Question 1

A shopkeeper marks his goods at 40% above the cost price. If he gives a discount of 10% on the marked price, what is his profit percentage?

Accepted Answer

Step 1: Let the cost price (CP) be ₹100. Step 2: Marked price (MP) = CP + 40% of CP = 100 + 40 = ₹140. Step 3: Discount = 10% of MP = 10% of 140 = ₹14. Step 4: Selling price (SP) = MP − Discount = 140 − 14 = ₹126. Step 5: Profit = SP − CP = 126 − 100 = ₹26. Step 6: Profit percentage = (Profit / CP) × 100 = (26 / 100) × 100 = 26%. Therefore, answer is B.

Question 2

A shopkeeper marks his goods at 40% above the cost price. He offers a discount of 20% on the marked price. What is his profit percentage?

Accepted Answer

Step 1: Let the cost price (CP) = ₹100. Step 2: Marked price (MP) = CP + 40% of CP = 100 + 40 = ₹140. Step 3: Discount = 20% of MP = 20% of 140 = 0.20 × 140 = ₹28. Step 4: Selling price (SP) = MP - Discount = 140 - 28 = ₹112. Step 5: Profit = SP - CP = 112 - 100 = ₹12. Step 6: Profit percentage = (Profit / CP) × 100 = (12 / 100) × 100 = 12%. Therefore, the profit percentage is 12%.

Question 3

A shopkeeper marks up the cost price of an item by 40%. During a sale, he offers a discount of 25% on the marked price. If the cost price of the item is ₹800, what is his profit percentage?

Accepted Answer

Step 1: Calculate marked price. Marked price = Cost price + 40% of cost price = 800 + (40/100 × 800) = 800 + 320 = ₹1120. Step 2: Calculate selling price after 25% discount. Discount = 25% of marked price = (25/100 × 1120) = ₹280. Selling price = 1120 − 280 = ₹840. Step 3: Calculate profit. Profit = Selling price − Cost price = 840 − 800 = ₹40. Step 4: Calculate profit percentage. Profit % = (Profit / Cost price) × 100 = (40 / 800) × 100 = 5%. Therefore, answer is B.

Question 4

A shopkeeper marks up goods by 60% above cost price. He then offers a discount of 25% on the marked price during a sale. However, he realizes that after the discount, his profit margin has reduced. If the cost price of an item is ₹400, what is the profit percentage he actually makes after giving the discount?

Accepted Answer

Step 1: Cost Price (CP) = ₹400. Step 2: Marked Price (MP) = CP + 60% of CP = 400 + (60/100 × 400) = 400 + 240 = ₹640. Step 3: Discount = 25% of MP = 25/100 × 640 = ₹160. Step 4: Selling Price (SP) = MP − Discount = 640 − 160 = ₹480. Step 5: Profit = SP − CP = 480 − 400 = ₹80. Step 6: Profit % = (Profit/CP) × 100 = (80/400) × 100 = 20%. Therefore, answer is B.

RRB Group D Percentage Word Problems

Percentage Word Problems— Rules & Concept

Key Points to Remember

Exam-Specific Tips

Percentage Word Problems — Practice Questions

60-Second Revision — Percentage Word Problems