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.
Source: Safalta
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%
