A person sells two watches for ₹1,200 each. On one he gains 20% and on the other he loses 20%. What is his overall profit/loss?
Answer: B
SP₁ = 1200, Profit = 20%, so CP₁ = 1000. SP₂ = 1200, Loss = 20%, so CP₂ = 1500. Total CP = 2500. Total SP = 2400. Loss% = (2500100) × 100 = 4%
Q.329Medium
An item is sold for ₹300 at a loss of 25%. What should be its selling price to gain 25% profit?
Answer: A
If SP = 300 and loss = 25%, CP = 0300.75 = ₹400. For 25% profit, SP = 400 × 1.25 = ₹500
Q.330Medium
A dealer purchases goods worth ₹5,000 and incurs ₹500 as transportation cost. He marks the cost price 40% above total cost and allows 20% discount. What is profit percentage?
By selling 45 articles, a shopkeeper gains an amount equal to the selling price of 9 articles. What is the gain percentage?
Answer: A
Profit = 9SP. If each SP = x, then Profit = 9x. Profit% = (9x)/(45x - 9x) × 100 = (9x)/(36x) × 100 = 25%
Q.333Medium
A shopkeeper sells goods at 15% profit. If he had bought them at 10% less and sold for ₹4 less, he would gain 30%. What is the cost price?
Answer: A
Let CP = x. SP = 1.15x. New CP = 0.9x. New SP = 1.15x - 4. New profit = 30%, so 1.15x - 4 = 1.3(0.9x). Solving: 1.15x - 4 = 1.17x gives x = 200
Q.334Medium
A merchant bought goods and marked them 45% above cost price. He then offers two successive discounts of 15% and 10%. What is his net profit/loss percentage?
Answer: B
Let CP = 100. MP = 145. After 15% discount: 145 × 10085 = 123.25. After 10% discount: 123.25 × 10090 = 110.925. Profit% = 10.925% ≈ 11.35%
Q.335Medium
Two articles are sold for ₹1,000 each. One at 25% profit and the other at 25% loss. What is the overall profit/loss percentage?
Answer: A
First article: CP₁ = 11000.25 = 800. Second article: CP₂ = 01000.75 = 1333.33. Total CP = 2133.33, Total SP = 2000. Loss% = (133.213333.33) × 100 = 6.25%
Q.336Medium
Two pipes A and B can fill a tank in 12 hours and 18 hours respectively. If both pipes are opened together and pipe B is closed after 6 hours, how long will it take to fill the remaining tank?
Answer: B
A's rate = 121, B's rate = 181. Combined rate = 365. In 6 hours, they fill 3630 = 65. Remaining = 61. Time for A alone = (61)/(121) = 2 hours. Total = 6+2 = 8 hours. But with both for 6 hrs: (365)×6 = 65 filled. Remaining 61 by A: 2 hours. Check: Total effective = 4 hours additional work needed.
Q.337Medium
A man sells two items. On one he gains 20% and on the other he loses 15%. If the cost prices are ₹500 each, what is his net profit/loss percentage?
Answer: A
Item 1: CP=500, SP=600 (20% gain). Item 2: CP=500, SP=425 (15% loss). Total CP=1000, Total SP=1025. Profit=25. Percentage = 2.5%
Q.338Medium
P can complete a project in 30 days. Q can complete it in 40 days. If they work together for 10 days and then P leaves, how many more days will Q need to finish?
