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1.
The compound interest on ₹ 8,000 at 5% per annum for 3 years is:
Correct Answer: D [₹ 1,261]
Explanation:
8,000 × 1.157625 = 9,261 → CI ₹ 1,261.
2.
The difference between CI and SI on ₹ 10,000 at 10% per annum for 3 years is:
Correct Answer: B [₹ 310]
Explanation:
10,000 × 0.01 × 3.1 = ₹ 310.
3.
The difference between CI and SI on a sum for 2 years at 8% per annum is ₹ 64. The sum is:
Correct Answer: E [₹ 10,000]
Explanation:
P = 64/0.0064 = ₹ 10,000.
4.
A sum amounts to ₹ 7,260 in 2 years and to ₹ 7,986 in 3 years at compound interest. The sum is:
Correct Answer: C [₹ 6,000]
Explanation:
Year-3 interest 726 = 10% of 7,260 → R = 10% → P = 7,260/1.21 = ₹ 6,000.
5.
The compound interest on ₹ 16,000 at 20% per annum compounded quarterly for 6 months is:
Correct Answer: A [₹ 1,640]
Explanation:
5% per quarter for 2 quarters: 16,000 × 0.1025 = ₹ 1,640.
6.
At simple interest a sum becomes 7/4 of itself in 6 years. The rate of interest per annum is:
Correct Answer: C [12 1/2%]
Explanation:
Interest = 3/4 of P in 6 years → R = 75/6 = 12 1/2%.
7.
A loan of ₹ 16,400 at 5% per annum compound interest is repaid in two equal annual instalments. Each instalment is:
Correct Answer: B [₹ 8,820]
Explanation:
16,400 = x(20/21 + 400/441) = 820x/441 → x = ₹ 8,820.
8.
₹ 12,000 is invested at compound interest, at 10% for the first year and 15% for the second year. The amount after 2 years is:
Correct Answer: A [₹ 15,180]
Explanation:
12,000 × 1.1 × 1.15 = ₹ 15,180.
9.
Quantity I: the compound interest on ₹ 5,000 at 10% per annum for 2 years
Quantity II: the simple interest on ₹ 5,000 at 10.5% per annum for 2 years
Quantity II: the simple interest on ₹ 5,000 at 10.5% per annum for 2 years
Correct Answer: E [Quantity I = Quantity II or relation cannot be established]
Explanation:
I: 5,000 × 0.21 = 1,050. II: 5,000 × 10.5 × 2/100 = 1,050.
10.
What is the rate of compound interest per annum (compounded annually)?
I. A sum amounts to ₹ 14,400 in 2 years.
II. The sum is ₹ 10,000.
I. A sum amounts to ₹ 14,400 in 2 years.
II. The sum is ₹ 10,000.
Correct Answer: D [Both statements together are needed]
Explanation:
I alone lacks P; II alone lacks any amount.
11.
Trick Spotter: the fastest way to find the difference between CI and SI on ₹ 20,000 at 5% for 2 years is:
Correct Answer: B [20,000 × (5/100)² = 20,000/400 = ₹ 50]
Explanation:
Difference Square: P(R/100)² = ₹ 50.
12.
Spot My Mistake: "Compound interest on ₹ 9,000 at 10% per annum for 2 years (compounded annually) = 9,000 × 10 × 2/100 = ₹ 1,800." Which statement is correct?
Correct Answer: B [That is the simple interest; CI = 9,000 × 1.21 − 9,000 = ₹ 1,890]
Explanation:
CI adds interest on interest: 9,000 × 0.21 = ₹ 1,890 (₹ 90 more than SI).
13.
Which of the following is/are correct?
I. For one year with annual compounding, CI = SI.
II. CI − SI for 2 years = P(R/100)².
III. At SI, a sum that doubles in 8 years becomes 3 times in 12 years.
I. For one year with annual compounding, CI = SI.
II. CI − SI for 2 years = P(R/100)².
III. At SI, a sum that doubles in 8 years becomes 3 times in 12 years.
Correct Answer: C [Only I and II]
Explanation:
I ✓. II ✓. III ✗ – R = 12.5%, so 3 times needs RT = 200 → 16 years.
14.
A sum becomes 3 times itself in 5 years at compound interest. In how many years will it become 27 times itself?
Correct Answer: D [15 years]
Explanation:
27 = 3³ → 3 × 5 = 15 years.
15.
The compound interest on a sum for the 2nd year is ₹ 1,650 and for the 3rd year is ₹ 1,782. The rate of interest is:
Correct Answer: E [8%]
Explanation:
132/1,650 = 0.08 → 8%.
16.
Reverse question: the simple interest on a sum for 2 years at 10% per annum is ₹ 1,200. The compound interest on the same sum at the same rate for 2 years is:
Correct Answer: A [₹ 1,260]
Explanation:
P = 6,000 → CI = 6,000 × 0.21 = ₹ 1,260 (= SI + 10% of one year's SI).
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