8th Grade > Mathematics
COMPARING QUANTITIES MCQs
:
Since the tenure is 1 year, the compound interest will be same as simple interest.
Amount = Principal + Interest
Interest = 5600 - 5000 = 600
Interest for one year =PRT100=600
R=100×6005000×1=12%
:
A
Discount %=Marked price−Selling priceMarked price×100
=15000−1440015000×100=4%
:
A
There are 6 apples and 6 oranges.
The ratio is 66, that is 1:1.
Let the number of apples added be x.
Then, 6+x6=32
⇒6+x=32×6
⇒x=9−6
⇒x=3
Hence, 3 apples should be added.
Thus, the given statement is true.
:
B
Amount at which Ravi sold the vehicle =60,000–(60,000×30100)=42,000
Amount spent by Amit on repairs = 42,000×5100= 2,100
Total amount spent by Amit =42,000+2,100=44,100
Decrease in price of vehicle =60,000−44,100=15,900
Percentage decrease =1590060000×100=26.5%
:
B
We know that, C.I=P[(1+r100)n−1]where P is the principal, r is the rateof interest and t is the time period.
Hence, 246=P[(1+5100)2−1]
246=P[(2120)×(2120)−1]246=P×(41400)
⇒P=246×40041=₹ 2400
Now, P= ₹ 2400,r=6% per annum and t = 3 years
S.I=P×r×t100=2400×6×3100=₹432
:
D
Profit is the difference between the selling price and total cost price
Total cost price = Cost price + Transportation costs = ₹50,000 + ₹5,000 = ₹55,000
Selling price = ₹59,400
Profit = ₹59400 - ₹55000 = ₹4400
Profit%=ProfitNet expenses×100
=440055000×100=8%.
:
A
200% of 12
=200100×12=2×12=24
:
A
Given that A = ₹ 3,15,600 , r = 20 % ; n = 2 years.
Let P be the value of the car two years ago.
A=P(1−20100)2
315600=P(1−15)2
315600=P(4×45×5)
P=315600×5×54×4
P=₹ 4,93,125
∴Purchase value of the car=₹ 4,93,125
:
B
Goods and Service Tax (GST) is levied on selling price.
:
B
Depreciation means a decrease in the value due to use and age of the item.
A=P×[1−r100]n, where A is the amount, P is the principal, r is the rate of interest and n is the time period.
So, price at the end of one year =2,50,000×[1−10100]1= ₹ 2,25,000
Depreciation for next four months =2,25,000×10×1100×3 = ₹ 7500
So, the depreciated value after one year and four months =2,25,000−7,500 = ₹ 2,17,500