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Quantity 1: The shopkeeper sold an article at 17.5% discount on the marked price and he gains 10%. If the marked price of the article is Rs. 400, then the cost price is? Quantity 2: The shopkeeper marks the price of the toy Rs. 400 and his profit is 44%. Find the cost price of the toy, if he allows a discount of 10%.

Correct

Answer: a) Quantity I > Quantity II Explanation: Q1
Selling price of the article = 400*(82.5/100) = 330
Cost price of the article –
CP*(110/100) = 330
CP = 330*(10/11)
CP = 300

Q2
Selling price of the book = 400*(90/100) % = 360
CP*(144/100) = 360
CP = 360*(100/144) = 250

Incorrect

Answer: a) Quantity I > Quantity II Explanation: Q1
Selling price of the article = 400*(82.5/100) = 330
Cost price of the article –
CP*(110/100) = 330
CP = 330*(10/11)
CP = 300

Q2
Selling price of the book = 400*(90/100) % = 360
CP*(144/100) = 360
CP = 360*(100/144) = 250

Question 5 of 10

5. Question

1 points

Category: Quantitative Aptitude

How much time boat A will take to cover a distance of 450 km in upstream?
Statement 1: The ratio of the speed of boat A in still water to the speed of the stream is 5:1 respectively.
Statement 2: The sum of the speed of boat A in still water and the speed of boat A in downstream is 33km/h.

Correct

Answer: 5) The data given in both statements 1 and 2 together are necessary to answer the question.
Explanation:
Combining statement 1 and statement 2
Let the speed of boat A in still water = 5x and speed of stream = x
Speed of boat A downstream = 5x + x
(5x + 5x +x)= 33
11x = 33
x = 3
Speed of boat A in still water = 5x = 5*3 = 15km/h
Speed of stream = x = 3km/h
Speed of boat A in upstream = (15-3) km/h = 12 km/h
Time taken to cover 450km upstream
= (450/12)
= 37.5 hours

Incorrect

Answer: 5) The data given in both statements 1 and 2 together are necessary to answer the question.
Explanation:
Combining statement 1 and statement 2
Let the speed of boat A in still water = 5x and speed of stream = x
Speed of boat A downstream = 5x + x
(5x + 5x +x)= 33
11x = 33
x = 3
Speed of boat A in still water = 5x = 5*3 = 15km/h
Speed of stream = x = 3km/h
Speed of boat A in upstream = (15-3) km/h = 12 km/h
Time taken to cover 450km upstream
= (450/12)
= 37.5 hours

Question 6 of 10

6. Question

1 points

Category: Quantitative Aptitude

Directions: (6-10) There are three persons A, B, and C who each invested in two different scheme S1 and S2. A invested Rs. 50000 for 4 years in scheme S1 and Rs. 20000 for 2 years in scheme S2. B invested Rs. 20000 for 3 years in S1 and he did not invest in scheme S2. B also obtained a profit of Rs. 25000 by selling his bike. C invested Rs. 30000 for 6 years in scheme S1 and Rs. 5000 for 8 years in scheme S2. The total profit obtained from scheme S1 is Rs. 22000 and scheme S2 is Rs. 12000.

What is the ratio of the total profit of B to the total profit of A?

Correct

Answer: 3) 7:4
Explanation:
Profit of A = 10000+6000 = 16000
Profit of B = 3000+ 25000 = 28000
Required ratio = (28000/16000) = 7/4
Required ratio = 7:4

Overall Explanation:
Scheme S1
(Investment* time of investment) for scheme S1
A:B:C = 50000*4 : 20000*3 : 30000*6
A:B:C = 20 : 6 : 18
A:B:C = 10 : 3 : 9
Profit of A = (10/22)* 22000 = 10000
Profit of B = (3/22)*22000 = 3000
Profit of C = (9/22)*22000 = 9000
Scheme S2
(Investment* time of investment ) for scheme S2
A:C = 20000*2 : 5000*8
A:C = 40:40
A:C = 1:1
Profit of A = Profit of C = 6000

Incorrect

Answer: 3) 7:4
Explanation:
Profit of A = 10000+6000 = 16000
Profit of B = 3000+ 25000 = 28000
Required ratio = (28000/16000) = 7/4
Required ratio = 7:4

Overall Explanation:
Scheme S1
(Investment* time of investment) for scheme S1
A:B:C = 50000*4 : 20000*3 : 30000*6
A:B:C = 20 : 6 : 18
A:B:C = 10 : 3 : 9
Profit of A = (10/22)* 22000 = 10000
Profit of B = (3/22)*22000 = 3000
Profit of C = (9/22)*22000 = 9000
Scheme S2
(Investment* time of investment ) for scheme S2
A:C = 20000*2 : 5000*8
A:C = 40:40
A:C = 1:1
Profit of A = Profit of C = 6000

Question 7 of 10

7. Question

1 points

Category: Quantitative Aptitude

Directions: (6-10) There are three persons A, B, and C who each invested in two different scheme S1 and S2. A invested Rs. 50000 for 4 years in scheme S1 and Rs. 20000 for 2 years in scheme S2. B invested Rs. 20000 for 3 years in S1 and he did not invest in scheme S2. B also obtained a profit of Rs. 25000 by selling his bike. C invested Rs. 30000 for 6 years in scheme S1 and Rs. 5000 for 8 years in scheme S2. The total profit obtained from scheme S1 is Rs. 22000 and scheme S2 is Rs. 12000.

