7th Grade > Mathematics
COMPARING QUANTITIES MCQs
:
4 drivers: 1 hour
⇒ 4 : 1
20 drivers: 5 hours
⇒ 20 : 5 ⇒ 4 : 1
∴ Given ratios are equivalent.
:
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
:
Each Ratio: 1 Mark
Given ratio is, 5:4
⇒54
=54 x 2525
=125100
=125 %
Now,
9:25=925 x 44
=36100
=36%
:
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.
:
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.
:
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.
:
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%
:
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.
:
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 %
:
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 price−Loss
Selling price=275−41.25
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%.