This set contains Profit and Loss Questions with Solutions — Set 1 (Q1 to Q10) covering a mix of question types and difficulty levels — from basic to advanced — exactly as asked in real competitive exams.
Solutions are written in a simple, step-by-step notebook style for easy self-study and quick understanding. Each solution is broken down step by step so even the toughest question feels easy. These questions are hand-picked for students preparing for SSC CGL, SSC CHSL, CAT, Bank PO, Bank Clerk, UPSC CSAT, Railway RRB, AMCAT, eLitmus, TCS NQT and all campus placement aptitude tests. International students preparing for GRE, GMAT, SAT, ACT, MAT and all Numerical Reasoning Tests will find these equally useful.
✏️ Attempt each question on your own first — then check the solution below.
Profit and Loss Questions 1 to 10 with Solutions
1. The cost price of 48 books is equal to selling price of 40 books. Find the profit %.
2. The selling price of 15 article is same as the cost price of 9 article. Find the gain or loss %.
3. The ratio of CP and SP is 4:5. Find the profit %.
4. If cost price of 20 oranges is equal to the selliing price of 30 oranges. Find the profit or loss %.
5. In selling an article for Rs. 87 there is a profit of 74%. If it is sold for Rs. 65 then find the profit or loss %.
6. If toys are bought at Rs. 10 each and sold at Rs. 9.5 each. Find the loss %.
7. A person sells two machines at Rs. 990 each. On one he gains 10% and on the other he loss 10%. Find the P/L% on the whole transaction.
8. A house and a shop were sold for Rs. 1 lakh each. In this transaction house sale resulted into 30% loss & shop sale resulted into 30% profit. Find th P/L in the entire transaction.
9. A man sells two watches for Rs. 120 each and by doing so gains 25% on one watch and loses 25% on the other. Find his loss in the whole transaction.
10. By selling an article for Rs. 240 a man incurs a loss of 10%. At what price should he sell it, so that he makes a profit of 20%.
Solutions — Profit and Loss Questions 1 to 10
1. The cost price of 48 books is equal to selling price of 40 books. Find the profit %.
Sol:
48CP = 40SP
∴ profit% = \(\frac{1}{5}\)×100 = 20% Answer
2. The selling price of 15 article is same as the cost price of 9 article. Find the gain or loss %.
Sol:
48CP = 40SP
∴ Loss% = \(\frac{6}{{15}} \times 100\) = 40% Answer
3. The ratio of CP and SP is 4:5. Find the profit %.
Sol:
∴ profit% = \(\frac{1}{4} \times 100\) = 25% Answer
4. If cost price of 20 oranges is equal to the selliing price of 30 oranges. Find the profit or loss %.
Sol:
20CP = 30SP
\(\frac{{SP}}{{CP}}\) = \(\frac{2}{3}\) ⟹ Loss = 1
∴ Loss% = \(\frac{1}{3} \times 100\) = \(33\frac{1}{3}\)% Answer
5. In selling an article for Rs. 87 there is a profit of 74%. If it is sold for Rs. 65 then find the profit or loss %.
Sol:
∴ profit% = \(\frac{{65 – 50}}{{50}} \times 100\) = 30% Answer
6. If toys are bought at Rs. 10 each and sold at Rs. 9.5 each. Find the loss %.
Sol:
Loss = 9.5 – 10 = – 0.5
Loss% = \(\frac{{0.5}}{{10}} \times 100\) = 5% Answer
7. A person sells two machines at Rs. 990 each. On one he gains 10% and on the other he loss 10%. Find the P/L% on the whole transaction.
Sol:
Method(1):
For machine ①:
gain = 10% = \(\frac{1}{{10}}\) ⟹ SP = 11 ⟶ 990
1 ⟶ 90
∴ CP₁ = 10 unit = 10 × 90 = 900
For machine ②:
Loss = 10% = \(\frac{1}{{10}}\) ⟹ SP = 9 ⟶ 990
1 ⟶ 110
∴ CP₂ = 10 unit = 10×110 = 1100
∴ total CP = 900 + 1100 = 2000
total SP = 990 + 990 = 1980
∴ Loss% = \(\frac{{2000 – 1980}}{{2000}} \times 100\)% = 1% Answer
Method(2):
∴ Loss% = \(\frac{2}{{200}} \times 100\) = 1% Answer
Method(3):
x = 10%
Loss = \(\frac{{{x^2}}}{{100}}\)% = \(\frac{{100}}{{100}}\) = 1% Answer
8. A house and a shop were sold for Rs. 1 lakh each. In this transaction house sale resulted into 30% loss & shop sale resulted into 30% profit. Find th P/L in the entire transaction.
Sol:
Overall Loss in entire transaction = \( – \frac{{{{30}^2}}}{{100}}\)%
= 9% Loss
∴ 91 unit ⟶ 2 lakh
1 unit ⟶ \(\frac{2}{{91}}\) lakh
∴ Loss = 9 unit = 9×\(\frac{2}{{91}}\) lakh = \(\frac{{18}}{{91}}\) lakh Answer
9. A man sells two watches for Rs. 120 each and by doing so gains 25% on one watch and loses 25% on the other. Find his loss in the whole transaction.
Sol:
∴ SP = 15 unit ⟶ 240
1 unit ⟶ 16
∴ Loss = 1 unit = 16 Rs. Answer
10. By selling an article for Rs. 240 a man incurs a loss of 10%. At what price should he sell it, so that he makes a profit of 20%.
Sol:
\(\frac{{240}}{{90\% }} \times 120\% \) = 320 Rs. Answer
✅ Well done on completing Set 1!
Continue practising with Profit and Loss Questions 11 to 20 → Set 2 or revisit the Profit and Loss Concept Page to strengthen your formulas and tricks before moving ahead.
Consistent practice is the key to mastering profit and loss for SSC CGL, SSC CHSL, CAT, Bank PO, Bank Clerk, UPSC CSAT, Railway RRB, AMCAT, eLitmus, TCS NQT and international exams including GRE, GMAT, SAT, ACT, MAT and all Numerical Reasoning Tests. Want to understand the concept better? Read about Profit on Wikipedia before attempting the next set.
This page is part of our complete series of profit and loss questions with solutions for competitive exams — covering every question type from basic to advanced so you can build speed, accuracy and confidence. Practising these questions regularly will also strengthen your core profit and loss concept before your exam day.
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