Profit, Loss and Discount Questions

Multiple choice
  1. Rs. $2625$
  2. Rs. $2575$
  3. Rs. $2500$
  4. Rs. $2400$
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Retail price = 3240, gain = 20%. Cost for retail = 3240 / 1.2 = 2700. This is the selling price for the wholesale dealer at 12.5% profit. Wholesale cost = 2700 / 1.125 = 2400.

Multiple choice
  1. $\displaystyle 16\frac{2}{3}$ $\%$
  2. $\displaystyle 18\frac{2}{9}$ $\%$
  3. $25\%$
  4. $\displaystyle 26\frac{2}{3}$ $\%$
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Selling price of each is 5000. Total SP = 10000. No gain/loss means Total CP = 10000. CP1 = 5000 / 1.25 = 4000. CP2 = 10000 - 4000 = 6000. Loss on second = 6000 - 5000 = 1000. Loss% = (1000/6000) * 100 = 16 2/3%.

Multiple choice
  1. $10000, 20000$
  2. $15000, 15000$
  3. $17500, 12500$
  4. $16000, 14000$
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Let CP1 = x, CP2 = 30000-x. SP1 = 0.85x, SP2 = 1.19(30000-x). 0.85x = 1.19(30000-x). 0.85x = 35700 - 1.19x. 2.04x = 35700. x = 17500. CP1 = 17500, CP2 = 12500.

Multiple choice
  1. a weight of $875$ gm
  2. a weight of $900$ gm
  3. a weight of $950$ gm
  4. a weight of $850$ gm
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Gain = 11 1/9% = 100/9%. Gain = (True weight - False weight) / False weight * 100. 100/9 = (1000 - x) / x * 100 => 1/9 = (1000 - x) / x => x = 9000 - 9x => 10x = 9000 => x = 900 gm.

Multiple choice
  1. $\displaystyle 17\frac{1}{2}$%
  2. $\displaystyle 33\frac{1}{3}$%
  3. $\displaystyle 22\frac{1}{2}$%
  4. $20\%$
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Let the total goods be 1 unit. 1/4 sold at 10% loss (-0.1 * 1/4 = -0.025). Remaining 3/4 sold at x% profit. Total profit required = 12.5% (0.125). Equation: -0.025 + 0.75x = 0.125. 0.75x = 0.15. x = 0.15 / 0.75 = 0.2 = 20%.

Multiple choice
  1. Rs. $50$
  2. Rs. $60$
  3. Rs. $80$
  4. Rs. $90$
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Let CP be x. Total CP = 90x. Profit 1 = 0.1 * 40x + 0.2 * 50x = 4x + 10x = 14x. Profit 2 = 0.15 * 90x = 13.5x. Difference = 14x - 13.5x = 0.5x. Given 0.5x = 40, so x = 80.

Multiple choice
  1. Rs. $18$
  2. Rs. $10$
  3. Rs. $12$
  4. Rs. $14$
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

The total cost of 16 dozen pens is Rs. 240, so the cost per dozen is Rs. 15. If the loss equals the selling price of 4 dozen, then 16 dozen cost equals the selling price of 20 dozen, giving a selling price of Rs. 12 per dozen.