Classical

Percentage - Percentage MCQ

1:  

 A and B enter into a partnership. A puts in the whole capital of  Rs.45000 on the condition that the profits will be equally divided after which B will pay A interest on half the capital at 10% p.a. and receive ₹  60 per month from A for carrying on the concern. What is the yearly profit, if B's income is half of A's income?

A.

Rs.8190

B.

Rs.9180

C.

Rs.6180

D.

Rs. 6900

 
 

Option: B

Explanation :

Interest on Rs.22500 = 0.1 x 22500 = 2250
Charges for managing the concern = 60 x 12 = 720
If yearly profit is x, then  B's share and A's share = (x/2)
∴(x/2)-2250 + 720
= (1/2)((x/2) -720 + 2250)
=> x = Rs. 9180.


2:  

At an election, where there are two candidates only, a candidate who gets 43 per cent of the votes is rejected by a majority of 420 votes. Then total number of votes recorded assuming that there was no void vote are

A.

2700

B.

2800

C.

3200

D.

None of these

 
 

Option: D

Explanation :

Difference in % of votes = 57-43 = 14%
14% is represented by 420
 Total number of votes = 420*(100/14)= 3,000 


3:  

The population of  rats in a locality increases by 20% in one year.Observing this, the pest control committee decided to use a special kind of pesticide `xyz' which effectively kills 160 rats in 3 months. Just after 2 years, what is the net increase or decrease in the population of rats if, initially the population of rats is 3200 and pesticide is used effectively?

A.

Increase of 128 rats

B.

Decrease of 128 rats.

C.

Neither an increase nor a decrease in the population

D.

None of these

 
 

Option: C

Explanation :

Growth rate of rat population in 3 months = 20 *(3/12) = 5%
Increase in first 3 months = 3200 x 1.05 = 3360
Also, net decrease in 3 months = 160
Rat population = 3360 - 160 = 3200
In the same way, after every 3 months, rat population remains the same
Hence, even after 3 x 8 months i.e., 2 years, the population is maintained


4:  

 A man sells sugar to a tradesman at a profit of 20% but the tradesman becoming bankrupt pays only 80 paise in the rupee. How much percentage does the man gain or lose by his sale?

A.

2.5%

B.

3%

C.

4%

D.

5.2%

 
 

Option: C

Explanation :

Let CP be Rs.x
SP = 1.2 x But he gets only 1.2x * 0.8 = 0.96x
Loss = 0.04x  
Hence Loss % = 4.


5:  

A camera costing 2550 is marked to be sold at a price, which gives a profit of 30%. What will be its selling price in a sale when 20% is taken off the marked price?

A.

Rs.600

B.

Rs.572

C.

Rs.35

D.

Rs.605

 
 

Option: B

Explanation :

CP = Rs.550
∴ Marked price = 1.3x550 = Rs.715
∴ sales price = 0.8x715 = Rs.572.




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