✍️ Introduction
Welcome to Part 6 of our Profit and Loss Questions with Answers series. This practice set includes Questions 51–60, featuring moderate to hard-level problems based on the latest banking and competitive exam pattern. Each question is solved using a quick shortcut method instead of lengthy calculations, helping you improve both speed and accuracy. These questions are ideal for aspirants preparing for IBPS PO, SBI PO, RBI Assistant, LIC AAO, SSC CGL, RRB, and other competitive examinations.
Table of Contents
Profit & Loss Questions (Premium Edition)
Part 6 (Questions 51–60)
Question 51
A trader purchased 500 calculators at ₹450 each. He spent ₹15,000 on transportation and ₹10,000 on packaging. During transit, 25 calculators were damaged and sold at ₹250 each. The remaining calculators were sold at ₹560 each. Find the overall profit percentage.
⭐ Shortcut Method
Total CP
= (500 × 450) + 15,000 + 10,000
= ₹2,50,000
Total SP
= (475 × 560) + (25 × 250)
= ₹2,66,000 + ₹6,250
= ₹2,72,250
Profit
= ₹22,250
Profit %
= (22,250 ÷ 2,50,000) × 100
= 8.9%
✅ Answer
8.9% Profit
Question 52
A shopkeeper marks an article 80% above its cost price. He allows 15%, 10%, and 5% successive discounts. Find the profit percentage.
⭐ Shortcut Method
SP Factor
= 180% × 85% × 90% × 95%
= 130.815% of CP
Profit
= 130.815 − 100
= 30.82%
✅ Answer
30.82% Profit
Question 53
A dealer purchased 240 bags of wheat at ₹1,600 each. Transportation cost was ₹24,000. He sold 180 bags at ₹1,950 each and the remaining bags at ₹1,500 each. Find the overall profit percentage.
⭐ Shortcut Method
CP
= (240 × 1,600) + 24,000
= ₹4,08,000
SP
= (180 × 1,950) + (60 × 1,500)
= ₹3,51,000 + ₹90,000
= ₹4,41,000
Profit
= ₹33,000
Profit %
= (33,000 ÷ 4,08,000) × 100
= 8.09%
✅ Answer
8.09% Profit
Question 54
A retailer marks an article 50% above the cost price. He gives two successive discounts of 20% and 15%. During a festive sale, he offers an additional 5% cashback on the final selling price. Find the effective profit percentage.
⭐ Shortcut Method
Effective SP Factor
= 150% × 80% × 85% × 95%
= 96.9% of CP
Loss
= 100 − 96.9
= 3.1%
✅ Answer
3.1% Loss
Question 55
A wholesaler purchased 300 office tables at ₹2,400 each. He spent ₹30,000 on transportation and ₹18,000 on installation. During delivery, 20 tables were damaged and sold at ₹1,500 each. The remaining tables were sold at ₹2,850 each. Find the overall profit percentage.
⭐ Shortcut Method
CP
= (300 × 2,400) + 30,000 + 18,000
= ₹7,68,000
SP
= (280 × 2,850) + (20 × 1,500)
= ₹7,98,000 + ₹30,000
= ₹8,28,000
Profit
= ₹60,000
Profit %
= (60,000 ÷ 7,68,000) × 100
= 7.81%
✅ Answer
7.81% Profit
Question 56
A dealer purchased 400 water purifiers at ₹3,200 each. He spent ₹40,000 on transportation and ₹20,000 on installation. During transit, 30 purifiers were damaged and sold at ₹1,800 each. The remaining purifiers were sold at ₹3,650 each. Find the overall profit percentage.
⭐ Shortcut Method
CP
= (400 × 3,200) + 40,000 + 20,000
= ₹13,40,000
SP
= (370 × 3,650) + (30 × 1,800)
= ₹13,50,500 + ₹54,000
= ₹14,04,500
Profit = ₹64,500
Profit %
= (64,500 ÷ 13,40,000) × 100
= 4.81%
✅ Answer
4.81% Profit
Question 57
A shopkeeper marked an article 90% above its cost price. He offered successive discounts of 20%, 10%, and 15%. Find the final profit percentage.
⭐ Shortcut Method
SP Factor
= 190% × 80% × 90% × 85%
= 116.28% of CP
Profit
= 116.28 − 100
= 16.28%
✅ Answer
16.28% Profit
Question 58
A trader purchased 300 cartons of juice at ₹850 each. He spent ₹15,000 on transportation. Out of these, 40 cartons leaked and were sold at ₹500 each. The remaining cartons were sold at ₹1,020 each. Find the overall profit percentage.
⭐ Shortcut Method
CP
= (300 × 850) + 15,000
= ₹2,70,000
SP
= (260 × 1,020) + (40 × 500)
= ₹2,65,200 + ₹20,000
= ₹2,85,200
Profit = ₹15,200
Profit %
= (15,200 ÷ 2,70,000) × 100
= 5.63%
✅ Answer
5.63% Profit
Question 59
A retailer marked an article 70% above the cost price. He offered successive discounts of 25% and 12%. During checkout, customers also received an additional 8% instant discount on the discounted price. Find the final profit percentage.
⭐ Shortcut Method
SP Factor
= 170% × 75% × 88% × 92%
= 103.224% of CP
Profit
= 3.22% (Approx.)
✅ Answer
3.22% Profit
Question 60
A wholesaler purchased 600 LED lamps at ₹540 each. He spent ₹18,000 on transportation and ₹12,000 on storage. During handling, 50 lamps broke and were sold as scrap at ₹150 each. The remaining lamps were sold at ₹650 each. Find the overall profit percentage.
⭐ Shortcut Method
CP
= (600 × 540) + 18,000 + 12,000
= ₹3,54,000
SP
= (550 × 650) + (50 × 150)
= ₹3,57,500 + ₹7,500
= ₹3,65,000
Profit = ₹11,000
Profit %
= (11,000 ÷ 3,54,000) × 100
= 3.11%
✅ Answer
3.11% Profit
📚 Continue Your Profit and Loss Practice
If you found this practice set helpful, continue solving more exam-oriented questions from our Profit and Loss series:
- ➜ 100 Profit and Loss Questions with Answers (Complete Practice Guide)
- ➜ Profit and Loss Questions with Answers (Questions 1–10) – Part 1
- ➜ Profit and Loss Questions with Answers (Questions 11–20) – Part 2
- ➜ Profit and Loss Questions with Answers (Questions 21–30) – Part 3
- ➜ Profit and Loss Questions with Answers (Questions 31–40) – Part 4
- ➜ Profit and Loss Questions with Answers (Questions 41–50) – Part 5
Part 7: Profit and Loss Questions with Answers (Questions 61–70)
📖 Explore More Quantitative Aptitude Topics
💡 Shortcut Trick of the Day
Percentage Factor Method
Instead of calculating each price separately, convert everything into multiplication factors.
- Markup 70% → × 1.70
- Discount 25% → × 0.75
- Discount 12% → × 0.88
- Discount 8% → × 0.92
Now multiply the factors directly:
1.70 × 0.75 × 0.88 × 0.92 = 1.03224
This means the Selling Price = 103.224% of the Cost Price, so the Profit = 3.224%.
⚡ Banking Exam Tip: Whenever a question has multiple markups or discounts, always use the factor method. It is much faster than calculating each intermediate price separately and reduces the chance of calculation mistakes.
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