Set A Solutions

A1. Profit = 540 − 450 = 90. Profit% = (90/450)×100 = 20%. Answer: (c) 20%

A2. SP = 750 × (100−12)/100 = 750 × 0.88 = 660. Answer: (c) Rs 660

A3. CP = SP × 100/(100+15) = 690 × 100/115 = 600. Answer: (c) Rs 600

A4. SP = 1200 × (100−20)/100 = 1200 × 0.8 = 960. Answer: (d) Rs 960

A5. MP = SP × 100/(100−15) = 476 × 100/85 = 560. Answer: (c) Rs 560

A6. CP = SP × 100/(100−10) = 720 × 100/90 = 800. Answer: (c) Rs 800

A7. Effective discount% = 10+20−(10×20)/100 = 30−2 = 28%. SP = 2500 × 0.72 = 1800. Answer: (b) Rs 1800

A8. Error = 1000−900 = 100; base = 900. Profit% = (100/900)×100 = 100/9% = 11 1/9%. Answer: (b) 100/9%

A9. CP:SP = 5:6 ⇒ Profit% = [(6−5)/5]×100 = 20%. Answer: (c) 20%

A10. SP=396 at 10% loss ⇒ CP = 396×100/90 = 440. To gain 10%: new SP = 440×1.10 = 484. Answer: (d) Rs 484

A11. Let CP of 1 article = Re 1. CP of 15 articles = Rs 15 = SP of 12 articles ⇒ SP per article = 15/12 = 1.25. Profit% = (0.25/1)×100 = 25%. Answer: (b) 25%

A12. Let CP = 100. MP = 140. SP after 10% discount = 140×0.9 = 126. Profit% = 26%. Answer: (c) 26%

A13. Effective% = 10+10−(10×10)/100 = 20−1 = 19%. Answer: (b) 19%

A14. SP = 1500 × (100−8)/100 = 1500×0.92 = 1380. Answer: (c) Rs 1380

A15. By the same-SP-equal-% shortcut: Loss% = (20)²/100 = 4%. Verification: CP₁ = 2400/1.2 = 2000; CP₂ = 2400/0.8 = 3000; total CP = 5000; total SP = 4800; loss = 200; loss% = 200/5000×100 = 4%. Answer: (c) 4% loss

A16. Profit = 782 − 680 = 102. Profit% = (102/680)×100 = 15% (since 680 × 0.15 = 102). Answer: (b) 15%

A17. SP = 950 × (100−12)/100 = 950 × 0.88 = 836. Answer: (b) Rs 836

A18. SP = 2000 × 0.9 × 0.95. Step: 2000×0.9 = 1800; 1800×0.95 = 1710. Answer: (c) Rs 1710

A19. Error = 1000−800 = 200; base = 800. Profit% = (200/800)×100 = 25%. Answer: (b) 25%

A20. By the same-SP-equal-% shortcut: Loss% = (15)²/100 = 225/100 = 2.25%. Answer: (c) 2.25%