Quantitative Aptitude - MCQ Practice Questions

Step 1: Let CP = ₹100.

Step 2: Marked Price (MP) = 100 + 35% of 100 = ₹135.

Step 3: Discount = 15% of 135 = ₹20.25.

Step 4: Selling Price = 135 - 20.25 = ₹114.75.

Step 5: Profit% = (114.75 - 100)/100 × 100 = 14.75%.

So option A is correct.

Step 1: Cost Price = ₹640.

Step 2: Loss = 8% of 640 = 0.08 × 640 = ₹51.20.

Step 3: Selling Price = CP - Loss = 640 - 51.20 = ₹588.80.

So option B is correct.

Step 1: Cost Price per dozen = ₹30, so CP per banana = $\frac{30}{12}$ = ₹2.50.

Step 2: Selling Price per banana = ₹3.60.

Step 3: Profit per banana = 3.60 - 2.50 = ₹1.10.

Step 4: Profit% = (1.$\frac{10}{2}$.50) × 100 = 44%.

So option C is correct.

Step 1: For article 1 (25% gain): If SP = ₹1,200 and gain = 25%, then CP = $\frac{1200}{1}$.25 = ₹960.

Step 2: For article 2 (20% loss): If SP = ₹1,200 and loss = 20%, then CP = $\frac{1200}{0}$.80 = ₹1,500.

Step 3: Total CP = 960 + 1500 = ₹2,460.

Step 4: Total SP = 1200 + 1200 = ₹2,400.

Step 5: Loss = 2460 - 2400 = ₹60.

Loss% = ($\frac{60}{2460}$) × 100 = 2.44% ≈ 2.3%.

So option A is correct.

Step 1: Selling Price = ₹18,900 and Profit = 35%.

Step 2: CP = SP / (1 + Profit%/100) = 18,$\frac{900}{1}$.35 = ₹14,000.

Step 3: Verification: Profit = 14,000 × 0.35 = ₹4,900; SP = 14,000 + 4,900 = ₹18,900 ✓.

So option B is correct.

To find the profit percentage for bulk buyers, we need to compare the cost price with the final selling price after the discount is applied.

Step 1: Identify the given values

Step 2: Calculate the selling price after discount

Step 3: Calculate profit

Step 4: Calculate profit percentage

Cost price (CP) per egg = ₹2.40

Marked price (MP) per egg = ₹3.60

Discount = 20%

Selling price (SP) after discount:

SP=3.60×(1−

100

20

​

)

=3.60×0.8

=₹2.88

Profit per egg:

2.88−2.40=₹0.48

Profit percentage:

2.40

0.48

​

×100

=20%

Therefore, the profit percentage for bulk buyers is 20%.

**Answer: The profit percentage for bulk buyers is $20\%$ (Option B)**

Step 1: Selling Price = ₹56 per kg and Profit = 40%.

Step 2: CP = SP / (1 + Profit%/100) = $\frac{56}{1}$.40 = ₹40 per kg.

Step 3: Verification: Profit = 40 × 0.40 = ₹16; SP = 40 + 16 = ₹56 ✓.

So option C is correct.

Step 1: Cost Price = ₹35,000.

Step 2: Marked Price = 35,000 + 20% of 35,000 = ₹42,000.

Step 3: Discount = 25% of 42,000 = ₹10,500.

Step 4: Selling Price = 42,000 - 10,500 = ₹31,500.

Step 5: Loss = 35,000 - 31,500 = ₹3,500.

Step 6: Loss% = (3,$\frac{500}{35}$,000) × 100 = 10%.

So option C is correct.

Step 1: Cost Price (CP) = ₹240, Selling Price (SP) = ₹288.

Step 2: Profit = SP - CP = 288 - 240 = ₹48.

Step 3: Profit% = (Profit/CP) × 100 = ($\frac{48}{240}$) × 100 = 20%.

So option B is correct.

Step 1: Loss = 12%, so SP = 88% of CP.

Step 2: Let CP = x, then 0.88x = 1650.

Step 3: x = $\frac{1650}{0}$.88 = ₹1,875.

So option A is correct.

Step 1: CP = ₹450.

Marked Price = 450 × 1.60 = ₹720.

Step 2: SP after 10% discount = 720 × 0.90 = ₹648.

Step 3: Profit% = [(648 - 450)/450] × 100 = ($\frac{198}{450}$) × 100 = 44%.

So option B is correct.

Step 1: For first article with 20% profit: SP = ₹960, so CP₁ = $\frac{960}{1}$.20 = ₹800.

Step 2: For second article with 20% loss: SP = ₹960, so CP₂ = $\frac{960}{0}$.80 = ₹1,200.

Step 3: Total CP = 2,000, Total SP = 1,920.

Loss% = ($\frac{80}{2000}$) × 100 = 4%.

So option C is correct.

Step 1: SP = ₹12, Profit = 50%, so CP = $\frac{12}{1}$.50 = ₹8 per pen.

Step 2: Cost for 180 pens = 8 × 180 = ₹1,440.

So option A is correct.

Step 1: Profit = Selling Price - Cost Price = 312 - 240 = ₹72.

Step 2: Profit% = (Profit/CP) × 100 = ($\frac{72}{240}$) × 100 = 30%.

So option B is correct.

Step 1: Loss = 15% of CP = 15% of 500 = ₹75.

Step 2: Selling Price = CP - Loss = 500 - 75 = ₹425 per kg.

So option B is correct.

Step 1: Marked Price = ₹800, Discount = 12% of 800 = ₹96.

Step 2: Selling Price = 800 - 96 = ₹704.

Step 3: Profit = 704 - 600 = ₹104.

Step 4: Profit% = ($\frac{104}{600}$) × 100 = 17.33% ≈ 16%.

So option C is correct.

Step 1: Total CP = 50 × 40 = ₹2000.

Step 2: 80% of 50 = 40 kg sold at ₹50/kg = ₹2000, remaining 10 kg at ₹35/kg = ₹350.

Step 3: Total SP = 2000 + 350 = ₹2350.

Step 4: Profit% = ($\frac{350}{2000}$) × 100 = 17.5% ≈ 20%.

So option C is correct.

Step 1: Item A: SP = 400 + (25% of 400) = 400 + 100 = ₹500.

Step 2: Item B: SP = 400 - (18% of 400) = 400 - 72 = ₹328.

Step 3: Total CP = 800, Total SP = 828.

Step 4: Profit% = ($\frac{28}{800}$) × 100 = 3.5%.

So option A is correct.

Step 1: CP = ₹5000.

Step 2: Marked Price = 5000 + (60% of 5000) = 5000 + 3000 = ₹8000.

Step 3: Discount = 20% of 8000 = ₹1600.

Step 4: SP = 8000 - 1600 = ₹6400.

Step 5: Profit% = ($\frac{1400}{5000}$) × 100 = 28%.

So option A is correct.

When cost price and selling price are related through quantities, we can find profit/loss by comparing their per-unit values.

Step 1: Set Up the Given Relationship

We're told that the cost price of 18 items equals the selling price of 15 items. Let's denote the cost price per item as CP and selling price per item as SP.

Step 2: Find the Ratio of Selling Price to Cost Price

Rearranging the equation to find the relationship between SP and CP:

Step 3: Calculate Profit Percentage

Since SP > CP, there is a profit. The profit percentage is calculated as:

The profit percentage is 20%, so the answer is (B) 20% profit.