Q. A bill of Rs. 4000 is due in 2 months. What is the Banker's Discount at the rate of 5% per annum?
A.
Rs. 33.33
B.
Rs. 20
C.
Rs. 50
D.
Rs. 40
Show solution
Solution
Banker's Discount = (4000 * 5 * 2/12) / 100 = Rs. 33.33.
Correct Answer:
A
— Rs. 33.33
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Q. A bill of Rs. 5000 is due in 2 months. What is the Banker's Discount at 10% per annum?
A.
Rs. 83.33
B.
Rs. 100
C.
Rs. 200
D.
Rs. 250
Show solution
Solution
Banker's Discount = (Face Value * Rate * Time) / 100 = (5000 * 10 * 2/12) = Rs. 83.33
Correct Answer:
A
— Rs. 83.33
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Q. A bill of Rs. 5000 is due in 3 months. What is the Banker's Discount at 10% per annum?
A.
Rs. 125
B.
Rs. 150
C.
Rs. 100
D.
Rs. 200
Show solution
Solution
Banker's Discount = (Face Value * Rate * Time) / 100 = (5000 * 10 * 3/12) / 100 = Rs. 125
Correct Answer:
A
— Rs. 125
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Q. A bill of Rs. 5000 is due in 3 months. What is the Banker's Discount at the rate of 10% per annum?
A.
Rs. 125
B.
Rs. 100
C.
Rs. 150
D.
Rs. 200
Show solution
Solution
Banker's Discount = (Face Value * Rate * Time) / 100 = (5000 * 10 * 3/12) / 100 = Rs. 125.
Correct Answer:
A
— Rs. 125
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Q. A bill of Rs. 5000 is due in 6 months. What is the Banker's Discount at the rate of 10% per annum?
A.
Rs. 250
B.
Rs. 300
C.
Rs. 500
D.
Rs. 400
Show solution
Solution
Banker's Discount = (Principal × Rate × Time) / 100 = (5000 × 10 × 0.5) / 100 = Rs. 250.
Correct Answer:
A
— Rs. 250
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Q. A bill of Rs. 5000 is due in 6 months. What is the bankers' discount at the rate of 10% per annum?
A.
Rs. 250
B.
Rs. 300
C.
Rs. 500
D.
Rs. 600
Show solution
Solution
Bankers' Discount = (Principal × Rate × Time) / 100 = (5000 × 10 × 0.5) / 100 = Rs. 250.
Correct Answer:
A
— Rs. 250
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Q. A bill of Rs. 6000 is discounted at 15% per annum for 4 months. What is the Banker's Discount?
A.
Rs. 100
B.
Rs. 150
C.
Rs. 200
D.
Rs. 250
Show solution
Solution
Banker's Discount = (6000 * 15 * 4/12) / 100 = Rs. 200
Correct Answer:
C
— Rs. 200
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Q. A bill of Rs. 6000 is due in 4 months. What is the Banker's Discount at 15% per annum?
A.
Rs. 300
B.
Rs. 150
C.
Rs. 200
D.
Rs. 250
Show solution
Solution
Banker's Discount = (6000 * 15 * 4/12) / 100 = Rs. 300
Correct Answer:
A
— Rs. 300
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Q. A bill of Rs. 6000 is due in 9 months. If the Banker's Discount is Rs. 450, what is the rate of interest?
A.
8%
B.
9%
C.
10%
D.
11%
Show solution
Solution
Banker's Discount = (Face Value * Rate * Time) / 100. 450 = (6000 * Rate * 9/12) / 100. Rate = 10%.
Correct Answer:
C
— 10%
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Q. A bill of Rs. 7000 is due in 1 year. If the Banker's Discount is Rs. 700, what is the rate of interest?
A.
10%
B.
12%
C.
14%
D.
16%
Show solution
Solution
Banker's Discount = (7000 * Rate * 1) / 100. 700 = (7000 * Rate) / 100. Rate = 10%.
Correct Answer:
B
— 12%
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Q. A bill of Rs. 8000 is discounted at 15% per annum for 3 months. What is the bankers' discount?
A.
Rs. 300
B.
Rs. 200
C.
Rs. 100
D.
Rs. 400
Show solution
Solution
Bankers' Discount = (8000 × 15 × 3/12) / 100 = Rs. 300.
Correct Answer:
A
— Rs. 300
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Q. A bill of Rs. 8000 is due in 2 months. If the bankers' discount is Rs. 160, what is the rate of interest?
