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 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.

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: 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: Calculate SI = (P × R × T) / 100 = (12,000 × 7.5 × 4) / 100 = 360,$\frac{000}{100}$ = ₹3,600.

Step 2: Amount = Principal + SI = 12,000 + 3,600 = ₹15,600.

Option A is correct.

Let sum = P.

Step 1: SI₁ = (P × 9 × 5) / 100 = 45P/100.

Step 2: SI₂ = (P × 6 × 8) / 100 = 48P/100.

Step 3: Difference = 48P/100 - 45P/100 = 3P/100 = 840.

Step 4: P = 84,$\frac{000}{3}$ = ₹2,000.

Option A is correct.

Step 1: Extra interest earned on ₹5,000 in 4 years = ₹1,200.

Step 2: Using SI = (P × R × T) / 100, we have 1,200 = (5,000 × R × 4) / 100.

Step 3: 1,200 = 200R.

Step 4: R = 1,$\frac{200}{200}$ = 6% p.a.

Option B is correct.

Step 1: Use formula A = P(1 + r/100)^n.

Step 2: 29160 = 25000(1 + r/100)^2.

Step 3: (1 + r/100)^2 = $\frac{29160}{25000}$ = 1.1664.

Step 4: 1 + r/100 = √1.1664 = 1.08.

Step 5: r/100 = 0.08, so r = 8% per annum.

Step 1: For quarterly compounding, use A = P(1 + r/400)^(4n).

Step 2: A = 40000(1 + $\frac{10}{400}$)^4 = 40000(1.025)^4.

Step 3: (1.025)^4 = 1.10381289.

Step 4: A = 40000 × 1.10381289 = ₹44,152.52 ≈ ₹44,155.06.

To find the difference between compound interest and simple interest, we calculate each separately, then subtract.

Step 1: Calculate Simple Interest

Simple interest uses the formula $SI=\frac{P\times R\times T}{100}$, where principal $P=₹5000$, rate $R=12\%$ per annum, and time $T=3$ years.

Step 2: Calculate Compound Interest

Compound interest uses the formula $A=P{\left(1+\frac{R}{100}\right)}^T$, where the final amount is:

**Step 3: Evaluate $(1.12{)}^3$

Therefore:

The compound interest is:

Step 4: Find the Difference

**Answer: The difference between compound interest and simple interest is $₹224.64$ (Option C)**

Step 1: Use A = P(1 + r/100)^n, rearranged to find P = A/(1 + r/100)^n.

Step 2: 15625 = P(1.25)^3.

Step 3: P = 15625/(1.25)^3 = $\frac{15625}{1}$.953125 = ₹8,000.

The original principal was ₹8,000.

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.

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.

In simple interest, the amount grows linearly with time. The key is to find how much interest accrues per year, then work backward to find the principal.

Step 1: Find the interest earned between year 2 and year 4

The amount after 2 years is ₹4200, and after 4 years is ₹4800.

In 2 years (from year 2 to year 4), the interest earned is:

Step 2: Calculate annual simple interest

Since simple interest is constant each year:

Step 3: Find total interest in first 2 years

If the annual interest is ₹300, then in 2 years:

Step 4: Calculate the principal

Using the formula: $\text{Amount}=\text{Principal}+\text{Simple Interest}$

Verification: Principal ₹3600 at SI of ₹300/year gives ₹4200 in 2 years ✓ and ₹4800 in 4 years ✓

Answer: The principal is ₹3600 (Option B)