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Aryabhata Finals- Mock Test 2

Total questions: 67

Worksheet time: 2hrs 41mins

Name
Class
Date
1.

An article is marked at ₹ 950. If it is sold for ₹ 792, then find the discount per cent.

4 lines
2.

In a town, 24% of people like coffee, 20% of people like tea, and the rest of the people like juice. If there are 600 people in the town, then how many people like Juice?

4 lines
3.

A luxury car travels with the speed of 35 meter per seconds whereas, an ordinary car will travel with the speed of 54 km per hour. What is the ratio of the speed of the luxury car to that of an ordinary car?

4 lines
4.

If angles of a triangle are in the ratio 1 : 4 : 5. Find the value of each angle.

4 lines
5.

x% of 82 + 8% of 36 = 39.78, then the value of x is:

4 lines
6.

If a merchant estimates his profit as 30.43% of the selling price then which of the following is nearest option of the profit percent?

4 lines
7.

What is 10% of 10% of (1/10)?

4 lines
8.

Rs. 36,000 is borrowed at 8% rate of interest p.a. borrowed for 3 years. Find the amount to be paid at the end of the third year.

4 lines
9.

A map is given with a scale of 1 cm = 100 km. What is the actual distance between the two places in km, if the distance in the map is 6.2 cm?

4 lines
10.

A bag contains 50p, 25p, 10p coins in the ratio 2 : 6 : 3, amounting to Rs. 224. Find the total number of coins.

4 lines
11.

A man sells a mare of Rs. 1055 making a profit of 5 is: Rs. 995 1 %. The cost of the mare 2 Rs. 1010 Rs. 1015 Rs. 1000

4 lines
12.

x% of 60 + 5% of 20 = 31, then the value of x is: 50 60 31 40

4 lines
13.

If S.P. of an article is 5/3 of its C.P., then the profit % in the transaction is: 66 1 % 3 66% 66 2 % 3 67 1 % 3

4 lines
14.

2 3 66 3 % of 78 students are good in Math. How many students are not good in it? 33 26 30 22

4 lines
15.

x% of 220 + 35% of 70 = 136.7, then the value of x is: 47 53 49 51

4 lines
16.

The cost of a vehicle is Rs.240000. If its value depreciates at the rate of 20% per annum then total depreciation after 3 years is:

4 lines
17.

A bag contains 1rupee, 50p, 25p coins in the ratio 3 : 5 : 8, amounting to Rs. 450. Find the total number of coins.

4 lines
18.

If 43% of students in a school are boys and the number of girls is 513, find the total number of students in the school.

4 lines
19.

If the cost of 16 articles is equal to the selling price of 12 articles, what is the profit percentage?

4 lines
20.

If an article marked at ₹ 950 is sold for ₹ 792, find the discount percentage.

4 lines
21.

A watch was bought for ₹ 2,568 including 7% VAT. Find its price before the VAT was added.

4 lines
22.

A car is marked at ₹ 1000000 with successive discounts of 20%, 10% and 2.3%. What is the net selling price of it?

4 lines
23.

Janhavi offers a discount of 23% on all items at her shop and still makes a profit of 8%. What is the cost price of an article marked at ₹ 540?

4 lines
24.

In a town, 24% of people like coffee, 20% like tea, and the rest like juice. If there are 600 people in the town, how many people like Juice?

4 lines
25.

A map has a scale of 2 cm = 1000 km. What is the actual distance between two places if the map distance is 2.8 cm?

4 lines
26.

Nikita takes a loan of Rs. 5,000 at 18% per year. Find the interest she has to pay.

4 lines
27.

A bag contains 5 rupee, 2 rupee and 1 rupee coins in the ratio 4 : 6 : 3, amounting to Rs. 700. Find the total number of coins.

4 lines
28.

The selling price of goods which cost Rs. 12 and were sold at a loss of 10% is:

a)

Rs. 10.8

b)

Rs. 11.0

c)

Rs. 11.2

d)

Rs. 10.5

29.

