Classical

Percentage - Percentage MCQ

11:  

One merchant correctly calculates his percentage profit on the cost price; another wrongly calculates it on the selling price. The difference in actual profits if both claim to make 17 .5 % profit on goods sold at Rs.3760 is

A.

Rs.98

B.

Rs.56

C.

Rs.65

D.

Cannot be determined

 
 

Option: A

Explanation :

CP of the merchant who calculates his % profit on CP = (3760/1.175) =Rs.3200
His profit = 0.175 x 3760 = Rs.560
Profit of the merchant who calculates his % profit on SP = 0.175 x 3760 = Rs.658
Difference in profit = 658 - 560 =Rs.98.


12:  

A trader allows a discount of 5 percent to his customers. What price should he mark on a article the cost price of which is Rs. 800 so as to make clear profit of 25 percent on his outlay?

A.

Rs.1000

B.

Rs.1053

C.

Rs.1200

D.

Rs.11233

 
 

Option: B

Explanation :

Selling price = 800 x 1.25 =Rs. 1000

∴ Marked price =  (1000/0.95) =1053 Rs.


13:  

A sports goods shop owner has 6 packets of balls each containing the same number of balls. If he sells each ball at Rs. 8 he gains Rs.96. If there were 1 ball less in each packet and he sells each ball at Rs.9 then he gains Rs.90 in the transaction. The cost price of each packet of balls is

A.

Rs.36

B.

Rs.48

C.

Rs.64

D.

Rs.52

 
 

Option: B

Explanation :

Let there be n number of balls in each packet.
∴ 6n x 8 = CP + 96
⇒48n = CP + 96  ------------ (i)
Also, 6 (n - 1) x 9 = CP + 90
⇒54n - 54 = CP + 90
54n = CP + 144 ------------(ii)
Solving equations (i) and (ii),
we get, n = 8
∴ CP = 48 x 8 96 = 384 - 96 =  Rs.288
Each packet cost = Rs.48.


14:  

A man travels from A to B to buy goods which he can get 10% cheaper in B than in A. If expenses of the journey are 15 and he makes a clear saving of 10, how much does he pay for the goods?

A.

Rs.225

B.

Rs.200

C.

Rs.150

D.

Cannot be determined

 
 

Option: A

Explanation :

Let CP in A be Rs. x
∴ CP in B = Rs. 0.9x
∴ 0.9x + 15 + 10 = x
⇒0.1x = 25
⇒x = 250
∴Price in B = 250 x 0.9 = Rs.225


15:  

Three friends started a business of renting out air conditioners by investing Rs.20000, Rs. 24000 and Rs.216000, respectively. C gets 20% of total profit for repair and maintenance of the air conditioner. If in a particular year, C gets Rs.  487.50 less than total earnings of the other two, then total profit for the year is

A.

Rs.2812.50

B.

Rs.3625.50

C.

Rs.4515.00

D.

None of these

 
 

Option: A

Explanation :

80% of the total proit is divided in the ratio
20000: 24000: 16000 = 5 : 6 : 4
80% of total profit = 5x + 6x + 4x = 15x
Total profit =(15x/80%)= 18.75x
Share of C in profit = 4x + 20% of 18.75
= 4x + 3.75x = 7.75x
∴Share of A in proit = 5x
Share of B in proit = 6x
∴(6z + 5x) - 7.75x = 487.50
⇒3.25x = 487.50
⇒x = 150
∴Total profit = 18.75 x 150 = Z 2812.50.




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