A.
9%
B.
10%
C.
12%
D.
15%
Show solution
Solution
Rate = (BD × 100) / (Principal × Time) = (160 × 100) / (8000 × 1/6) = 12%.
Correct Answer:
A
— 9%
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Q. A boat can cover a distance of 48 km downstream in 4 hours. If the speed of the stream is 4 km/h, what is the speed of the boat in still water?
A.
8 km/h
B.
10 km/h
C.
12 km/h
D.
14 km/h
Show solution
Solution
Let the speed of the boat in still water be y km/h. Downstream speed = y + 4 km/h. Therefore, (y + 4) * 4 = 48. Solving gives y = 12 km/h.
Correct Answer:
C
— 12 km/h
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Q. A boat can go 10 km/h in still water. If the speed of the current is 2 km/h, how long will it take to travel 50 km downstream?
A.
2 hours
B.
3 hours
C.
4 hours
D.
5 hours
Show solution
Solution
Speed downstream = 10 + 2 = 12 km/h. Time = Distance/Speed = 50/12 = 4.17 hours.
Correct Answer:
C
— 4 hours
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Q. A boat can go 15 km upstream and 21 km downstream in 3 hours. If the speed of the boat in still water is 10 km/h, what is the speed of the stream?
A.
2 km/h
B.
3 km/h
C.
4 km/h
D.
5 km/h
Show solution
Solution
Let the speed of the stream be x km/h. The speed upstream = (10 - x) km/h and downstream = (10 + x) km/h. Time taken upstream = 15/(10 - x) and downstream = 21/(10 + x). Therefore, (15/(10 - x)) + (21/(10 + x)) = 3. Solving gives x = 3 km/h.
Correct Answer:
B
— 3 km/h
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Q. A boat can go 15 km upstream in 3 hours. What is the speed of the boat in still water if the speed of the current is 3 km/h?
A.
4 km/h
B.
5 km/h
C.
6 km/h
D.
7 km/h
Show solution
Solution
Speed upstream = Distance/Time = 15 km / 3 h = 5 km/h. Speed of boat in still water = Speed upstream + Speed of current = 5 km/h + 3 km/h = 8 km/h.
Correct Answer:
B
— 5 km/h
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Q. A boat can go 15 km/h in still water. If the speed of the current is 3 km/h, what is the speed of the boat downstream?
A.
12 km/h
B.
15 km/h
C.
18 km/h
D.
21 km/h
Show solution
Solution
Speed downstream = Speed of boat + Speed of current = 15 + 3 = 18 km/h.
Correct Answer:
C
— 18 km/h
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Q. A boat can go 20 km upstream in 5 hours. If the speed of the boat in still water is 8 km/h, what is the speed of the stream?
A.
1 km/h
B.
2 km/h
C.
3 km/h
D.
4 km/h
Show solution
Solution
Let the speed of the stream be x km/h. Upstream speed = (8 - x) km/h. Therefore, 20/(8 - x) = 5. Solving gives x = 2 km/h.
Correct Answer:
B
— 2 km/h
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Q. A boat can go 24 km downstream in 3 hours. If the speed of the boat in still water is 10 km/h, what is the speed of the current?
A.
2 km/h
B.
4 km/h
C.
6 km/h
D.
8 km/h
Show solution
Solution
Speed downstream = Distance/Time = 24 km / 3 h = 8 km/h. Speed of current = Speed downstream - Speed of boat in still water = 8 km/h - 10 km/h = -2 km/h (not possible).
Correct Answer:
B
— 4 km/h
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Q. A boat can go 25 km upstream in 5 hours. If the speed of the boat in still water is 7 km/h, what is the speed of the stream?
A.
1 km/h
B.
2 km/h
C.
3 km/h
D.
4 km/h
Show solution
Solution
Let the speed of the stream be x km/h. Upstream speed = (7 - x) km/h. Therefore, 25/(7 - x) = 5. Solving gives x = 2 km/h.
Correct Answer:
B
— 2 km/h
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Q. A boat can go 36 km upstream in 6 hours. If the speed of the current is 2 km/h, what is the speed of the boat in still water?
A.
6 km/h
B.
8 km/h
C.
10 km/h
D.
12 km/h
Show solution
Solution
Speed upstream = Distance/Time = 36 km / 6 h = 6 km/h. Speed of boat in still water = Speed upstream + Speed of current = 6 km/h + 2 km/h = 8 km/h.
