Govt Exams
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Topics in Quantitative Aptitude
Rajesh borrowed ₹8000 from a bank at a simple interest rate of 6% per annum for 3 years. How much total amount will he have to repay?
Correct Answer:
A. ₹9440
EXPLANATION
Step 1: Use SI formula = (P × R × T) / 100.
Step 2: SI = (8000 × 6 × 3) / 100 = 144000 / 100 = ₹1440.
Step 3: Total Amount = Principal + SI = 8000 + 1440 = ₹9440.
If a vendor sells bananas at a loss of 15% and the cost price is ₹500 per kg, at what price does he sell per kg?
Correct Answer:
B. ₹425
EXPLANATION
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.
A merchant buys a shirt for ₹240 and sells it for ₹312. What is the profit percentage?
Correct Answer:
B. 30%
EXPLANATION
Step 1: Profit = Selling Price - Cost Price = 312 - 240 = ₹72.
Step 2: Profit% = (Profit/CP) × 100 = (72/240) × 100 = 30%.
So option B is correct.
A factory reduces its production by 18% due to lockdown. If the original production was 5,000 units per day, how many units are produced now?
Correct Answer:
C. 4,100 units
EXPLANATION
Step 1: Reduction in production = 18% of 5,000 = 0.18 × 5,000 = 900 units.
Step 2: Current production = 5,000 - 900 = 4,100 units per day.
Therefore, option C is correct.
The population of a town was 50,000 last year. If it increased by 8% this year, what is the current population?
Correct Answer:
B. 54,000
EXPLANATION
Step 1: Population increase = 8% of 50,000 = 0.08 × 50,000 = 4,000.
Step 2: Current population = 50,000 + 4,000 = 54,000.
Therefore, option B is correct.
A shopkeeper buys an item for ₹250 and wants to earn a profit of 20%. At what price should the item be sold?
Correct Answer:
B. ₹300
EXPLANATION
Step 1: Profit = 20% of ₹250 = 0.20 × 250 = ₹50.
Step 2: Selling Price = Cost Price + Profit = 250 + 50 = ₹300.
Therefore, option B is correct.
A student scored 72 marks out of 120 in an exam. What is the percentage of marks obtained?
Correct Answer:
B. 60%
EXPLANATION
Step 1: Percentage = (Marks obtained/Total marks) × 100 = (72/120) × 100.
Step 2: = 0.6 × 100 = 60%.
Therefore, option B is correct.
If the price of milk increases from ₹40 per liter to ₹50 per liter, what is the percentage increase?
Correct Answer:
C. 25%
EXPLANATION
Step 1: Increase in price = ₹50 - ₹40 = ₹10.
Step 2: Percentage increase = (Increase/Original Price) × 100 = (10/40) × 100 = 25%.
Therefore, option C is correct.
A shirt marked at ₹800 is sold at a discount of 15%. What is the selling price?
Correct Answer:
A. ₹680
EXPLANATION
Step 1: Discount = 15% of ₹800 = 0.15 × 800 = ₹120.
Step 2: Selling Price = Marked Price - Discount = 800 - 120 = ₹680.
Therefore, option A is correct.
Q.400
Easy
Compound Interest
A sum of money doubles itself at 10% per annum compound interest. In how many years will it double?
Correct Answer:
A. 7.2 years
EXPLANATION
Step 1: Use formula 2P = P(1.10)^n where 2P is the doubled amount.
Step 2: Divide by P to get 2 = (1.10)^n.
Step 3: Taking log: n = log(2)/log(1.10) = 0.301/0.0414 ≈ 7.2 years.