Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

worksheet: profit & loss percentage 1. cost price = rs. 400, selling pr…

Question

worksheet: profit & loss percentage

  1. cost price = rs. 400, selling price = rs. 500. find profit percentage.
  2. cost price = rs. 900, selling price = rs. 810. find loss percentage.
  3. cost price = rs. 250, selling price = rs. 300. find profit percentage.
  4. cost price = rs. 1,200, selling price = rs. 1,080. find loss percentage.
  5. cost price = rs. 600, selling price = rs. 750. find profit percentage.
  6. cost price = rs. 1,000, selling price = rs. 950. find loss percentage.
  7. cost price = rs. 350, selling price = rs. 420. find profit percentage.
  8. cost price = rs. 800, selling price = rs. 720. find loss percentage.
  9. cost price = rs. 1,500, selling price = rs. 1,800. find profit percentage.
  10. cost price = rs. 640, selling price = rs. 576. find loss percentage.
  11. cost price = rs. 200, selling price = rs. 260. find profit percentage.
  12. cost price = rs. 1,250. selling price = rs. 1,000. find loss percentage.
  13. cost price = rs. 900, selling price = rs. 1,080. find profit percentage.
  14. cost price = rs. 500, selling price = rs. 450. find loss percentage.
  15. cost price = rs. 750, selling price = rs. 900. find profit percentage.
  16. cost price = rs. 300, selling price = rs. 270. find loss percentage.
  17. cost price = rs. 1,600. selling price = rs. 2,000. find profit percentage.
  18. cost price = rs. 840, selling price = rs. 756. find loss percentage.
  19. cost price = rs. 1,100. selling price = rs. 1,265. find profit percentage.
  20. cost price = rs. 480, selling price = rs. 432. find loss percentage.

Explanation:

Step1: Recall profit/loss formulas

Profit = Selling Price (SP) - Cost Price (CP)
Profit % = $\frac{\text{Profit}}{\text{CP}} \times 100$
Loss = Cost Price (CP) - Selling Price (SP)
Loss % = $\frac{\text{Loss}}{\text{CP}} \times 100$

---

Step1: Calculate profit, then %

Profit = $500 - 400 = 100$
Profit % = $\frac{100}{400} \times 100 = 25$

Step1: Calculate loss, then %

Loss = $900 - 810 = 90$
Loss % = $\frac{90}{900} \times 100 = 10$

Step1: Calculate profit, then %

Profit = $300 - 250 = 50$
Profit % = $\frac{50}{250} \times 100 = 20$

Step1: Calculate loss, then %

Loss = $1200 - 1080 = 120$
Loss % = $\frac{120}{1200} \times 100 = 10$

Step1: Calculate profit, then %

Profit = $750 - 600 = 150$
Profit % = $\frac{150}{600} \times 100 = 25$

Step1: Calculate loss, then %

Loss = $1000 - 950 = 50$
Loss % = $\frac{50}{1000} \times 100 = 5$

Step1: Calculate profit, then %

Profit = $420 - 350 = 70$
Profit % = $\frac{70}{350} \times 100 = 20$

Step1: Calculate loss, then %

Loss = $800 - 720 = 80$
Loss % = $\frac{80}{800} \times 100 = 10$

Step1: Calculate profit, then %

Profit = $1800 - 1500 = 300$
Profit % = $\frac{300}{1500} \times 100 = 20$

Step1: Calculate loss, then %

Loss = $640 - 576 = 64$
Loss % = $\frac{64}{640} \times 100 = 10$

Step1: Calculate profit, then %

Profit = $260 - 200 = 60$
Profit % = $\frac{60}{200} \times 100 = 30$

Step1: Calculate loss, then %

Loss = $1250 - 1000 = 250$
Loss % = $\frac{250}{1250} \times 100 = 20$

Step1: Calculate profit, then %

Profit = $1080 - 900 = 180$
Profit % = $\frac{180}{900} \times 100 = 20$

Step1: Calculate loss, then %

Loss = $500 - 450 = 50$
Loss % = $\frac{50}{500} \times 100 = 10$

Step1: Calculate profit, then %

Profit = $900 - 750 = 150$
Profit % = $\frac{150}{750} \times 100 = 20$

Step1: Calculate loss, then %

Loss = $300 - 270 = 30$
Loss % = $\frac{30}{300} \times 100 = 10$

Step1: Calculate profit, then %

Profit = $2000 - 1600 = 400$
Profit % = $\frac{400}{1600} \times 100 = 25$

Step1: Calculate loss, then %

Loss = $840 - 756 = 84$
Loss % = $\frac{84}{840} \times 100 = 10$

Step1: Calculate profit, then %

Profit = $1265 - 1100 = 165$
Profit % = $\frac{165}{1100} \times 100 = 15$

Step1: Calculate loss, then %

Loss = $480 - 432 = 48$
Loss % = $\frac{48}{480} \times 100 = 10$

Answer:

  1. 25%
  2. 10%
  3. 20%
  4. 10%
  5. 25%
  6. 5%
  7. 20%
  8. 10%
  9. 20%
  10. 10%
  11. 30%
  12. 20%
  13. 20%
  14. 10%
  15. 20%
  16. 10%
  17. 25%
  18. 10%
  19. 15%
  20. 10%