Profit, Loss and Discount Questions

Multiple choice
  1. $6\%$
  2. $5\%$
  3. $4\%$
  4. $8\%$
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Total cost = 3 * 2500 = 7500. Total selling price = 3 * 2575 = 7725. Profit = 225. Profit on first = 0.08 * 2500 = 200. Loss on second = 0.03 * 2500 = 75. Net profit so far = 125. Profit needed on third = 225 - 125 = 100. Profit percent = (100 / 2500) * 100 = 4%.

Multiple choice
  1. $Rs \ 150$
  2. $Rs \ 90$
  3. $Rs \ 75$
  4. $Rs \ 100$
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Let the cost of the cheaper clock be x. The cost of the costlier clock is 1.25x. Total cost = 2.25x. Selling prices: 1.10 * 1.25x + 1.075 * x = 1.375x + 1.075x = 2.45x. Given 2.45x = 98, so x = 40. Total cost = 2.25 * 40 = 90.

Multiple choice
  1. Rs $910.80$
  2. Rs $900.50$
  3. Rs $910.50$
  4. Rs $980.50$
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

List price = 1000. After 10% and 20% discounts: 1000 * 0.9 * 0.8 = 720. Expenses = 10% of 720 = 72. Total cost = 720 + 72 = 792. To get 15% profit, sell at 792 * 1.15 = 910.80.

Multiple choice
  1. Rs 350

  2. Rs 720

  3. Rs 360

  4. Rs 460

Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Let CP = x. MP = 1.25x. Cash sales (3/4 of 40 = 30) at 10% discount: SP = 30 * (1.25x * 0.9) = 33.75x. Credit sales (10) at 5% discount: SP = 10 * (1.25x * 0.95) = 11.875x. Total SP = 45.625x. Total CP = 40x. Profit = 5.625x = 2025. x = 2025 / 5.625 = 360.

Multiple choice
  1. Rs.$6000$
  2. Rs.$6400$
  3. Rs.$7200$
  4. Rs.$7000$
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Let CP be the cost price. Profit = 20% of CP = 0.2 * CP = 800. So CP = 4000. Selling price SP = 1.2 * CP = 4800. SP is also 75% of Marked Price (MP) because of 25% discount. 0.75 * MP = 4800. MP = 4800 / 0.75 = 6400.

Multiple choice
  1. 30.0%

  2. 28.8%

  3. 27.2%

  4. 25.5%

Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Let CP = 100. Marked Price = 140. Cash sales (3/5): 10% discount, SP = 0.9 * 140 = 126. Credit sales (2/5): 5% discount, SP = 0.95 * 140 = 133. Weighted average SP = (3/5)*126 + (2/5)*133 = 75.6 + 53.2 = 128.8. Profit = 28.8%.

Multiple choice
  1. 10%

  2. 8%

  3. 12%

  4. 9%

Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

If selling at 300 gives 20% profit, the cost price is 300/1.2 = 250. The marked price is not explicitly given, but assuming the 300 was the original selling price (and assuming no discount initially), the marked price is 300. A 10% discount on 300 makes the new selling price 270. The gain is 270 - 250 = 20, and the gain percent is (20/250)*100 = 8%.