Profit, Loss and Discount Questions

Multiple choice
  1. Rs. 10,000 and Rs. 9,500

  2. Rs. 11,500 and Rs. 8,000

  3. Rs. 12,000 and Rs. 7,500

  4. Rs. 10,500 and Rs. 9,000

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

Let CP1 = x, CP2 = 19500-x. SP1 = 0.8x, SP2 = 1.15(19500-x). 0.8x = 1.15(19500-x) => 0.8x = 22425 - 1.15x => 1.95x = 22425 => x = 11500. CP2 = 19500 - 11500 = 8000.

Multiple choice
  1. 8.33%

  2. 6.67%

  3. 12.25%

  4. 6.33%

  5. None of these

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

Let CP = 100. Selling at 3/5 of SP results in 35% loss, so 3/5 * SP = 65. SP = 65 * 5 / 3 = 325 / 3 = 108.33. Profit = 108.33 - 100 = 8.33%.

Multiple choice
  1. Rs. 3600

  2. Rs. 3500

  3. Rs. 600

  4. Rs. 700

  5. Rs. 800

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

Let Q cost x, P cost x+200. SP_P = 1.6(x+200), SP_Q = 0.4x. Difference: 1.6x + 320 - 0.4x = 1040 => 1.2x = 720 => x = 600.

Multiple choice
  1. Rs. 200

  2. Rs. 400

  3. Rs. 450

  4. Rs. 350

  5. None of these

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

Using the allegation method: (15.25 - 13) / (13 - 10) = 2.25 / 3 = 3/4. The ratio of Book to Novel CP is 3:4. Total parts = 7. Each part = 2800/7 = 400. Difference = 4 - 3 = 1 part = 400.

Multiple choice
  1. 34%

  2. 18%

  3. Data inadequate

  4. 28%

  5. 16%

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

Let the labelled price be 100. The cost price is 80 (20% discount). Selling at 10% loss on cost means selling at 72. If he bought at the labelled price (100), the loss would be 100 - 72 = 28, which is 28% of 100.

Multiple choice
  1. Rs.180

  2. Rs.156

  3. Rs.64

  4. Rs. 28

  5. None of the above

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

Cost price is 800. Marked price = 800 * 1.5 = 1200. After 10% discount, price = 1200 * 0.9 = 1080. After additional 20% discount, price = 1080 * 0.8 = 864. Profit = 864 - 800 = 64.

Multiple choice
  1. 22500

  2. 15000

  3. 18500

  4. 25000

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

Verma sold at 22000 with 10% gain, so CP for Verma = 22000 / 1.1 = 20000. Verma spent 2000 on service, so his purchase price was 20000 - 2000 = 18000. Tripathi sold to Verma at a 20% loss, so 18000 = 0.8 * (Tripathi's CP). Tripathi's CP = 18000 / 0.8 = 22500.