Govt Exam — Quantitative Aptitude
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Showing 11–20 of 429 questions
Q.11
Easy
Simple Interest
Priya lent ₹10,000 to her friend at 5% simple interest per annum. After 2.5 years, how much interest will she receive?
Correct Answer:
B. ₹1,250
Explanation:
Step 1: Use SI formula: SI = (P × R × T) / 100.
Step 2: SI = (10000 × 5 × 2.5) / 100 = 125000 / 100 = ₹1,250.
Step 3: The interest earned is ₹1,250.
So option B is correct.
Q.12
Easy
What will be the compound interest on ₹5,000 at 8% per annum for 2 years, compounded annually?
Correct Answer:
A. ₹832
Explanation:
Step 1: Use formula A = P(1 + r/100)^n.
Step 2: A = 5000(1 + 8/100)^2 = 5000(1.08)^2 = 5000 × 1.1664 = 5832.
Step 3: CI = A - P = 5832 - 5000 = ₹832.
So option A is correct.
Q.13
Easy
At what rate of interest per annum will ₹8,000 amount to ₹9,261 in 3 years, compounded annually?
Correct Answer:
B. 5%
Explanation:
Step 1: Use A = P(1 + r/100)^n.
Step 2: 9261 = 8000(1 + r/100)^3.
Step 3: (1 + r/100)^3 = 9261/8000 = 1.157625.
Step 4: Taking cube root, 1 + r/100 = 1.05, so r = 5%.
So option B is correct.
Q.14
Easy
In how many years will ₹10,000 become ₹13,310 at 10% per annum compound interest?
Correct Answer:
C. 3 years
Explanation:
Step 1: Use A = P(1 + r/100)^n formula.
Step 2: 13310 = 10000(1 + 10/100)^n = 10000(1.1)^n.
Step 3: 1.331 = (1.1)^n.
Step 4: Taking log or testing: (1.1)^3 = 1.331.
Therefore n = 3 years.
So option C is correct.
Q.15
Easy
Profit and Loss
A shopkeeper buys a shirt for ₹400 and sells it for ₹520. What is his profit percentage?
Correct Answer:
B. 30%
Explanation:
Step 1: Profit = Selling Price - Cost Price = 520 - 400 = ₹120.
Step 2: Profit% = (Profit/CP) × 100 = (120/400) × 100 = 30%.
So option B is correct.
Q.16
Easy
Profit and Loss
A merchant sells a watch at a loss of 12%. If the cost price is ₹1,500, what is the selling price?
Correct Answer:
B. ₹1,320
Explanation:
Step 1: Loss = 12% of CP = 0.12 × 1,500 = ₹180.
Step 2: SP = CP - Loss = 1,500 - 180 = ₹1,320.
So option B is correct.
Q.17
Easy
Profit and Loss
If an article is sold at ₹810 with a profit of 35%, what was its cost price?
Correct Answer:
A. ₹600
Explanation:
Step 1: Let CP = x. SP = CP + Profit = x + 0.35x = 1.35x.
Step 2: 1.35x = 810, so x = 810/1.35 = ₹600.
So option A is correct.
Q.18
Easy
Profit and Loss
A trader buys 50 kg of sugar at ₹40 per kg and sells it at ₹48 per kg. What is the total profit?
Correct Answer:
C. ₹400
Explanation:
Step 1: Total Cost Price = 50 × 40 = ₹2,000.
Step 2: Total Selling Price = 50 × 48 = ₹2,400.
Step 3: Total Profit = 2,400 - 2,000 = ₹400.
So option C is correct.
Q.19
Easy
Profit and Loss
A merchant buys cloth at ₹450 per meter and sells it at ₹540 per meter. What is the profit percentage?
Correct Answer:
B. 20%
Explanation:
Step 1: Cost Price (CP) = ₹450 per meter.
Step 2: Selling Price (SP) = ₹540 per meter.
Step 3: Profit = SP - CP = 540 - 450 = ₹90.
Step 4: Profit% = (Profit/CP) × 100 = (90/450) × 100 = 20%.
So option B is correct.
Q.20
Easy
Profit and Loss
If an article costs ₹640 and is sold at a loss of 8%, what is the selling price?
Correct Answer:
B. ₹588.80
Explanation:
Step 1: Cost Price = ₹640.
Step 2: Loss = 8% of 640 = 0.08 × 640 = ₹51.20.
Step 3: Selling Price = CP - Loss = 640 - 51.20 = ₹588.80.
So option B is correct.