Quantitative Aptitude Quiz for SSC (Profit and Loss): 10 March 2021

Updated Wed, 10 Mar 2021 09:00 PM IST

(1) After allowing a discount of 25%, the profit becomes half (in amount) of the total profit if there is no discount. How much percentage of discount has to be offered if there is no profit or loss?
 
a) 40%b) 50%c) 25%d) 60%
 
 
(2) If the marked price of an article is 45% more than the cost price, what percentage of discount can be given so that the vendor makes a profit of 25%?
 
a) 16.67 %                           b) 12.5 %                             c) 13.8 %                              d) 14.28 %
 
(3) There are two shops, A and B. Shop A gives successive discounts of 50% and 90%, whereas shop B gives successive discounts of 60% and 80%. If the selling price of an article is the same in both the shops, then what is the ratio of marked prices of the article in the two shops?
 
a) 2 : 3b) 15 : 16c) 8 : 9d) CND
 
(4) A shopkeeper makes 60% profit even, if he gives 60% discount. If he does not give any discount, how much profit can he make?
 
a) 100%b) 200%c) 300%d) 400%
 
(5) A businessman purchased an article and marked the price as 45% more.

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After he allowed a discount of 20%, he made a profit of Rs. 1408. What is the cost price of that article?
 
a) Rs. 6600b) Rs. 7200c) Rs. 8800d) Rs. 9900
 
(6) A sold a watch to B at a gain of 12% and B sold it to C at a gain of 15%. If C paid Rs. 9660 for it, the price paid by A is
 
a) Rs. 5000b) Rs. 6500c) Rs.7500d) Rs. 7200
 
(7) A fruit vendor purchases 200 apples from a wholesale market at Rs. 8 each. If 40 of them are rotten, then what price should be charged on the remaining apples to earn 25% profit?
 
a) 10        b) 12.5           c) 17.5           d) 15

 
(8) A shopkeeper makes a profit of 25% even after giving a discount of 40%. What is the maximum discount that he can give without incurring a loss?
 
a) 52%b) 33.33 %c) 64%d) 66.67%
 
(9) If an article is sold for Rs. 258, a shopkeeper loses 14% on his cost price. What should be its selling price in order to gain 30%?
 
a) Rs. 360        b) Rs. 480             c) 390                d) 450
 
(10) On selling 18 mangoes, a fruit-seller gains a profit equal to the selling price of 5 mangoes. What is his profit percentage?
 
a)    38.46 %               b) 42.46 %             c) 48.46 %              d) 48.46 %
 
 
Solution:-
 
(1)
Assume x as CP and y as MP. 
y - x = 2(0.75y - x)
y = 2x
x = 0.5y
So, MP is two times CP. Thus, 50% discount can be offered.
 

(2)

If CP is Rs. 100, then MP is Rs. 145.
To get 25% profit, SP should be Rs. 125.
So, Rs. 20 can be given as discount. 
So, discount percentage = 20/145× 100 = 13.8%
 
(3)
Let the MPs be x and y in shops A and B, respectively.
SPs in shops A and B are 0.45x and 0.48y, respectively.
Then, according to question:
0.45x = 0.48y
⇒x : y = 15 : 16 
Hence, ratio of marked prices of the article in the two shops A and B = 15 : 16.
 
(4)
MP = 100
SP = 40
CP = 40/160 X 100 = 25
If he does not give any discount
MP = SP = 100
Profit = 75
Profit % = 75/25 x 100 = 300%
 
(5)
CP = 100
MP = 145
SP = 145 x 0.8 = 116
Profit = 16 when CP = 100
Profit = 1408 when CP = 8800
 
(6)
100 112 128.8
 
Here 128.8 == 9660
1 == 75
100 == Rs. 7500
 
(7)
CP of 200 apples = Rs. 1600
Since 40 apples are rotten, CP of 160 apples = Rs. 1600
SP of 160 apples = Rs. 1.25 x CP of 160 apples = 1.25 x 1600 = Rs. 2000
SP of 1 apple = 2000/160 = Rs. 125
 
(8)
Let the marked price be Rs. 100
Selling price = 60% of Rs. 100 = Rs. 60 [after discount of 40%]
Profit earned on this is 25%.
Cost price = 60/1.25 = Rs. 48
Maximum discount without incurring a loss = (100 - 48)/100 x 100% = 52%
 
(9)
Let cost price of the article be Rs. x.
Then, according to the question:
0.86x = 258
X = 300

300 x 1.3 = Rs. 390

(10)
Let SP of a mango be Re. 1.
and P is the profit
P = 5, SP = 18, CP = 13

Profit = 5/13 x 100 = 38.46%
 
 

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