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8th Grade > Mathematics

COMPARING QUANTITIES MCQs

Total Questions : 59 | Page 3 of 6 pages
Question 21. A motorbike was sold by a showroom for 80,000. The owner then sold this bike at 60,000. Find the percentage of profit or loss.
  1.    20%
  2.    25%
  3.    30%
  4.    35%
 Discuss Question
Answer: Option B. -> 25%
:
B
As the selling price is less than the cost price, the owner incurred loss.
Loss = Difference in the amount for which it was purchased and the amount for which it was sold.
Loss=8000060000=20000
Percentage of loss=losscost price×100
=2000080000×100=25%
Question 22. The cost of Maruti 800 in the year 1998 was ₹ 2,50,000. After the end of one year and four months, the price underwent depreciation by 10% per annum. Its new price is
  1.    ₹ 2,25,000
  2.    ₹ 2,17,500
  3.    ₹ 2,40,000
  4.    ₹ 2,23,000
 Discuss Question
Answer: Option B. -> ₹ 2,17,500
:
B
Depreciation means a decrease in the value due to use and age of the item.
A=P×[1r100]n, where A is the amount, P is the principal, r is the rate of interest and n is the time period.
So, priceat the end of one year =2,50,000×[110100]1=2,25,000
Depreciation for next four months =2,25,000×10×1100×3 = ₹7500
So, the depreciated value afterone year and four months =2,25,0007,500 = 2,17,500
Question 23. The prices of all the televisions in a shop are to be increased by 8%. Calculate the new price of a television that originally costs Rs.150.
  1.    Rs. 162
  2.    Rs. 169
  3.    Rs. 152
  4.    Rs. 160
 Discuss Question
Answer: Option A. -> Rs. 162
:
A
8%of150=8100×150=Rs.12
New price =150+12=Rs.162
Question 24. The cost of a bike, purchased 2 years ago, depreciates at the rate of 20% every year. If its present worth is ₹ 35600, find its purchase price.
  1.    ₹ 55625
  2.    ₹ 43175
  3.    ₹ 49352 
  4.    ₹ 50625
 Discuss Question
Answer: Option A. -> ₹ 55625
:
A
Let the present value of the car beV which is 35600,
Time, n=2 years, and rate of interest,r=20%
Let the purchase price beV0
Using,V=V0(1r100)n
35600=V0(120100)235600=V0(80100)2=V0(1625)V0=35600×2516=55625
Question 25. In a class, 60% of the students are girls and there are 20 boys. What is the strength of the class?
  1.    35
  2.    30
  3.    40
  4.    50
 Discuss Question
Answer: Option D. -> 50
:
D
Let the strength of the class be x.
Given that 60% are girls, so 40% are boys.
Now,40%×x=20
(Since number of boys in the class is 20)
40100×x=20
x=20×10040
x=50
Therefore, total number of students in the class is 50.
Question 26. I had some money with me. I bought a heavy painting for some price, transported it to my house and sold it for some price. If I am calculating profit made, what will be the effective cost price?
  1.    Cost price of the painting
  2.    Amount spent for its transportation
  3.    Cost price of the painting + Amount spent for its transportation
  4.    Cost price of the painting + 12 (Amount spent for its transportation)
 Discuss Question
Answer: Option C. -> Cost price of the painting + Amount spent for its transportation
:
C
Here, amount spent for its transportation is the overhead charge (amount spent for repairs/transportation/labour charges) which should always be added to the cost price of the item while calculating profit made on the sale.
Therefore, effective cost price isthe sum of cost price of the painting and amount spent for its transportation.
Question 27. The list price of a frock is Rs 220. A discount of 20% is announced on sales. The sale price in Rs. is 
___
 Discuss Question

:
Marked price is same as the list price.
20% discount means that on Rs 100 (MP), the discount is Rs 20.
By unitary method, on Re 1 the discount will be Rs 20100
On Rs 220, discount = Rs 20100x 220 = Rs 44
The sale price = (Rs 220 - Rs 44) or Rs 176
OR
A discount of 20% means forMP of Rs 100, the discount is Rs 20.
Hence, the sale price is Rs 80.
Using unitary method, when MP is Rs 100, sale price is Rs 80;
When MP is Re 1, sale price is Rs 80100
Hence, when MP is Rs 220, sale price = Rs 80100 x 220 = Rs 176.
Question 28. A shopkeeper buys an article at a discount of 30% on the printed price. He spends 40 on transportation of the article. After charging goods and service tax at the rate of 7% on the printed price, he sells the article for 856. Find his profit percentage.
  1.    3312%
  2.    3513%
  3.    3918%
  4.    3313%
 Discuss Question
Answer: Option D. -> 3313%
:
D
Let the printed price of the article be x.
GST=7%ofx=(7100)×x=7x100
Selling price=x+7x100=107x100
As per question, 107x100=856
x=856×100107=800
Hence, printed price=800
Discount = 30% of ₹ 800 =(30100)×800=240
Cost price of the article=800240=560
Overhead=cost of transportation=40
Actual cost price=560+40=600
GST is charged by the government on the sale of an item. It is collected by the shopkeeper from the customer and given to the government. Hence, while calculating profit we will not include GST amount.
Profit=Printed priceActual cost price=800600=200.
Profit %=(profitcost price)×100=(200600)×100
=1003%=3313%
Question 29. Ramesh invests ₹ 12800 for three years at the rate of 10% per annum compounded annually. Find the sum Ramesh receives at the end of the first year.
  1.    ₹15060
  2.    ₹14000
  3.    ₹14080
  4.    ₹13090
 Discuss Question
Answer: Option C. -> ₹14080
:
C
Principal = ₹12800, Rate =10%
Interest for one year =P×r×t100=(12800×10×1)100=1280
So, sum due after one year =12800+1280=14080
Question 30.


A bacterial population doubles every hour. If there are 1000 bacteria now, when were 125 bacteria present?


  1.     1 hour ago
  2.     2 hours ago
  3.     3 hours ago
  4.     5 hours ago
 Discuss Question
Answer: Option C. -> 3 hours ago
:
C

If there are 1000 bacteria now, 1 hour ago there would have been 500 since the number of bacteria doubles every hour. 2 hours ago there would have been half of 500 bacteria, that is 250 bacteria. 3 hours ago there would have been 125 bacteria.


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