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## Monday, 29 April 2019

16.  Aravind buys an old scooter for Rs. 4700 and spends Rs. 800 on its repairs. If he sells the scooter for Rs. 5800, what is his gain percent?
A. 12%     B. 10%      C. 44.7%      D. 5.45 %
Explanation :
Cost Price (CP) = 4700 + 800 = Rs. 5500
Selling Price (SP) = Rs. 5800.
Gain = (SP) - (CP) = 5800 - 5500= Rs. 300.
Gain%
= (GainCP)×100
= (300÷5500)×100
= 300÷55
= 60÷11
= 5.45

17. The cost price of 20 articles is the same as the selling price of x articles. If the profit is 25%, find out the value of x
A. 15 B. 25 C. 18 D. 16
Explanation :
Let the Cost Price (CP) of one article = 1
=> CP of x articles = x ------------------------------( 1)
CP of 20 articles = 20
Given that cost price of 20 articles is the same as the selling price of x articles
=> Selling price (SP) of x articles = 20--------------( 2)
Given that Profit = 25%
(SP-CP)÷CP
=25÷100=1/4------------( 3)
Substituting equations 1 and 2 in equation 3,
(20-x) ÷x  =  1/4
80-4x=x
5x=80
x=80÷5
=16

18. If selling price is doubled, the profit triples. What is the profit percent?
A. 100 B. 105.33 C. 66.66 D. 120
Explanation :
Let the CP = x , SP = y
profit = SP –CP = y-x
If SP is doubled, SP = 2y
Now Profit = SP –CP = 2y - x
Given that If selling price is doubled, the profit triples
2y–x=3(y-x)
2y–x=3y-3x
y=2x
Profit%=(Profit÷CP)×100
=((y-x)÷x)×100
=((2x–x)÷x)×100
=(x÷x)×100=100%
19. In a shop, the profit is 320% of the cost. If the cost increases by 25% but the selling price remains constant, find out approximately what percentage of the selling price is the profit?
A. 250% B. 100% C. 70% D. 30%
Explanation :
Let the CP = 100
Profit=(320÷100)×100
=320
SP=CP+Profit=100+320=420
If the cost increases by 25%,
New CP=(125÷100)×100=125
Selling Price is constant, hence New SP=420
Profit=SP–CP=420–125=295
Required Percentage =(295÷420)×100
=2950÷42
=70(approximately)

20. sebastian bought bananas at 6 for a rupee. How many for a rupee must he sell to gain 20%?
A. 3 B. 4 C. 5 D. 6
Explanation :
CP of 6 bananas = 1
Gain = 20%
SP of 6 bananas=1×(120÷100)
=12÷10
The number of bananas he should sell for Rs.1 for
a gain of 20%
=(10÷12)×6
=10÷2=5
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