Quantitative Aptitude - MCQ Practice Questions

Step 1: Percentage spent on rent and food = 35% + 20% = 55%.

Step 2: Amount spent = 55% of ₹45,000 = 0.55 × 45,000 = ₹24,750.

Therefore, option A is correct.

Step 1: After 12% increase: Price = 500 × (1 + 0.12) = 500 × 1.12 = ₹560.

Step 2: After 10% decrease: Price = 560 × (1 - 0.10) = 560 × 0.90 = ₹504.

Therefore, option B is correct.

To solve this problem, we need to find the original speed, calculate the reduced speed, and then determine the time needed to cover the reduced distance.

Step 1: Calculate Original Speed

The train travels 240 km in 4 hours, so we divide distance by time to find speed.

Step 2: Calculate Reduced Speed

The speed reduces by 25%, so the new speed is 75% of the original speed.

Step 3: Calculate Time for 180 km at Reduced Speed

Using the formula Time = Distance ÷ Speed, we find how long it takes to cover 180 km.

The train will take 4 hours to cover 180 km at the reduced speed.

Original speed of the train:

Speed=

4

240

​

=60 km/h

Speed reduced by 25%:

Reduced speed=60−25% of 60

=60−15=45 km/h

Time to cover 180 km at reduced speed:

Time=

45

180

​

=4 hours

Therefore, the train will take:

Answer: (A) 4 hours

Let CP of 1 article = 1. CP of 8 = 8. SP of 10 = 8, so SP of 1 = 0.8. Loss = 1 - 0.8 = 0.2 = 20%.

Let number = 100. After 50% increase: 150. After 50% decrease: 150 × 0.5 = 75. Net change = (75-100)/100 × 100 = -25%.

SP = CP × (1 + profit%) = 800 × 1.35 = 1080.

SI = (P × R × T)/100 = (5000 × 8 × 3)/100 = 1200. Total = 5000 + 1200 = 6200.

Value after 2024 = 10 × 1.12 = 11.2 lakhs. Value after 2025 = 11.2 × 1.08 = 12.096 ≈ 12.09 lakhs.

Equivalent discount = 100 - (90 × 80)/100 = 100 - 72 = 28%.

MP = 8000 × 1.60 = 12,800. SP = 12,800 × 0.75 = 9,600. Profit = 9,600 - 8,000 = 1,600. Profit% = (1,$\frac{600}{8}$,000) × 100 = 20%.

CP = 100, MP = 160, SP = 160 × 0.8 = 128. Profit% = 28%.

After 15% discount: 2000 × 0.85 = 1700. After 10% discount: 1700 × 0.9 = 1530.

When a man sells an item at a loss, the selling price is calculated as a percentage reduction from the cost price. Here, we lose 15% of the original value.

Step 1: Identify the given information

Cost Price (C.P.) = ₹1200

Loss percentage = 15%

Step 2: Calculate the loss amount

Loss amount is 15% of the cost price:

Step 3: Calculate the selling price

Selling price is obtained by subtracting the loss from the cost price:

Alternative method (direct formula):

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

Answer: The selling price is ₹1020 (Option D)

Value = 10,000 × (1.08)² = 10,000 × 1.1664 = 11,664.

Sale price = 500 × 0.7 = 350.

CP × 1.1 = 1100, so CP = 1000.

Value = 500,000 × (0.95)² = 500,000 × 0.9025 = 451,250.

2025 revenue = 1 crore × 1.35 = 1.35 crore.

Profit per mango = 5. Total profit = 5 × 100 = 500.

40% of MP = 480. MP = $\frac{480}{0}$.4 = 1200.