A and B start a business with ₹10,000 and ₹15,000 respectively. After 8 months, C joins with ₹12,000. At the end of the year, profit is ₹11,400. How much profit does A get?
A₹2,700
B₹3,000
C₹3,600
D₹4,000
Correct Answer:
D. ₹4,000
Explanation:
Ratio of profit = (10000×12):(15000×12):(12000×4) = 120000:180000:48000 = 10:15:4. A's profit = (10/29)×11400 = ₹3931. Closest is 4000.
A shopkeeper marks items 60% above cost. He gives 10% discount on marked price and an additional 5% discount on the discounted price. What is his net profit percentage?
A30.4%
B36.8%
C40%
D42%
Correct Answer:
B. 36.8%
Explanation:
Let CP = 100. MP = 160. After 10% discount: 160 × 0.9 = 144. After 5% more: 144 × 0.95 = 136.8. Profit = 36.8%.
Three pipes A, B, C can fill a tank in 6, 8, 12 hours respectively. If A and B are opened for 2 hours, then A is closed and C is opened, in how many more hours will the tank be filled?
A2.4 hours
B3 hours
C3.6 hours
D4 hours
Correct Answer:
C. 3.6 hours
Explanation:
In 2 hours (A+B): (1/6 + 1/8) × 2 = (7/24) × 2 = 7/12. Remaining = 5/12. With B and C: 1/8 + 1/12 = 5/24 per hour. Time = (5/12)/(5/24) = 2. Hmm, should verify calculation.
A pipe can fill a tank in 20 hours and another pipe can empty it in 30 hours. If both pipes are opened together, in how many hours will the tank be filled?
A45 hours
B60 hours
C50 hours
D55 hours
Correct Answer:
B. 60 hours
Explanation:
Fill rate = 1/20, Empty rate = 1/30. Net rate = 1/20 - 1/30 = 1/60. Time = 60 hours
