In a shop, the cost price of an item is Rs. 500. If it's sold at 35% profit, what is the selling price?
A
Rs. 675
B
Rs. 650
C
Rs. 700
D
Rs. 625
Correct Answer:
A. Rs. 675
Explanation:
SP = CP + Profit = 500 + (35% of 500) = 500 + 175 = Rs. 675
A number increases by 25%, then decreases by 20%. What is the net percentage change?
Explanation:
Let number = 100. After 25% increase: 125. After 20% decrease on 125: 125 × 0.8 = 100. Net change = 0%
If 15% of a number is 45, what is 40% of that number?
Explanation:
Number = 45 × 100/15 = 300. 40% of 300 = 300 × 40/100 = 120
X can do a work in 12 days, Y can do it in 18 days. They work together for 3 days, then X leaves. In how many more days will Y complete the work?
A
10.5 days
B
9 days
C
11 days
D
12 days
Correct Answer:
A. 10.5 days
Explanation:
Work done in 3 days = 3(1/12 + 1/18) = 3(3/36 + 2/36) = 3 × 5/36 = 5/12. Remaining = 7/12. Y completes 7/12 in (7/12)/(1/18) = 7/12 × 18 = 10.5 days
A sum becomes Rs. 14400 in 2 years at 20% per annum compound interest. What is the principal?
A
Rs. 10000
B
Rs. 12000
C
Rs. 15000
D
Rs. 18000
Correct Answer:
A. Rs. 10000
Explanation:
P(1.2)² = 14400. P × 1.44 = 14400. P = Rs. 10000
A boat takes 3 hours to travel 72 km downstream and 6 hours to travel the same distance upstream. What is the speed of the current?
A
4 km/h
B
6 km/h
C
8 km/h
D
5 km/h
Correct Answer:
B. 6 km/h
Explanation:
Downstream speed = 72/3 = 24 km/h. Upstream speed = 72/6 = 12 km/h. Current = (24-12)/2 = 6 km/h
Two taps A and B can fill a tank in 20 and 30 minutes respectively. A third tap C empties it in 40 minutes. If all three are opened together, in how many minutes will the tank be full?
A
15 minutes
B
17.14 minutes
C
18 minutes
D
19 minutes
Correct Answer:
B. 17.14 minutes
Explanation:
Net rate = 1/20 + 1/30 - 1/40 = 6/120 + 4/120 - 3/120 = 7/120. Time = 120/7 ≈ 17.14 minutes
A merchant bought goods for Rs. 8000. He marked them 50% above cost price but gave a discount of 10%. What is his profit?
A
Rs. 1200
B
Rs. 1400
C
Rs. 1600
D
Rs. 1800
Correct Answer:
C. Rs. 1600
Explanation:
Marked Price = 8000 × 150/100 = 12000. Selling Price = 12000 × 90/100 = 10800. Profit = 10800 - 8000 = Rs. 1600
A cistern has a drain pipe that empties it in 20 hours. If an inlet pipe fills it in 15 hours, how long will it take to fill if both are open?
A
60 hours
B
45 hours
C
50 hours
D
55 hours
Correct Answer:
A. 60 hours
Explanation:
Net rate = 1/15 - 1/20 = 4/60 - 3/60 = 1/60. Time = 60 hours
A man sells an item for Rs. 1200 at 20% profit. What is the cost price?
A
Rs. 1000
B
Rs. 900
C
Rs. 1100
D
Rs. 960
Correct Answer:
A. Rs. 1000
Explanation:
CP = 1200 × 100/120 = Rs. 1000
