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Arithmetic : Level 1 Test -1

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Question 1
Richa earns 25 % more than Bharat, then how many percent less does Bharat earn than Richa?
A
25%
B
20%
C
30%
D
none
Question 1 Explanation:
Let us suppose Bharat‘s income is Rs. 100
therefore Richa’s income will be 25% more than that of Bharat’s Rs. 100, that is Rs. 125.
In the question, we need to calculate how many percent less is Bharat’s earning in comparison to Richa.
The percentage asked is equivalent to= 25/125 x 100 = 20 % less.
Question 2
The price of the Samsung Laptops falls by 3%. By how much percent should the company increase its sales so as not to decrease its laptop revenue?
A
3.09%
B
5%
C
4%
D
none
Question 2 Explanation:
Lets us suppose that Samsung sells 100 laptops for Rs. 100 each. Total revenue: 10000.
Now its price is reduced by 3%, that is to Rs. 97.
Hence, net revenue will become Rs. 9700.
In order to increase the revenue again to Rs. 10000, the company should increase its sales to:
(10000/97) = 103.09 laptops.
% increase in sales: 3.09%.
Question 3
The population of Pragpur is 18900. It increases at 5% compound rate per annum,then what was its population two years earlier?
A
17143
B
17144
C
17145
D
17141
Question 3 Explanation:
The current population of Pragpur is 18900
So two years before at 5% rate it will be
18900=P (1 + r/100)2
P =18900 x 20/21 x 20/21
P =17142.8=17143
Question 4
Megha buys a new music system worth Rs. 3400. After some time, it develops a snag and she sells it for Rs. 3000, what will be the loss %?
A
13%
B
12%
C
14%
D
none
Question 4 Explanation:
Cost price is 3400
Selling price is 3000
Since the S.P. is less than the C.P. then there will be loss
So the loss is of Rs. 400.
So this loss is always on Cost price
% Loss  =  400/3400 x 100 = 11.76%
So the answer is none of these .
Question 5
Richa lost 6% by selling a laptop for Rs. 47000. What percent shall she gain by selling it for Rs. 57000?
A
14%
B
20%
C
18%
D
none
Question 5 Explanation:
Selling Price = 47000
Loss = 6%
Let Cost Price = P
So Loss = Cost Price – Selling Price
=(6/100) *P = P – 47000
P= (47000 X 100) / 94 = Rs. 50000
New Selling Price = 57000
So the gain would be 57000 – 50000 = 7000
Gain would be 7000/50000 x 100 = 14%
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