Quantitative Aptitude - MCQ Practice Questions

Step 1: Identify Cost Price and Selling Price

Cost Price (CP) = ₹8 per kg and Selling Price (SP) = ₹12 per kg

Step 2: Calculate Profit

Profit = Selling Price − Cost Price

Step 3: Calculate Profit Percentage

Profit percentage is calculated as profit divided by cost price, multiplied by 100

The trader's profit percentage is 50%.

Step 1: Identify the given information

Cost Price (CP) = ₹450 and Loss = 8%

Step 2: Calculate the loss amount

Loss amount = 8% of Cost Price

Step 3: Calculate the selling price

Selling Price = Cost Price − Loss amount

The selling price of the article is ₹414.

Step 1: Find profit per notebook

The retailer buys at ₹40 and sells at ₹50, so profit on each notebook is the difference.

Step 2: Set up equation for total profit

Let the number of notebooks sold be x. The total profit equals profit per notebook multiplied by number of notebooks.

Step 3: Solve for number of notebooks

Divide both sides by 10 to find x.

The retailer must sell 60 notebooks to make a profit of ₹600.

Step 1: Profit = Selling Price - Cost Price = 520 - 400 = ₹120.

Step 2: Profit% = (Profit/CP) × 100 = ($\frac{120}{400}$) × 100 = 30%.

So option B is correct.

Step 1: Loss = 12% of CP = 0.12 × 1,500 = ₹180.

Step 2: SP = CP - Loss = 1,500 - 180 = ₹1,320.

So option B is correct.

Step 1: Let CP = x. SP = CP + Profit = x + 0.35x = 1.35x.

Step 2: 1.35x = 810, so x = $\frac{810}{1}$.35 = ₹600.

So option A is correct.

Step 1: Total Cost Price = 50 × 40 = ₹2,000.

Step 2: Total Selling Price = 50 × 48 = ₹2,400.

Step 3: Total Profit = 2,400 - 2,000 = ₹400.

So option C is correct.

Step 1: Cost Price (CP) = ₹450 per meter.

Step 2: Selling Price (SP) = ₹540 per meter.

Step 3: Profit = SP - CP = 540 - 450 = ₹90.

Step 4: Profit% = (Profit/CP) × 100 = ($\frac{90}{450}$) × 100 = 20%.

So option B 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: 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.

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 (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: 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.

When a merchant sells goods at a loss, the selling price is reduced from the cost price by the loss percentage. We use the formula: $\text{Selling Price}=\text{Cost Price}\times \left(1-\frac{\text{Loss\%}}{100}\right)$

Step 1: Identify the given information

Step 2: Apply the loss formula

When there is a loss of 15%, the selling price is 85% of the cost price:

Step 3: Simplify the percentage

Step 4: Calculate the selling price

Answer: The merchant sold the goods at Rs. 1700 (Option A)

SP = ₹432 at 10% loss. CP = $\frac{432}{0}$.9 = ₹480. For 20% profit: SP = 480 × 1.2 = ₹576.

Let CP = 100. MP = 160. SP = 160 × 0.75 = 120. Profit = 20%.

CP per book = $\frac{400}{5}$ = ₹80. SP per book = $\frac{400}{4}$ = ₹100. Profit = $\frac{20}{80}$ × 100 = 25%.