A retailer marks goods at 60% above cost price and offers a 25% discount. What is his profit percentage?
Explanation:
Let CP = 100. MP = 160. After 25% discount, SP = 160 × 0.75 = 120. Profit = 120 - 100 = 20. Profit% = 20%.
If x% of 400 equals 20% of y, and y = 500, find x.
Explanation:
x% of 400 = 20% of 500. (x/100) × 400 = 0.2 × 500. 4x = 100. x = 25.
A works twice as fast as B. If B takes 30 days to complete a work, how many days will both take together?
A
10 days
B
15 days
C
20 days
D
25 days
Correct Answer:
A. 10 days
Explanation:
B takes 30 days, so B's rate = 1/30. A works twice as fast, so A's rate = 2/30 = 1/15. Combined rate = 1/30 + 1/15 = 1/30 + 2/30 = 3/30 = 1/10. Time taken = 10 days.
A number's 35% is 105. What is 65% of that number?
Explanation:
35% of x = 105. x = 105/0.35 = 300. 65% of 300 = 0.65 × 300 = 195.
A train travels 200 km in 5 hours. What distance will it cover in 8 hours at the same speed?
A
280 km
B
300 km
C
320 km
D
340 km
Correct Answer:
C. 320 km
Explanation:
Speed = 200/5 = 40 km/h. Distance in 8 hours = 40 × 8 = 320 km.
The downstream speed of a boat is 20 km/h and upstream speed is 12 km/h. What is the boat's speed in still water?
A
14 km/h
B
16 km/h
C
18 km/h
D
20 km/h
Correct Answer:
B. 16 km/h
Explanation:
Boat speed = (Downstream + Upstream) / 2 = (20 + 12) / 2 = 32 / 2 = 16 km/h.
A shopkeeper marks goods 40% above cost price and offers 15% discount. What is his profit percentage?
Explanation:
Profit % = [(140 × 85)/100 - 100] = [119 - 100] = 19%
If 45% of a number equals 180, what is 80% of that number?
Explanation:
Number = 180/0.45 = 400. So 80% of 400 = 320
A man invests Rs. 8000 at 12% p.a. simple interest for 18 months. What amount does he receive?
A
Rs. 9440
B
Rs. 9600
C
Rs. 9680
D
Rs. 10000
Correct Answer:
A. Rs. 9440
Explanation:
SI = (8000 × 12 × 1.5)/100 = 1440. Amount = 8000 + 1440 = Rs. 9440
Pipe A fills a tank in 24 minutes, Pipe B in 36 minutes. If both work together, how long to fill the tank?
A
12.8 minutes
B
14.4 minutes
C
15.6 minutes
D
16.2 minutes
Correct Answer:
B. 14.4 minutes
Explanation:
Combined rate = 1/24 + 1/36 = (3+2)/72 = 5/72. Time = 72/5 = 14.4 minutes
