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1) Ratio of the cost price of laptop to watch is 5: 4 and the ratio of selling price of laptop to watch is 5: 3. The sum of the selling price of laptop and cost price of watch is Rs.24000.
From the statement given in the above question which of the following can be determined.Â
a)Â Selling price of laptop
b)Â Ratio of profit earned by laptop to watch
c)Â Cost price of Watch
d)Â Difference between the selling price of watch and the cost price of laptop
A.All A, B, C and D
B.Only A, B and D
C.Only C and A
D.Only A, B and C
E.Cannot be determined
2) The ratio of the marked price to cost price of the mobile is 5: 4 and the ratio of the marked price to cost price of the laptop is 6: 5. If the difference between the selling price of the mobile and laptop is Rs.2100 and ratio of the cost price of mobile to laptop is 2: 3, and if the profit earned from mobile and laptop is 20% and 15% respectively, then what is the difference between the marked price of mobile and laptop?
A.Rs.1800
B.Rs.2000
C.Rs.2200
D.Rs.2400
E.None of these
3) When a book is sold for a certain sum, there was a loss of 20 %. Had the book be sold for Rs. 22.50 more, the shopkeeper gets a gain of 25 %. Find the profit % earned, if the selling price of the book is Rs. 16 more than the cost price of the book?
A.44 %
B. 40 %
C.32 %
D.36 %
E.None of these
4) Archana bought a purse marked at Rs. 4400 which she gifted to her sister Chaya. Chaya posted that purse to a marketplace at a discount of 15% on its actual marked price from where Anamika purchased it. Anamika re-sold it to Archana at a gain of 10% for which Archana now paid Rs. 800 extra on amount she had paid earlier. If Archana would have sold it directly to Anamika at same rate at which Chaya sold it, what would be her gain percentage?
A.9.09%
B.12.85%
C.11.39%
D.13.67%
E.14.28%
5) A shopkeeper sold the laptop and mobile at the profit of (x + 10)% and (x + 5)% respectively and the sum of the cost price of the laptop and mobile is Rs.18000. If the sum of the selling price of laptop and mobile is Rs.28000.
From the above which of the following can be determined?
a)Â Value of x
b)Â Cost price of laptop
c)If selling price of the mobile is increased by 10%, find the new selling price of the mobile.
d)Selling price of the mobile.
A.All A, B, C and D
B.Only C and D
C.Only A, B and D
D.Only B and D
E.Cannot be determined
6) Aditya bought 50 watches at the rate of Rs. 50/watch but 8 of them got damaged while transporting. The marked price per watch is Rs. 100 and the discount offered on it is 25%. Find his overall profit or loss after selling remaining watches that are undamaged.Â
A.Rs. 550
B.Rs. 600
C.Rs. 750
D.Rs. 450
E.Rs. 650
7) There are two articles A and B. Cost price of article A is twice that of B. Two articles are sold at the same price so that the loss percent of article A is equal to the gain percent of article B. Find the loss percent of article A.
A.Cannot be determined
B.50%
C.33.33%
D.40%
E.60%
8) The selling price of Watch is Rs.920. The ratio of the marked price to cost price of the watch is 23: 20 and the ratio of the marked price to cost price of the Pen is 11: 10. If the ratio of the cost price of the watch to Pen is 2: 1 and the discount offers for watch is 20%, then what is the marked price of Pen?
A.Rs.550
B.Rs.650
C.Rs.450
D.Rs.350
E.None of these
9) Cost price of a Nokia mobile is 40% more than cost price of a Lenovo mobile. Shopkeeper marked up Nokia mobile at 25% above its cost price and Lenovo mobile at 50% above its cost price. If shopkeeper allowed a discount of 20% on Lenovo mobile and 25% on Nokia mobile and the difference between selling price of Nokia mobile and Lenovo mobile was Rs 675, then find sum of marked price of one Nokia mobile and one Lenovo mobile?Â
A.Rs 20000
B.Rs 20500
C.Rs 19000
D.Rs 18500
E.Rs 19500
10) An article is bought by A and B for the same price from a shop. A and B marked 50% and 25% more than the cost price respectively. B did not give any discount, while the discount given by A is 20 percent. Find by how much percent the selling price of A is more or less than the selling price of B?
