Let us build our future with small savings (Class- 8, Experience- 4) - Active Math Class

NCTB Math Solution (English Version)

Let us build our future with small savings (Class- 8, Experience- 4)

[Exercise- Page 91]


E.4.1. Rais has deposited tk. 350000 for 3 years. If the rate of simple interest is 7%, how much interest will he get after 3 years?


Solution:

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E.4.2. Jabin has got tk. 232000 interest from the share of a business with her friend. If the rate of interest is 17% what is her capital in that business?


Solution:

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E.4.3. Shimul has received an interest of tk.175,000 after investing tk. 80000 for 2 years. What is Shimul’s rate of interest?


Solution:

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E.4.4. Jony deposited tk. 50000 in the bank. If the rate of interest is 7.5%. How many months would it require to earn an interest of tk. 300000?


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E.4.5. Not Available


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E.4.6. What is the rate of interest if principal-interest of tk.50000 in 7 years is tk.120000?


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E.4.7. An amount is doubled in 5 years’ time at a certain rate of interest per annum. In 8 years’ time the same amount at the same rate will be tk. 26000. Find the amount.


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E.4.8. In 10 years’ time the interest on tk. 2000 at the rate of 9% per annum will be equal to the interest on tk. 5000 at the rate of 8% for a certain period of time. Find the time in years.


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E.4.9. Interest on tk. 2500 in 6 years at the rate of per annum will be equal to the amount of interest on tk. 2000 in 8 years at a certain rate of interest per annum. Find the rate.


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E.4.10. Tanjila deposited tk.3000 for 5 years and Raihan deposited tk. 20000 for 7 years. If the rate of interest is 8% for both, then who will earn more interest? How much more will s/he earn?


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E.4.11. Sharif has deposited 70 thousand at 8% interest rate. Jahir gas deposited 50 thousand at 12.5 interest rate. After 6 years who will earn more interest? How much more will he earn?


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E.4.12. Calculate 5 years interest of tk. 75000 at the rate of 8% interest- 


a) What will be the simple interest? 


b) What will be the compound interest? 


c) What is the difference between simple interest and compound interest?" 


d) What is the compound interest of 4 months? 


e) What is the compound interest of 3 months?


Solution:

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E.4.13. Jubaer and Rina have deposited tk. 25000 in a bank for 6 years at 7% interest. If Jubaer gets interest at simple rate and Ria gets compound interest rate, who will earn more interest in 6 years? How much will they earn including Principal-interest?


Solution:

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E.4.14. Both Ahsan and Tahsina deposited tk. 20000 for 5 years at 11% interest rate for 5 years. If Ahsan earns interest half yearly /per 6 months and Tahsina earns compound interest quarterly/ per 4 months, then who will be more benefitted? After 5 years what will be the principal of each of them?


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E.4.15. An individual has taken a loan of tk. 50000 at the rate of monthly 11% compound interest from a Credit organization. If that person pays his loan tk. 12000 monthly then, 


a) How much loan will remain after 1 month? 


b) How much loan will remain after 2 months? 


c) How much loan will remain after 3 months?


Solution:

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E.4.16. Karim has deposited tk. 50000 for 5 years at compound interest of 9% and Mariam has deposited tk. 80000 for 5 years at compound interest of 7%. Who will earn more from the Bank, how much more will be?


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E.4.17. What is the profit or loss if Tahsina buys 8 chickens at the rate of Tk. 350 and sells them for a total of Tk. 2500? What was the capital of Tahsina?


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E.4.18. A fish farmer released fish worth Tk.5000 in his pond. He spent Tk. 60,000 on fish feed and Tk. 25,000 on fish farm workers. What is the capital of the fish farmer? If he sells his pond fish for 200000 taka, how much profit will he make?


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E.4.19. A farmer took 20 kg of rice, 5 kg of flour and 1 kg of dal from a shop in exchange of 40 kg of paddy. If the price of one kg of paddy is Tk.12, the price of one kg of rice is Tk.16, the price of one kg of flour is Tk.18 and the price of one kg of pulse is Tk.28, then how much profit or loss did the farmer make?


Solution:

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E.4.20. A fruit seller bought 120 hundred lychees for Tk.15000. 600 lychees were lost during the journey. How much rate (per hundred) will he sell the remaining lychees so that his total profit will be tk. 2000?


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E.4.21. If a bicycle is bought for Tk.5000 and sold at a profit of 12%, how much will be the total profit? What is the selling price of the bicycle?


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E.4.22. A merchant sold his goods at a loss of 5%. If he could have sold 1230 tk. more, he would have made a profit of 5%. What is the purchase price of the merchant’s goods?


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E.4.23. A manufacturer, wholesaler and retailer, all of them sell a product at a profit of 5%. What is the cost incurred if a customer buys the product from the retailer for tk.1050?


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