140%

14.Length of a rectangle is increased by 10%, breadth is increased by 20% ,find the overall change in the area

Options

23%
25%
32%
33%

15. The salaries of A and B are increased by 20% and 30% respectively from 2017 to 2018,
if their salary is same in 2017 find the overall percent increase in their salary from 2017-2018

Options

20%
30%
33%
25%

16. a man spends 35% of his income on food ,25% on Children's education ,80% of the remaining on the house rent , what percent of his income is he left with?

Options

8%
92%
32%
50%

17..If curved surface area of a sphere is increased by 44% then by what percent would its volume increase?

Options

75%
72.8%
80.66%

68.76%

18..The salaries of A and B are increased by 10% and decreased by 10% respectively from 2017 and 2018.If their salaries are same in 2018 , find the overall percentage increase in the salaries from 2017 to 2018

Options

0%
1%
10%
20%

19.. In the expression x y^2 ,the value of both x and y are decreased by 20% ,by this the value of the expression is decreased by ?

Options
45.2%
55.7%
48.8%
34.5%

20. A earns 25% more than B,
C earns 25% more than A ,
A earns 20% more than D,
E earns 20% more than a A,

A, B,C,D,E earn less than hundred rupees individually, what is the total amount earned by all of them together?

Options

305
420
480
645

21.. A two digit number AB is 60% of x, the two digit number formed by reversing the digits of AB is 60% more than X ,
find x

Options
45
54
63
72

22.Due to increase of 50% in the price of eggs, 4 eggs less are available for rupees 24 , The present rate of the eggs per dozen is ?

Options
24 Rs
27 Rs
36 Rs
42 Rs

23..A Reduction of 10% in the price of Apples enables a man to buy 10 more apples for Rs 54. The reduced price of Apples per dozen is ?

Options
Rs 6.48
Rs 12.96
Rs 10.80
Rs 14.40

24.. An increase of 30% in the price of oranges enables a man to buy 6 kg less for rupees 300, find the increased price per kg

Options
Rs 10/kg
Rs 12/kg
Rs 15/kg
Rs 20/kg

25..A number is decreased by 20%, then the decreased number is increased by 20% ,The resulting number is less than the original number by 20, the original number is ?

Options 
200
400
500
600

The answers of these word problems based on percentage are given below..

Answers

1)  20%
2)  7.14%
3)  25%
4)  140/3%
5)  14.28%
6) 49:56:64
7) 256:240:255
8) 14.78%
9) 900
10)11.11%
11)34%
12) 133.3%
13)142.8%
14)32%
15) 25%
16) 8%
17) 72.8%
18) 1% decrease
19) 48.8%
20) Rs 305
21) 45
22) Rs 36
23) Rs 6.48
24)Rs 15/kg
25) 500