Page No 144:
Question 1:
Find the amount and the compound interest on Rs 2500 for 2 years at 10% per annum, compounded annually.
Answer:
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Question 2:
Find the amount and the compound interest on Rs 15625 for 3 years at 12% per annum, compounded annually.
Answer:
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Question 3:
Find the difference between the simple interest and the compound interest on Rs 5000 for 2 years at 9% per annum.
Answer:
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Question 4:
Ratna obtained a loan of Rs 25000 from the Syndicate Bank to renovate her house. If the rate of interest is 8% per annum, what amount will she have to pay to the bank after 2 years to discharge her debt?
Answer:
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Question 5:
Harpreet borrowed Rs 20000 from her friend at 12% per annum simple interest. She lent it to Alam at the same rate but compounded annually. Find her gain after 2 years.
Answer:
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Question 6:
Manoj deposited a sum of Rs 64000 in a post office for 3 years, compounded annually at per annum. What amount will he get on maturity?
Answer:
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Question 7:
Divakaran deposited a sum of Rs 6250 in the Allahabad Bank for 1 year, compounded half-yearly at 8% per annum. Find the compound interest he gets.
Answer:
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Question 8:
Michael borrowed Rs 16000 from a finance company at 10% per annum, compounded half-yearly. What amount of money will discharge his debt after years?
Answer:
Page No 151:
Question 1:
By using the formula, find the amount and compound interest on:
Rs 6000 for 2 years at 9% per annum compounded annually.
Answer:
Page No 151:
Question 2:
By using the formula, find the amount and compound interest on:
Rs 10000 for 2 years at 11% per annum compounded annually.
Answer:
Page No 151:
Question 3:
By using the formula, find the amount and compound interest on:
Rs 31250 for 3 years at 8% per annum compounded annually.
Answer:
Page No 151:
Question 4:
By using the formula, find the amount and compound interest on:
Rs 10240 for 3 years at per annum compounded annually.
Answer:
Page No 151:
Question 5:
By using the formula, find the amount and compound interest on:
Rs 10240 for 3 years at per annum compounded annually.
Answer:
Page No 151:
Question 6:
By using the formula, find the amount and compound interest on:
Rs 9000 for 2 years 4 months at 10% per annum compounded annually.
Answer:
Page No 151:
Question 7:
Find the amount of Rs 8000 for 2 years compounded annually and the rates being 9% per annum during the first year and 10% per annum during the second year.
Answer:
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Question 8:
Anand obtained a loan of Rs 125000 from the Allahabad Bank for buying computers. The bank charges compound interest at 8% per annum, compounded annually. What amount wil he have to pay after 3 years to clear the debt?
Answer:
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Question 9:
Three years ago, Beeru purchased a buffalo from Surjeet for Rs 11000. What payment will discharge his debt now, the rate of interest being 10% per annum, compounded annually?
Answer:
Page No 151:
Question 10:
Shubhalaxmi took a loan of Rs 18000 from surya Finance to purchase a TV set. If the company charges compound interest at 12% per annum during the first year and per annum during the second year, how much will she have to pay after 2 years?
Answer:
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Question 11:
Neha borrowed Rs 24000 from the State Bank of India to buy a scooter. If the rate of interest be 10% per annum compounded annually, what payment will she have to make after 2 years 3 months?
Answer:
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Question 12:
Abhay borrowed Rs 16000 at per annum simple interest. On the same day, he lent it to Gurmeet at the same rate but compounded annually. What does he gain at the end of 2 years?
Answer:
Page No 151:
Question 13:
The simple interest on a sum of money for 2 years at 8% per annum is Rs 2400. What will be the compound interest on that sum at the same rate and for the same period?
Answer:
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Question 14:
The difference between the compound interest and the simple interest on a certain sum for 2 years at 6% per annum is Rs 90. Find the sum.
Answer:
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Question 15:
The difference between the compound interest and the simple interest on a certain sum for 3 years at 10% per annum is Rs 93. Find the sum.
Answer:
Page No 152:
Question 16:
A sum of money amounts to Rs 10240 in 2 years at per annum, compounded annually. Find the sum.
Answer:
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Question 17:
What sum of money will amount to Rs 21296 in 3 years at 10% per annum, compounded annually?
Answer:
Page No 152:
Question 18:
At what rate per cent per annum will Rs 4000 amount to Rs 4410 in 2 years when compounded annually?
Answer:
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Question 19:
At what rate per cent per annum will Rs 640 amount to Rs 774.40 in 2 years when compounded annually?
Answer:
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Question 20:
In how many years will Rs 1800 amount to Rs 2178 at 10% per annum when compounded annually?
Answer:
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Question 21:
In how many years will Rs 6250 amount to Rs 7290 at 8% per annum, compounded annually?
Answer:
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Question 22:
The population of a town is 125000. It is increasing at the rate of 2% per annum. What will be its population after 3 years?
Answer:
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Question 23:
Three years ago, the population of a town was 50000. If the annual increase during three successive years be at the rate of 5%, 4% and 3% respectively, what is its present population?
