8

Q1. A chair was sold for Rs.1008 at a gain of 12%. Find the cost price of the chair.

• 1) Rs. 780
• 2) Rs. 700
• 3) Rs. 900
• 4) Rs. 950

Solution

SP = Rs. 1008  Gain % = 12% Now, Thus, CP = Rs.= Rs. 900

Q2. Which is the largest among the following:

Solution

And third number is 0.12 Clearly, 0.166 > 0.133 > 0.12 Hence, % is the largest.

Q3. In a certain store, the profit is 320% of the cost. If the cost increases by 25% but the selling price remains constant, approximately what percentage of the selling price is the profit?

Solution

Let CP =100. Then, Profit =320, SP =420. New CP = 125% of100 =125 New S.P. =420. Profit =(420 - 125) =295 Therefore, required percentage =

Q4. In a certain school, 20% of students are below 8 years of age. The number of students above 8 years of age is 48 more than  of 48. What is the total number of students in the school?

Solution

Let the total number of students in the school be x. Then, Number of students above and equal to 8 years of age = (100 - 20) % of x = 80% of x Thus, total number of students in the school is 100.

Q5. Meena has 5 one rupee coins for every 2 five rupee coins in her pocket. She has ____% less number of five rupee coins than one rupee coins.

• 1) 150
• 2) 60.2
• 3) 42.8
• 4) 30.5

Solution

There are 5 one rupee coins for every 2 five rupee coins. Thus, the ratio of 1 rupee to 5 rupee coins is 5:2 So difference =

Q6. Dipanshu purchased a computer for Rs. 32,000 and sold it for Rs. 25,000 after 6 months. Find the loss percent.

• 1)
• 2)
• 3)
• 4)

Solution

CP = Rs. 32000, SP = Rs. 25000 Thus, Loss = CP - SP = Rs. (32000 - 25000) = Rs. 7000

Q7. The decimal number 0.20 is equal to the percentage:

• 1) 0.2%
• 2) 200%
• 3) 20%
• 4) 2%

Solution

Q8. The price of sugar goes up by 20%. By how much percent must a housewife reduce her consumption of sugar so that the expenditure on sugar remains the same?

Solution

Q9. In Semant Vihar Society, 40% of the members are senior citizens. 50% of senior citizens are older than 70 years. Find the percentage of members older than 70 years.

• 1) 40%
• 2) 50%
• 3) 20%
• 4) 25%

Solution

Q10. The angles of a triangle are in the ratio 1:2:7. So what is the difference between the largest and the smallest angles of the triangle ?

• 1) 40^o
• 2) 70^o
• 3) 50^o
• 4) 108°

Solution

Q11. The cost of apple is70 per kg. If a person buys 10 kg of apples the shopkeeper reduces the price by 10% per kg. Find the cost of 10 kg of apples.

Solution

Cost of apples =70 per kg. Reduction in price = =7Thus, Reduced price =(70 - 7) =63 per kg Therefore, cost of 10 kg of apples =63 x 10 =630.

Q12. If the cost of water bottle is decreased from Rs 15 to Rs 12 then the percentage decrease is:

• 1) 20%
• 2) 13%
• 3) 10%
• 4) 3%

Solution

Original Value = Rs 15 Decrease in Value = Rs (15 - 12) = Rs 3

Q13. A student has got following marks in five subjects: 30, 35, 40, 25, 45 The maximum marks for each subject is 50. Find his percentage of marks.

Solution

Total maximum marks = 50 x 5 = 250 Total marks obtained = 30 + 35 + 40 + 25 + 45 = 175 Percentage of marks =

Q14. A person borrows Rs. 5000 for 2 years at 4% p.a. simple interest. He immediately lends it to another person at p.a. for 2 years. Find his gain in the transaction per year.

Solution

SI = For borrowing, P = Rs 5000, R = 4% p.a.  and T = 2 years Thus, SI (borrowing) =  For lending, P = Rs 5000, R =  p.a.  and T = 2 years Thus, SI (lending) = Hence, Gain = Rs (625 - 400) = Rs 225 for 2 years Therefore, gain per year =

Q15. Clothing store A sells T-shirts in only three colours: red, blue and green. The colours are in the ratio of 3 to 4 to 5. If the store has 20 blue T-shirts, how many T-shirts does it have altogether?

Solution

Let x = Number of red T-shirts y = Number of green T-shirts Given: Red : Blue : Green = 3 : 4 : 5, Therefore 3 x 20 = 4x      60 = 4x       x = 15 5 x 20 = y x 4    100 = 4y       y = 25Thus, the total number of T-shirts would be 15 + 25 + 20 = 60Hence, there are 60 T-shirts.

Q16. A fence post in Tina's garden is 4 feet tall. When she measured the fence post's shadow, she found that it was 12 feet long. A tree in Tina's yard had a shadow of 72 feet. How tall is the tree?

Solution

Let the tree be x feet tall. Ratio of fence post to its shadow = Ratio of tree to its shadow = Now accordingly: Thus, the tree is 24 feet tall.

Take Another Test