Quantitative Aptitude - MCQ Practice Questions

HCF × LCM = a × b. 15 × 450 = 75 × b. 6750 = 75b. b = 90

Amount = P(1 + r/100)^t = 8000(1.1)^2 = 8000 × 1.21 = ₹9680. CI = 9680 - 8000 = ₹1680

When selling multiple articles at different profit/loss percentages with equal cost prices, we calculate the overall result by comparing total selling price to total cost price.

Step 1: Calculate selling price of first article (20% profit)

Cost price of first article = ₹1000

Selling price with 20% profit:

Step 2: Calculate selling price of second article (20% loss)

Cost price of second article = ₹1000

Selling price with 20% loss:

Step 3: Find total cost price and total selling price

Step 4: Calculate overall profit or loss

Since the total selling price equals the total cost price, there is no profit and no loss.

Answer: No profit, no loss (Option A)

Relative speed = 45 + 55 = 100 km/h. Time = Distance/Speed = $\frac{400}{100}$ = 4 hours

Let numbers be 4k and 5k. HCF = k = 8. So numbers are 32 and 40

Filling rate = $\frac{1}{10}$, Emptying rate = $\frac{1}{15}$. Net rate = $\frac{1}{10}$ - $\frac{1}{15}$ = $\frac{3}{30}$ - $\frac{2}{30}$ = $\frac{1}{30}$. Time = 30 hours

After 30% discount: 1500 × 0.7 = ₹1050. After additional 10%: 1050 × 0.9 = ₹945

Let manufacturer's CP = x. Wholesaler's CP = 1.2x. Retailer's CP = 1.2x × 1.25 = 1.5x. Customer pays = 1.5x × 1.3 = 1.95x = 1,950. So x = 1,000.

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%.

Article 1: CP₁ = $\frac{1200}{1}$.2 = ₹1,000. Article 2: CP₂ = $\frac{1200}{0}$.8 = ₹1,500. Total CP = ₹2,500, Total SP = ₹2,400. Loss = 4%.

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

SP = MP × 0.8 × 0.85 = MP × 0.68 = 1,292. MP = 1,$\frac{292}{0}$.68 = ₹1,900.

CP of 200 eggs = ($\frac{200}{12}$) × 12 = ₹200. SP = (120 × 1.5) + (80 × 1) = 180 + 80 = ₹260. Profit = $\frac{60}{200}$ × 100 = 25%.

Let CP of 1 item = x. Then 12x = 10 × SP. SP = 1.2x. Profit = 20%.

To find the selling price for a desired profit, we must first find the cost price using the loss information, then calculate the new selling price for the desired gain.

Step 1: Find the Cost Price (CP)

When selling at ₹5 per kg results in a 10% loss, we use:

Step 2: Calculate Selling Price for 15% Gain

For a 15% gain, the selling price should be:

Step 3: Simplify

Answer: ₹6.39 per kg (Option A)

SP = 2,000 × 0.8 × 0.9 × 0.95 = 2,000 × 0.684 = ₹1,368.

SP = ($\frac{4}{3}$)CP. Profit = SP - CP = ($\frac{4}{3}$)CP - CP = ($\frac{1}{3}$)CP. Profit% = ($\frac{1}{3}$)/(CP) × 100 = 33.33%.

To find profit, we must track the cost price (including transportation) and selling price (after markup and discount).

Step 1: Calculate total cost price

The merchant buys goods for ₹6,000 and pays 10% extra for transportation:

Step 2: Calculate marked price

He marks up the goods by 25% on the cost price:

Step 3: Calculate selling price after discount

He offers a discount of 8% on the marked price:

Step 4: Calculate profit

Answer: The profit is ₹990 (Option A)

CP per kg = $\frac{150}{3}$ = ₹50. SP per kg = $\frac{120}{2}$ = ₹60. Profit per kg = ₹10. Profit% = $\frac{10}{50}$ × 100 = 20%.