Correct Answer:
B
— 8 km/h
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Q. A boat can travel 40 km upstream in 8 hours. If the speed of the current is 4 km/h, what is the speed of the boat in still water?
A.
6 km/h
B.
8 km/h
C.
10 km/h
D.
12 km/h
Show solution
Solution
Speed upstream = Distance/Time = 40 km / 8 h = 5 km/h. Speed of boat in still water = Speed upstream + Speed of current = 5 km/h + 4 km/h = 9 km/h.
Correct Answer:
C
— 10 km/h
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Q. A boat can travel 40 km upstream in 8 hours. If the speed of the stream is 2 km/h, what is the speed of the boat in still water?
A.
4 km/h
B.
6 km/h
C.
8 km/h
D.
10 km/h
Show solution
Solution
Let the speed of the boat in still water be y km/h. Upstream speed = (y - 2) km/h. Therefore, (y - 2) * 8 = 40. Solving gives y = 8 km/h.
Correct Answer:
C
— 8 km/h
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Q. A boat can travel 80 km downstream in 8 hours. If the speed of the current is 4 km/h, what is the speed of the boat in still water?
A.
8 km/h
B.
10 km/h
C.
12 km/h
D.
14 km/h
Show solution
Solution
Speed downstream = Distance/Time = 80 km / 8 h = 10 km/h. Speed of boat in still water = Speed downstream - Speed of current = 10 km/h - 4 km/h = 6 km/h.
Correct Answer:
C
— 12 km/h
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Q. A boat can travel at 10 km/h in still water. If it takes 2 hours to go upstream and 1 hour to return downstream, what is the speed of the current?
A.
2 km/h
B.
3 km/h
C.
4 km/h
D.
5 km/h
Show solution
Solution
Let the speed of the current be x. Upstream speed = 10 - x, Downstream speed = 10 + x. Time upstream = 2 hours, Time downstream = 1 hour. Thus, 2(10 - x) = Distance and 1(10 + x) = Distance. Equating gives x = 3 km/h.
Correct Answer:
B
— 3 km/h
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Q. A boat can travel at 12 km/h in still water. If it takes 3 hours to go upstream and 2 hours to return downstream, what is the speed of the current?
A.
1 km/h
B.
2 km/h
C.
3 km/h
D.
4 km/h
Show solution
Solution
Let the speed of the current be x. Upstream speed = 12 - x, Downstream speed = 12 + x. Distance = 3(12 - x) = 2(12 + x). Solving gives x = 2 km/h.
Correct Answer:
B
— 2 km/h
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Q. A boat can travel at 18 km/h in still water. If it takes 4 hours to go upstream and 3 hours to return downstream, what is the speed of the current?
A.
2 km/h
B.
3 km/h
C.
4 km/h
D.
5 km/h
Show solution
Solution
Let the speed of the current be x. Upstream speed = 18 - x, Downstream speed = 18 + x. Distance = 4(18 - x) = 3(18 + x). Solving gives x = 3 km/h.
Correct Answer:
C
— 4 km/h
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Q. A boat takes 3 hours to go 36 km upstream and 2 hours to return downstream. What is the speed of the stream?
A.
2 km/h
B.
3 km/h
C.
4 km/h
D.
5 km/h
Show solution
Solution
Let the speed of the stream be x km/h. Upstream speed = (y - x) and downstream speed = (y + x). From the equations, we can derive that x = 2 km/h.
Correct Answer:
A
— 2 km/h
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Q. A boat travels 20 km downstream in 2 hours. If the speed of the current is 2 km/h, what is the speed of the boat in still water?
A.
8 km/h
B.
10 km/h
C.
12 km/h
D.
14 km/h
Show solution
Solution
Speed downstream = Distance/Time = 20 km / 2 h = 10 km/h. Speed of boat in still water = Speed downstream - Speed of current = 10 km/h - 2 km/h = 8 km/h.
Correct Answer:
B
— 10 km/h
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Q. A boat travels 30 km downstream in 2 hours. If the speed of the current is 5 km/h, what is the speed of the boat in still water?
A.
10 km/h
B.
15 km/h
C.
20 km/h
D.
25 km/h
Show solution
Solution
Speed downstream = Distance/Time = 30/2 = 15 km/h. Speed of boat = Speed downstream - Speed of current = 15 - 5 = 10 km/h.
Correct Answer:
C
— 20 km/h
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