If a merchant estimates his profit as 15% of the selling price, what is the profit percent?

a)

16.25%

b)

18.45%

c)

17.65%

d)

16.78%

30.

A number increased by 23% gives 37. The number is:

a)

33

b)

27

c)

28

d)

30

31.

If 6% more is gained by selling an article for Rs. 624 than by selling it for Rs. 600 then the cost of the article is:

a)

Rs. 500

b)

Rs. 550

c)

Rs. 400

d)

Rs. 300

32.

If a merchant estimates his profit as 30.43% of the selling price then which of the following is nearest option of the profit percent?

a)

43.75 %

b)

40.45 %

c)

45.62 %

d)

46.78 %

33.

The cost of a vehicle after depreciation at the rate of 16% per annum in 2 years is Rs. 211680. The initial cost of vehicle is:

a)

Rs. 280000

b)

Rs. 300000

c)

Rs. 245000

d)

Rs. 320000

34.

If 8.25% more is gained by selling an article for Rs. 699.50 than by selling it for Rs. 650 then the cost of the article is:

a)

Rs. 500

b)

Rs. 550

c)

Rs. 600

d)

Rs. 700

35.

If 3% more is gained by selling an article for Rs. 321 than by selling it for Rs. 300 then the cost of the article is:

a)

Rs. 700

b)

Rs. 650

c)

Rs. 800

d)

Rs. 600

36.

A number decreased by 42 3 % gives 23.067. The number is (Approx):

a)

43

b)

37

c)

40

d)

35

37.

What is 50% of 40% of 300?

a)

60

b)

20

c)

30

d)

40

38.

The selling price of goods which cost Rs. 14.20 and were sold at a loss of 10% is:

a)

Rs. 12.78

b)

Rs. 12.26

c)

Rs. 12.58

d)

Rs. 12.96

39.

30% of 1200 = x% of 400, then the value of x is:

a)

90

b)

60

c)

80

d)

85

40.

What is the correct ascending order of the given numbers: 0.56, 0.57, 0.69, 0.75?

a)

0.56 < 0.57 < 0.69 < 0.75

b)

0.56 < 0.57 < 0.75 < 0.69

c)

0.56 < 0.69 < 0.57 < 0.75

d)

0.56 < 0.69 < 0.75 < 0.57

41.

If S.P. of an article is 5/6 of its C.P., then the loss % in the transaction is:

a)

16 1/3%

b)

16 2/3%

c)

16 1/4%

d)

16 1/2%

42.

Nikita takes a loan of Rs. 5,000 at 18% per year as rate of interest. Find the interest she has to pay at the end of one year.

a)

Rs. 900

b)

Rs. 800

c)

Rs. 860

d)

Rs. 920

43.

𝐱% of 82 + 8% of 36 = 39.78, then the value of 𝐱 is:

a)

40

b)

45

c)

50

d)

35

44.

If a number x is 25% less than another number y and y is 25% more than 144, then value of x is:

a)

140

b)

144

c)

135

d)

130

45.

If a number x is 12% less than another number y and y is 12% less than 50% of 230, then x is equal to:

a)

88.25

b)

90.10

c)

88.03

d)

89.06

46.

When the price of a product was decreased by 30%, the number sold increased by 60%, what was the increase on the total revenue?

a)

12%

b)

10%

c)

9%

d)

15%

47.

A man buys a plot of agricultural land for Rs. 300000. He sells one-third at a loss of 20% and two-fifths at a gain of 25%. At what price must he sell the remaining land so as to make an overall profit of 15%?

a)

Rs. 115100

b)

Rs. 115500

c)

Rs. 115010

d)

Rs. 115000

48.

What price should Rahul mark on a pair of shoes, which costs him Rs. 1260 so as to gain 12% after allowing a discount of 16%?

a)

Rs. 1680

b)

Rs. 1620

c)

Rs. 1660

d)

Rs. 1650

49.