Answer:
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Question 24:
The population of a city was 120000 in the year 2009. During next year it increased by 6% but due to an epidemic it decreased by 5% in the following year. what is its population in the year 2011?
Answer:
Page No 152:
Question 25:
The count of bacteria in a certain experiment was increasing at the rate of 2% per hour. Find the bacteria at the end of 2 hours if the count was initially 500000.
Answer:
Page No 152:
Question 26:
The bacteria in a culture grows by 10% in the first hour, decreases by 10% in the second hour and again increases by 10% in the third hour. Find the bacteria at the end of 3 hours if the count was initially 20000.
Answer:
Page No 152:
Question 27:
A machine is purchased for Rs 625000. Its value depreciates at the rate of 8% per annum. What will be its value after 2 years?
Answer:
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Question 28:
A scooter is bought at Rs 56000. Its value depreciates at the rate of 10% per annum. What will be its value after 3 years?
Answer:
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Question 29:
A car is purchased for Rs 348000. Its value depreciates at 10% per annum during the first year and at 20% per annum during the second year. What will be its value after 2 years?
Answer:
Page No 152:
Question 30:
The value of a machine depreciates at the rate of 10% per annum. It was purchased 3 years ago. If its present value is Rs 291600, for how much was it purchased?
Answer:
Page No 154:
Question 1:
Find the amount and the compound interest on Rs 8000 for 1 year at 10% per annum, compounded half-yearly.
Answer:
Page No 154:
Question 2:
Find the amount and the compound interest on Rs 31250 for years at 8% per annum, compounded half-yearly.
Answer:
Page No 154:
Question 3:
Find the amount and the compound interest on Rs 12800 for 1 year at per annum, compounded semi-annually.
Answer:
Page No 154:
Question 4:
Find the amount and the compound interest on Rs 160000 for 2 years at 10% per annum, compounded half-yearly.
Answer:
Page No 154:
Question 5:
Swati borrowed Rs 40960 from a bank to buy a piece of land. If the bank charges per annum, compounded half-yearly, what amount will she have to pay after years? Also, find the interest paid by her.
Answer:
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Question 6:
Mohd. Aslam purchased a house from Avas Vikas Parishad on credit. If the cost of the house is Rs 125000 and the Parishad charges interest at 12% per annum compounded half-yearly, find the interest paid by Aslam after a year and a half.
Answer:
Page No 154:
Question 7:
Sheela deposited Rs 20000 in a bank, where the interest is credited half-yearly. If the rate of interest paid by the bank is 6% per annum, what amount will she get after 1 year?
Answer:
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Question 8:
Neeraj lent Rs 65536 for 2 years at per annum, compounded annually. How much more could he earn if the interest were compounded half-yearly?
Answer:
Page No 154:
Question 9:
Sudershan deposited Rs 32000 in a bank, where the interest is credited quarterly. If the rate of interest be 5% per annum, what amount will he receive after 6 months?
Answer:
Page No 154:
Question 10:
Arun took a loan of Rs 390625 from Kuber Finance. If the company charges interest at 16% per annum, compounded quarterly, what amount will discharge his debt after one year?
Answer:
Page No 154:
Question 1:
Tick (✓) the correct answer:
The compound interest on Rs 5000 at 8% per annum for 2 years, compounded annually, is
(a) Rs 800
(b) Rs 825
(c) Rs 832
(d) Rs 850
Answer:
(c) Rs. 832
Page No 154:
Question 2:
Tick (✓) the correct answer:
The compound interest on Rs 10000 at 10% per annum for 3 years, compounded annually, is
(a) Rs 1331
(b) Rs 3310
(c) Rs 3130
(d) Rs 13310
Answer:
(b) Rs. 3310
Page No 154:
Question 3:
Tick (✓) the correct answer:
The compound interest on Rs 10000 at 12% per annum for years, compounded annually, is
(a) Rs 1872
(b) Rs 1720
(c) Rs 1910.16
(d) Rs 1782
Answer:
(a) Rs 1872
Page No 155:
Question 4:
Tick (✓) the correct answer:
The compound interest on Rs 4000 at 10% per annum for 2 years 3 months, compounded annually, is
(a) Rs 916
(b) Rs 900
(c) Rs 961
(d) Rs 896
Answer:
(c) Rs 961
Page No 155:
Question 5:
Tick (✓) the correct answer:
A sum of Rs 25000 was given as loan on compound interest for 3 years compounded annually at 5% per annum during the first year, 6% per annum during the second year and 8% per annum during the third year. The compound interest is
(a) Rs 5035
(b) Rs 5051
(c) Rs 5072
(d) Rs 5150
Answer:
(b) Rs. 5051
Page No 155:
Question 6:
Tick (✓) the correct answer:
The compound interest on Rs 6250 at 8% per annum for 1 year, compounded half yearly, is
(a) Rs 500
(b) Rs 510
(c) Rs 550
(d) Rs 512.50
Answer:
(b) Rs. 510
Page No 155:
Question 7:
Tick (✓) the correct answer:
The compound interest on Rs 40000 at 6% per annum for 6 months, compounded quarterly, is
(a) Rs 1209
(b) Rs 1902
(c) Rs 1200
(d) Rs 1306
Answer:
(a) Rs.1209
Page No 155:
Question 8:
Tick (✓) the correct answer:
The present population of a town is 24000. If it increases at the rate of 5% per annum, what will be its population after 2 years?
