Quantitative Aptitude - MCQ Practice Questions

To find the required selling price, we need to work backwards from the desired overall profit.

Step 1: Calculate Selling Price of Item A

Item A is sold at 15% profit on its cost price of ₹4,000.

Step 2: Calculate Total Cost Price and Required Total Selling Price

The total cost price of both items combined is the sum of individual cost prices.

For an overall profit of 5%, the total selling price should be:

Step 3: Find Required Selling Price of Item B

Since Total Selling Price = Selling Price of A + Selling Price of B:

The selling price of Item B should be ₹5,900.

Cost price of Item A =₹4,000

Sold at 15% profit:

SP

A

​

=4000+15% of 4000

=4000+600=₹4600

Cost price of Item B =₹6,000

Total cost price:

4000+6000=₹10,000

For an overall profit of 5%:

Required total selling price=10000+5% of 10000

=10000+500=₹10,500

Therefore, required selling price of Item B:

SP

B

​

=10500−4600

=₹5900

So, the selling price of Item B should be:

₹5,900

​

Answer: (B) 5900

Step 1: Find the Cost Price of the first item (25% profit)

If selling price is ₹2,000 with 25% profit, then SP = CP × 1.25

Step 2: Find the Cost Price of the second item (25% loss)

If selling price is ₹2,000 with 25% loss, then SP = CP × 0.75

Step 3: Calculate overall profit or loss percentage

Total Cost Price = ₹1,600 + ₹2,666.67 = ₹4,266.67

Total Selling Price = ₹2,000 + ₹2,000 = ₹4,000

**The merchant made an overall loss of 6.

Step 1: Marked Price = ₹1000.

Wholesaler's SP (Retailer's CP) = 1000 × (1 - 0.30) = ₹700.

Step 2: Retailer marks at 20% above CP: New MP = 700 × 1.20 = ₹840.

Step 3: Retailer gives 10% discount: Final SP = 840 × 0.90 = ₹756.

So option A is correct.

Step 1: SP of first laptop = 25,000 × 1.12 = ₹28,000.

Step 2: SP of second laptop = 25,000 × 0.84 = ₹21,000.

Step 3: Total SP = 28,000 + 21,000 = ₹49,000.

So option B should be correct, but rechecking: 25,000 × 0.84 = 21,000 and 25,000 × 1.12 = 28,000, total = 49,000.

Correction: option is ₹49,000.

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: 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: CP of 3 articles = ₹100, so CP of 1 article = $\frac{100}{3}$.

Step 2: SP of 2 articles = ₹100, so SP of 1 article = $\frac{100}{2}$ = ₹50.

Step 3: Profit on 1 article = 50 - $\frac{100}{3}$ = $\frac{150}{3}$ - $\frac{100}{3}$ = $\frac{50}{3}$.

Step 4: Profit% = ($\frac{50}{3}$)/($\frac{100}{3}$) × 100 = ($\frac{50}{100}$) × 100 = 50%.

So option B is correct.

Step 1: After 15% discount: 2000 - (15% of 2000) = 2000 - 300 = ₹1700.

Step 2: After 10% discount on ₹1700: 1700 - (10% of 1700) = 1700 - 170 = ₹1530.

Step 3: This is the SP.

If profit is 20%, then SP = CP × 1.2, so 1530 = CP × 1.2.

Step 4: CP = $\frac{1530}{1}$.2 = ₹1275 ≈ ₹1300.

So option B is correct.

Let CP = x, MP = y. SP = 0.75y. Profit = 25%, so SP = 1.25x. Therefore, 0.75y = 1.25x. Ratio CP:MP = x:y = 0.75:1.25 = 3:5

This problem involves understanding profit and loss relationships under different buying and selling scenarios.

Step 1: Set Up Variables for Current Transaction

Let the cost price be C. The merchant sells at ₹504 with some profit.

Step 2: Set Up the Hypothetical Scenario Equation

If he bought at 10% more and sold at ₹28 less, he would incur a 10% loss.

Step 3: Apply Loss Formula

In a loss scenario: Cost Price = Selling Price + Loss

Step 4: Solve for Cost Price

The cost price is ₹480.81, which rounds to ₹481 (Option D).