A.4% less
B.10% more
C.10% less
D.4% more
E.4.25% less
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Answers :
1) Answer: E
CP of laptop = 5x
CP of watch = 4x
SP of laptop = 5y
SP of watch = 3y
5y + 4x = 24000
2) Answer: C
3x * 115/100 – 2x * 120/100 = 2100
(345x – 240x)/100 = 2100
x = 2000
Cost price of the mobile = 2 * 2000 = 4000
Coat price of the laptop = 3 * 2000 = 6000
MP of mobile = 5/4 * 4000 = 5000
MP of laptop = 6/5 * 6000 = 7200
Difference = 7200 – 5000 = Rs.2200
3) Answer: C
Let the cost price of the book be x,
Given,
(80/100) * x + 22.50 = (125/100) * x
22.50 = [(125 – 80) /100] * x
x = (22.50 * 100) / 45
x = Rs. 50
The selling price of the book = 50 + 16 = Rs. 66
The profit % = (16 / 50) * 100 = 32 %
4) Answer: B
Selling price by Chaya = 85/100 × 4400 = Rs.3740 = Purchasing price of Anamika
Selling price by Anamika = 110/100 × 3740 = Rs.4114 = new purchasing price of Archana
Amount paid by Archana actually = 4114 – 800 = Rs.3314
Gain percentage of Archana = (3740 – 3314)/3314 × 100 = 12.85%
5) Answer: E
CP of laptop = y
CP of mobile = 18000 – y
y * (100 + (x + 10))/100 + (18000 – y ) * (100 + (x + 5))/100 =28000
We cannot find the value of x and y.
6) Answer: E
Total cost price of 50 watches = 50 * 50 = Rs.2500
Total undamaged watches = 50 – 8 = 42
Total marked price of undamaged watches = 42 * 100 = Rs.4200
Total selling price of undamaged watches = 4200 * {(100 – 25)/100}
Total selling price of undamaged watches = 4200 * (75/100) = Rs.3150
Profit = Total selling price of 42 undamaged watches – Total cost price of 50 watches
Profit = 3150 – 2500
Profit = Rs. 650
7) Answer: C
Let cost price of article B be x. So, cost price of article A = 2x
Selling price of the two articles is same and is equal to y.
By data, Loss percent of A = Gain percent of B
(CPa – SPa)/CPa = (SPb – CPb)/CPb
(2x – y)/2x = (y – x)/x
2x – y = 2y – 2x
3y = 4x
y/x = 4/3;
Loss percent of A = (CPa – SPa)/CPa * 100
= (2x – y)/2x * 100
= (1 – (y/2x)) * 100
= (1 – (4x/3)/2x) * 100
= (1 – 2/3) * 100 = 33.33%
Or
Let the cost price of Article A is 200x,
Then CP of B = 100x
And
The percentage of loss for A = the percentage of profit for B = a
Then
200x * [(100 – a)/100] = 100x * [(100 – a)/100]
200 – 2a = 100 + a
3a = 100
a = 100/3 = 33.33
Required % = 33.33%
8) Answer: A
CP of Watch = 2x
CP of Pen = x
SP of Watch = 920
Marked price of Watch = 920/80 * 100 = 1150
CP of Watch = 1150/23 * 20 = Rs.1000
CP of Pen = 1000/2 = 500
Marked price of Pen = 500/10 * 11 = Rs.550
9) Answer: E
Let CP of Lenovo mobile is 100x
CP of Nokia mobile is (100x + 40%*100x) = 140x
MRP of Lenovo = (100x + 50%*100) = 150x
Discount on Lenovo given is 20% So,
SP of Lenovo = (150x – 20%*150x)
SP = 120x …………. (i)
MRP of Nokia = (140x + 25%*100) = 175x
And discount given is 25% So,
SP = (175x – 25%*175x)
SP = 131.25x …………….. (ii)
ATQ,
Difference between selling price of Nokia mobile and Lenovo mobile was Rs 67.5
Subtracting Equ i from ii,
131.25x – 120x = 675
11.25x = 675
x = 60
Sum of marked price of one Nokia mobile and one Lenovo mobile
= 675/11.25 *325
=Rs. 19500
10) Answer: A
Cost price of the article be x
Marked price by A = 1.5x and by B = 1.25x
Selling price of A = 1.5x – discount = 1.5x – 1.5x * 20/100
= 1.5x – 0.3x = 1.2x
Selling price of B = 1.25x
Percentage = (1.25x – 1.2x/1.25x)*100 = 4% less
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