What is the correct descending order of the given numbers: 11, 59, 24, 19, 15, 45, 71?

a)

11 > 59 > 24 > 19 > 15 > 45 > 71

b)

11 > 59 > 45 > 24 > 19 > 15 > 71

c)

11 > 59 > 45 > 24 > 19 > 71 > 15

d)

11 > 59 > 45 > 24 > 71 > 19 > 15

50.

A luxury car travels at 35 m/s and an ordinary car travels at 54 km/hr. What is the ratio of their speeds?

a)

3 : 7

b)

8 : 3

c)

7 : 3

d)

3 : 8

51.

x% of 220 + 35% of 70 = 136.7, then the value of x is:

a)

47

b)

53

c)

49

d)

51

52.

When the price of a product was decreased by 35%, the number sold increased by 60%, what was the increase on the total revenue?

a)

5%

b)

6%

c)

2%

d)

4%

53.

Tina ate 42.86% of an apple and gave half of the remaining to Rina. What percentage of the apple remains in the basket?

a)

28.57 %

b)

28.25 %

c)

28.75 %

d)

28.46 %

54.

If 29% of 12% of 64 = 32% of 𝐱, then 𝐱 is:

a)

6.96

b)

6.25

c)

6. 58

d)

6.68

55.

If 20% of 10% of 40 = 15% of x, then x is:

a)

5.33

b)

5.25

c)

5.58

d)

5.60

56.

A shopkeeper purchased 200 bulbs for Rs. 12 each. However 5 bulbs were fused and had to be thrown away. The remaining was sold at Rs. 15 each. Find the gain or loss %.

a)

25 % gain

b)

21.88 % gain

c)

25 % loss

d)

21.88 % loss

57.

A tank can hold 200 liters of water. At present, it is only 30 % full. How many liters of water shall I add in the tank, so that it is 70 % full?

a)

70 liters

b)

80 liters

c)

90 liters

d)

60 liters

58.

A book was sold for Rs. 168 with a profit of 12%. If it were sold for Rs. 180, then what would have been the percentage of profit or loss?

a)

25%

b)

18%

c)

20%

d)

24%

59.

If angles of a triangle are in the ratio 1 : 4 : 5, find the value of each angle.

a)

120, 480 and 1200

b)

180, 720 and 900

c)

200, 800 and 900

d)

160, 640 and 1000

60.

A book was sold for Rs. 13.20 with a profit of 10%. If it were sold for Rs. 13, then what would have been the percentage of profit or loss?

a)

8%

b)

3%

c)

81%

d)

4%

61.

What is the ratio of 26 kg to 3900 gm?

a)

2 : 300

b)

20 : 3

c)

2 : 3

d)

200 : 3

62.

A sum of Rs. 1500 was lent partly at 3% and partly at 5% p.a. simple interest. The total interest received after 3 years was Rs. 180. The ratio of the money lent at 3% to that lent at 5% is:

a)

2 : 1

b)

1 : 1

c)

1 : 2

d)

3 : 2

63.

Spiderman took 0.35 minutes to reach school and Superman took 35 seconds. What is the ratio of their speeds?

a)

2 : 5

b)

5 : 4

c)

5 : 3

d)

7 : 4

64.

What is the ratio 𝐱 ∶ 𝐲 if 𝐱% of 3000 is equal to 20% of 60?

a)

1 : 4

b)

4 : 1

c)

4 : 3

d)

3 : 4

65.

Rs. 7,000 is borrowed at 7.3% rate of interest p.a. borrowed for 2 years. Find the amount to be paid at the end of the second year.

a)

Rs. 8020

b)

Rs. 8018

c)

Rs. 8022

d)

Rs. 8024

66.

The cost of a vehicle after depreciation at the rate of 18% per annum in 2 years is Rs. 80688. The initial cost of vehicle is:

a)

Rs. 121000

b)

Rs. 120000

c)

Rs. 126000

d)

Rs. 125000

67.

Rice is bought at Rs. 35.20 per kg and sold at Rs. 40 per kg. The gain percent is:

a)

12.33%

b)

13.26%

c)

12.54%

d)

13.64%