Q.841
Medium
An item is sold for ₹300 at a loss of 25%. What should be its selling price to gain 25% profit?
A
₹500
B
₹600
C
₹550
D
₹625
Explanation:
If SP = 300 and loss = 25%, CP = 300/0.75 = ₹400. For 25% profit, SP = 400 × 1.25 = ₹500
Q.842
Medium
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?
Explanation:
Total CP = 5000 + 500 = ₹5,500. MP = 5500 × 1.40 = ₹7,700. SP = 7700 × 0.80 = ₹6,160. Profit% = (660/5500) × 100 = 12%
Q.843
Easy
A merchant sold goods for ₹3,000 at a gain of 25%. What is the cost price?
A
₹2,200
B
₹2,400
C
₹2,500
D
₹2,600
Correct Answer:
B. ₹2,400
Explanation:
SP = CP × 1.25. 3000 = CP × 1.25. CP = 3000/1.25 = ₹2,400
Q.844
Medium
A shopkeeper allows successive discounts of 15% and 10% on marked price. If selling price is ₹459, what is the marked price?
A
₹600
B
₹580
C
₹620
D
₹650
Explanation:
MP × 0.85 × 0.90 = 459. MP × 0.765 = 459. MP = 459/0.765 = ₹600
Q.845
Easy
A vendor buys oranges at ₹8 per dozen and sells them at ₹1 per orange. What is his profit percentage?
Explanation:
CP per orange = 8/12 = ₹2/3. SP per orange = ₹1. Profit = 1 - 2/3 = ₹1/3. Profit% = (1/3)/(2/3) × 100 = 50%
Q.846
Easy
A retailer marks articles 40% above cost price but gives 20% discount on marked price. What is the net profit percentage?
Explanation:
Let CP = 100. MP = 140. After 20% discount, SP = 140 × 80/100 = 112. Profit% = 12%
Q.847
Medium
By selling 45 articles, a shopkeeper gains an amount equal to the selling price of 9 articles. What is the gain percentage?
A
25%
B
20%
C
15%
D
22.5%
Explanation:
Profit = 9SP. If each SP = x, then Profit = 9x. Profit% = (9x)/(45x - 9x) × 100 = (9x)/(36x) × 100 = 25%
Q.848
Medium
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?
A
₹200
B
₹250
C
₹300
D
₹400
Explanation:
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.849
Easy
A fruit seller buys mangoes at 4 for ₹10 and sells at 5 for ₹14. What is the profit percentage?
Explanation:
CP per mango = 10/4 = 2.5. SP per mango = 14/5 = 2.8. Profit = 0.3. Profit% = (0.3/2.5) × 100 = 12%
Q.850
Medium
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?
A
15.35% profit
B
11.35% profit
C
18.35% profit
D
8.35% profit
Correct Answer:
B. 11.35% profit
Explanation:
Let CP = 100. MP = 145. After 15% discount: 145 × 85/100 = 123.25. After 10% discount: 123.25 × 90/100 = 110.925. Profit% = 10.925% ≈ 11.35%