(a) 26400
(b) 26460
(c) 24460
(d) 26640
Answer:
(b) 26460
Page No 155:
Question 9:
Tick (✓) the correct answer:
The value of a machine depreciates at the rate of 10% per annum. It was purchased 3 years ago for Rs 60000. What is the present value of the machine?
(a) Rs 53640
(b) Rs 51680
(c) Rs 43740
(d) Rs 43470
Answer:
(c) Rs. 43740
Page No 155:
Question 10:
Tick (✓) the correct answer:
The value of a machine depreciates at the rate of 20% per annum. It was purchased 2 years ago. If its present value is Rs 40000, for how much was it purchased?
(a) Rs 56000
(b) Rs 62500
(c) Rs 65200
(d) Rs 56500
Answer:
(b) Rs. 62500
Page No 155:
Question 11:
Tick (✓) the correct answer:
The annual rate of growth in population of a town is 10%. If its present population is 33275, what was it 3 years ago?
(a) 25000
(b) 27500
(c) 30000
(d) 26000
Answer:
(a) 25000
Page No 155:
Question 12:
Tick (✓) the correct answer:
If the simple interest on a sum of money at 5% per annum for 3 years is Rs 1200 then the compound interest on the same sum for the same period at the same rate will be
(a) Rs 1225
(b) Rs 1236
(c) Rs 1248
(d) Rs 1261
Answer:
(d) Rs 1261
Page No 155:
Question 13:
Tick (✓) the correct answer:
If the compound interest on a sum for 2 years at per annum is Rs 510, the simple interest on the same sum at the same rate for the same period of time is
(a) Rs 400
(b) Rs 450
(c) Rs 460
(d) Rs 480
Answer:
(d) Rs 480
Page No 155:
Question 14:
Tick (✓) the correct answer:
The sum that amounts to Rs 4913 in 3 years at per annum compounded annually, is
(a) Rs 3096
(b) Rs 4076
(c) Rs 4085
(d) Rs 4096
Answer:
(d) Rs 4096
Page No 155:
Question 15:
Tick (✓) the correct answer:
At what rate per cent per annum will a sum of Rs 7500 amount to Rs 8427 in 2 years, compounded annually?
(a) 4%
(b) 5%
(c) 6%
(d) 8%
Answer:
(c) 6%
Page No 157:
Question 1:
Find the amount and the compound interest on Rs 3000 for 2 years at 10% per annum.
Answer:
Page No 157:
Question 2:
Find the amount of Rs 10000 after 2 years compounded annually; the rate of interest being 10% per annum during the first year and 12% per annum during the second year. Also, find the compound interest.
Answer:
Page No 157:
Question 3:
Find the amount and the compound interest on Rs 6000 for 1 year at 10% per annum compounded half-yearly.
Answer:
Page No 157:
Question 4:
A sum amounts to Rs 23762 in 2 years at 9% per annum, compounded annually. Find the sum.
Answer:
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Question 5:
A scooter is bought for Rs 32000. Its value depreciates at 10% per annum. What will be its value after 2 years?
Answer:
Page No 157:
Question 6:
Mark (✓) against the correct answer:
The compound interest on Rs 5000 at 10% per annum for 2 years is
(a) Rs 550
(b) Rs 1050
(c) Rs 950
(d) Rs 825
Answer:
(b) Rs. 1050
Page No 157:
Question 7:
Mark (✓) against the correct answer:
The annual rate of growth in population of a town is 5%. If its present population is 4000, what will be its population after 2 years?
(a) 4441
(b) 4400
(c) 4410
(d) 4800
Answer:
(c) 4410
Present population =4000
Rate of growth = 5%
To find the population of the town after 2 years, we have:
Page No 157:
Question 8:
Mark (✓) against the correct answer:
At what rate per cent per annum will Rs 5000 amount to Rs 5832 in 2 years, compounded annually?
(a) 11%
(b) 10%
(c) 9%
(d) 8%
Answer:
(d) 8%
Page No 157:
Question 9:
Mark (✓) against the correct answer:
If the simple interest on a sum of money at 10% per annum for 3 years is Rs 1500, then the compound interest on the same sum at the same rate for the same period is
(a) Rs 1655
(b) Rs 1155
(c) Rs 1555
(d) Rs 1855
Answer:
(a) Rs. 1655
Page No 157:
Question 10:
Mark (✓) against the correct answer:
If the compound interest on a certain sum for 2 years at 10% per annum is Rs 1050, the sum is
(a) Rs 3000
(b) Rs 4000
(c) Rs 5000
(d) Rs 6000
Answer:
(c) Rs. 5000
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Question 11:
Fill in the blanks:
(i)
(ii) (Amount) - (Principal) = .........
(iii) If the value of a machine is Rs P and it depreciates at R% per annum, then its value after 2 years is .........
(iv) If the population P of a town increases at R% per annum, then its population after 5 years is .........
Answer:
View NCERT Solutions for all chapters of Class 8