What is the difference between profit obtained by B from scheme S1 than profit obtained by C from scheme S2?

Correct

Answer: 2) Rs. 3000
Explanation:
Profit obtained by C from scheme S2 = 6000
Profit obtained by B from scheme S1 = 3000
Required difference = 6000-3000 = 3000

Incorrect

Answer: 2) Rs. 3000
Explanation:
Profit obtained by C from scheme S2 = 6000
Profit obtained by B from scheme S1 = 3000
Required difference = 6000-3000 = 3000

Question 8 of 10

8. Question

1 points

Category: Quantitative Aptitude

Directions: (6-10) There are three persons A, B, and C who each invested in two different scheme S1 and S2. A invested Rs. 50000 for 4 years in scheme S1 and Rs. 20000 for 2 years in scheme S2. B invested Rs. 20000 for 3 years in S1 and he did not invest in scheme S2. B also obtained a profit of Rs. 25000 by selling his bike. C invested Rs. 30000 for 6 years in scheme S1 and Rs. 5000 for 8 years in scheme S2. The total profit obtained from scheme S1 is Rs. 22000 and scheme S2 is Rs. 12000.

The total profit obtained by A from both the schemes in what percent of the amount invested by A in both the schemes?

Correct

Answer: 2) 23%
Explanation:
Profit obtained by A from scheme S1 = 10000
Profit obtained by A from scheme S2 = 6000
Total profit obtained by A from both the schemes = 16000
Total amount invested by A in both the schemes = 50000+20000 = 70000
Required percentage = (16000/70000)*1000 = 22.8% = 23% (approx)

Incorrect

Answer: 2) 23%
Explanation:
Profit obtained by A from scheme S1 = 10000
Profit obtained by A from scheme S2 = 6000
Total profit obtained by A from both the schemes = 16000
Total amount invested by A in both the schemes = 50000+20000 = 70000
Required percentage = (16000/70000)*1000 = 22.8% = 23% (approx)

Question 9 of 10

9. Question

1 points

Category: Quantitative Aptitude

Directions: (6-10) There are three persons A, B, and C who each invested in two different scheme S1 and S2. A invested Rs. 50000 for 4 years in scheme S1 and Rs. 20000 for 2 years in scheme S2. B invested Rs. 20000 for 3 years in S1 and he did not invest in scheme S2. B also obtained a profit of Rs. 25000 by selling his bike. C invested Rs. 30000 for 6 years in scheme S1 and Rs. 5000 for 8 years in scheme S2. The total profit obtained from scheme S1 is Rs. 22000 and scheme S2 is Rs. 12000.

The total profit obtained by C from both the schemes is what percent of profit obtained by B by selling his bike?

Correct

Answer: 5) 60%
Explanation:
Profit obtained by B on selling his bike = 25000
Profit obtained by C from scheme S1 = 9000
Profit obtained by C from scheme S2 = 6000
Total profit obtained by C = 9000+6000 = 15000
Required percentage = (15000/25000)*100 = (3/5)*100 = 60%

Incorrect

Answer: 5) 60%
Explanation:
Profit obtained by B on selling his bike = 25000
Profit obtained by C from scheme S1 = 9000
Profit obtained by C from scheme S2 = 6000
Total profit obtained by C = 9000+6000 = 15000
Required percentage = (15000/25000)*100 = (3/5)*100 = 60%

Question 10 of 10

10. Question

1 points

Category: Quantitative Aptitude

Directions: (6-10) There are three persons A, B, and C who each invested in two different scheme S1 and S2. A invested Rs. 50000 for 4 years in scheme S1 and Rs. 20000 for 2 years in scheme S2. B invested Rs. 20000 for 3 years in S1 and he did not invest in scheme S2. B also obtained a profit of Rs. 25000 by selling his bike. C invested Rs. 30000 for 6 years in scheme S1 and Rs. 5000 for 8 years in scheme S2. The total profit obtained from scheme S1 is Rs. 22000 and scheme S2 is Rs. 12000.
Find the marked price of the bike if it is equal to the sum of 125% of the total profit of A from both the schemes and 80% of the total profit of C from both the schemes?

Correct

Answer: 1) Rs. 32000
Explanation:
Total profit of A = 10000+6000 = 16000
125% of 16000 = 20000
Total profit of C = 9000+6000 = 15000
80% of 15000 = 12000
Marked price of bike = 20000+12000 = Rs. 32000

Incorrect

Answer: 1) Rs. 32000
Explanation:
Total profit of A = 10000+6000 = 16000
125% of 16000 = 20000
Total profit of C = 9000+6000 = 15000
80% of 15000 = 12000
Marked price of bike = 20000+12000 = Rs. 32000

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