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7th Grade > Mathematics

COMPARING QUANTITIES MCQs

Total Questions : 120 | Page 9 of 12 pages
Question 81.


Are these ratios equivalent?  [1 MARK]


4 drivers : 1 hour


20 drivers : 5 hours


 Discuss Question
Answer: Option A. ->
:


4 drivers: 1 hour
 4 : 1
20 drivers: 5 hours
 20 : 5   4 : 1
Given ratios are equivalent.


Question 82.


Dylan drew 1 heart, 1 star, and 26 circles. What is the ratio of circles to hearts? What is the ratio of hearts to star?  [2 MARKS]
 


 Discuss Question
Answer: Option A. ->
:

Each answer: 1 Mark
Given that,
Number circles = 26
Number of hearts = 1 
Number of stars=1
Number of circles: number of hearts
 26 : 1

Number of hearts: number of stars
  1 : 1


Question 83.


Convert the ratios 5:4 and 9:25 into a percentage. [2 MARKS]


 Discuss Question
Answer: Option A. ->
:

Each Ratio: 1 Mark
Given ratio is, 5:4
54
=542525
=125100
=125 %
Now,
9:25=92544
=36100
=36%


Question 84.


Nishu saves ₹ 120 from her pocket money. If she saves 10% of her pocket money, what is her pocket money?  [3 MARKS]


 Discuss Question
Answer: Option A. ->
:

Concept: 1 Mark
Steps: 1 Mark
Answer: 1 Mark
Let Nishu's pocket money be n
Given, she saves 10% of her pocket money. 
10% of n = ₹ 120

10100×n=120
n=120×10010
n=1200
So, Nishu's pocket money is ₹ 1200.


Question 85.


The marked price of a watch is ₹ 1250 and the shopkeeper allows 6% of discount on it. Find the selling price of the watch.
[2 MARKS]


 Discuss Question
Answer: Option A. ->
:

Formula: 1 Mark
Answer: 1 Mark
Given that,
Marked Price of the watch = ₹ 1250.
6% discount on MP
6100×1250= 75

SP = MP - Discount.
SP = ₹ 1250 - ₹ 75.
SP = ₹ 1175.


The selling price of the watch is  ₹ 1175.


Question 86.


In a school, there were 860 students, 35% study Sanskrit. How many students do not study Sanskrit?
[2 MARKS]


 Discuss Question
Answer: Option A. ->
:

Steps: 1 Mark
Answer: 1 Mark
Total number of students = 860
 Number of students who study Sanskrit = 35%
 Therefore, number of students who do not study Sanskrit =100% - 35% = 65%
 Number of students not studying Sanskrit,

=65100×860=559
So, 559 students do not study Sanskrit.


Question 87.


Arun bought a car for ₹ 3,50,000. Next year, the price went up to ₹ 3,70,000. What was the percentage of price increase?
[3 MARKS]


 Discuss Question
Answer: Option A. ->
:

Formula: 1 Mark
Steps: 1 Mark
Answer: 1 Mark
Given that,
Original price = ₹ 3,50,000.
New price = ₹ 3,70,000.
Increase in the price = ₹ 3,70,000 - ₹ 3,50,000.
 Increase in the price = ₹ 20,000
Percentage increase=Increase in the priceoriginal price×100
Percentage increase=20000350000×100
Percentage increase=5.714%
The price of the car went up by 5.714%


Question 88.


If number ‘n’ is increased by 25%, then it is decreased by 20%. What is the net percentage change in the value of n? [3 MARKS]


 Discuss Question
Answer: Option A. ->
:

Formula: 1 Mark
Steps: 1 Mark 
Answer: 1 Mark


Given, 


The number 'n' is first increased by 25%
 25


So, the new value of n
=n + n×25100=n×54


Now, the value of is again decreased by 20.


So, 20 of the new value
=n×54×20100=n×14


So, the new value
=n×54 - n×14 = n


Net percent change
=amount changedoriginal value×100


Net change = n - n = 0.
So on substituting the values we get:
Percent change = 0n×100 = 0
So, there is no percentage change.


Question 89.


Aju scored 70 in 1st test and 85 in 2nd test of Mathematics out of 100. What is percentage increase in marks scored by him?
[3 MARKS]


 Discuss Question
Answer: Option A. ->
:

Steps: 1 Mark
Application: 1 Mark 
Calculation: 1 Mark
Marks scored in the 1st test = 70
Marks scored in the 1st test = 85
Increase in marks = 1st test mark - 2nd test marks
Increase in marks = 85 - 70 = 15
Increase in percentage
=(IncreaseOriginal marks)×100
Increase in percentage
=(1570)×100 = 21.42 %


Question 90.


Amina buys a book for ₹ 275 and sells it at a loss 15%. How much does she sell it for? If she had sold it for ₹ 286 calculate the profit percent.
[4 MARKS]


 Discuss Question
Answer: Option A. ->
:

Concept: 1 Mark
Application: 1 Mark 
Each Answer: 1 Mark
Given that
Amina bought a book for ₹ 275.
So the Cost price, CP = ₹ 275.
Loss%=15%
Loss=15% of 275
Loss=15100×275
Loss=4125100
Loss=41.25
Selling price=Cost priceLoss
Selling price=27541.25
Selling price=233.75
Hence she sold it at ₹ 233.75.
If she has sold at ₹ 286,
The selling price, SP = ₹ 286
Profit = SP - CP
On substituting the values we get, Profit = (286 - 275) = ₹ 11
Now, Profit % =profitCostPrice×100
Profit % =11275×100=4
Had she sold it at ₹ 286 her profit% would have been 4%.


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