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12 questions · timed · auto-graded

Question 12 Marks
A sum of ₹12,500 is deposited for $1 \frac{1}{2}$ years, compounded half yearly. It amounts to ₹13,000 at the end of first half year. Find:
(i) The rate of interest
(ii) The final amount. Give your answer correct to the nearest rupee.
Answer
(i) 8% p.a.
(ii) ₹14061
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Question 22 Marks
Find the amount and the compound interest on ₹ 125000 for $1 \frac{1}{2}$ years at 12% per annum, compounded half-yearly.
Answer
Amount = ₹ 148877, C.I. = ₹23877
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Question 32 Marks
Find the amount and the compound interest on ₹ 7500 for 2 years 8 months at 10% p.a., compounded annually
Answer
Amount = ₹ 9680, C.I. = ₹2180
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Question 42 Marks
On what sum of money will the compound interest for 2 years at 8% per annum be ₹7488?
Answer
₹45000
[Hint. $\left.x\left(1+\frac{8}{100}\right)^2-x\right\}=$ 7488. Find $x$.]
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Question 52 Marks
The simple interest on a sum of money at 12% per annum for 1 year is ₹ 900 . Find :
(i) the sum of money and
(ii) the compound interest on this sum for 1 year, payable half-yearly at the same rate.
Answer
(i) ₹7500,
(ii) ₹927
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Question 62 Marks
Calculate the amount and the compound interest on ₹ 10000 for 2 years at 8% p.a., compounded annually.
Answer
Amount = ₹ 11664, C.I. = ₹1664
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Question 72 Marks
Amit started a shop by investing ₹ 500000. In the first year, he incurred a loss of 5%. However, during the second year, he earned a profit of 10% which in the third year rose to 12%. Calculate his net profit for the entire period of three years.
Answer
₹ 585200
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Question 82 Marks
On what sum of money will the compound interest for 2 years at 8% per annum be ₹ 7488?
[Hint. $\left.x\left(1+\frac{8}{100}\right)^2-x\right\}=7488$. Find $x$.]
Answer
₹ 45000
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Question 92 Marks
A sum of  ₹ 12,500 is deposited for $1 \frac{1}{2}$ years, compounded half yearly. It amounts to ₹ 13,000 at the end of first half year. Find:
(i) The rate of interest
(ii) The final amount. Give your answer correct to the nearest rupee.
Answer
(i) 8% p.a., (ii) ₹ 14061
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Question 102 Marks
Calculate the amount and the compound interest on ₹ 16000 for 1 year at 15% per annum, compounded half-yearly.
Answer
Amount = ₹ 18490, C.I. = ₹ 2490
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Question 112 Marks
The simple interest on a sum of money for 2 years at 10% p.a. is ₹ 1700. Find:
(i) the sum of money,
(ii) the compound interest on this sum for 1 year, payable half-yearly at the same rate.
Answer
(i) ₹ 8500, (ii) ₹ 871.25
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Question 122 Marks
Calculate the amount and the compound interest on ₹ 15000 for 2 years compounded annually, the rates of interest for the successive years being 8% and 9% per annum respectively.
Answer
Amount = ₹ 17658, C.I. = ₹ 2658
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[2 Mark Question Answer] - MATHEMATICS STD 9 Questions - Vidyadip