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How much would a sum of Rs 16000 amount to is 2 years time at 10% per annum compound interest, interest being payable half-yearly?
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आपके पास में स्थित स्वास्थ्य केंद्र में टीकाकरण के कौन-से कार्यक्रम उपलब्ध हैं? आपके क्षेत्र में कौन कौन सी स्वास्थ्य संबंधी मुख्य समस्या है?
पिछले एक वर्ष में आप कितनी बार बीमार हुए? बीमारी क्या थीं? (a) इन बीमारियों को हटाने के लिए आप अपनी दिनचर्या में क्या परिवर्तन करेंगे? (b) इन बीमारियों से बचने के लिए आप अपने पास-पड़ोस में क्या परिवर्तन करना चाहेंगे?डॉक्टर/नर्स/स्वास्थ्य कर्मचारी अन्य व्यक्तियों की अपेक्षा रोगियों के संपर्क में अधिक रहते हैं। पता करो कि वे अपने-आपको बीमार होने से कैसे बनाते हैं?
अपने पास-पड़ोस में एक सर्वेक्षण कीजिए तथा पता लगाइए कि सामान्यतः कौन-सी तीन बीमारियाँ होती हैं? इन बीमारियों को फैलने से रोकने के लिए अपने स्थानीय प्रशासन को तीन सुझाव दीजिए।
एक बच्चा अपनी बीमारी के विषय में नहीं बता पा रहा है। हम कैसे पता करेंगे कि (i) बच्चा बीमार है? (ii) उसे कौन-सी बीमारी है?
निम्नलिखित किन परिस्थितियों में कोई व्यक्ति पुन: बीमार हो सकता है? क्यों? (a) जब वह मलेरिया से ठीक हो रहा है। (b) वह मलेरिया से ठीक हो चुका है और वह चेचक के रोगी की सेवा कर रहा है। (c) मलेरिया से ठीक होने के बाद चार दिन उपवास करता है और चेचक के रोगी की सेवा कर रहा है?FAQs on Compound Interest
What is compound interest
What is amount when compounded annually.
What is amount when compounded half-yearly
What is amount when compounded quarterly.
what is amount when compounded annually but time in fraction.
What is amount when rate are different for different years.
Present worth of a money when it is n years due
Difference between compound interest and simple interest over two years
Miscellaneous
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Two brothers A and B invest Rs 16000 each in buying class 10 maths CBSE
Two brothers A and B invest Rs 16000 each in buying shares of two companies A buys 3 hundredrupee shares at 80 and B buys tenrupee shares at par If they both receive equal dividend at the end of the year
Two brothers A and B invest Rs. 16,000 each in buying shares of two companies. A buys 3% hundred-rupee shares at 80 and B buys ten-rupee shares at par. If they both receive equal dividend at the end of the year, find the rate percent of the dividend received by B.
Answer Verified 163.5k+ views
Hint: We find the amount stocks bought by A asn A = I A M V A nA=IAMVA where I A IA
is the investment of A and
M V A MVA
is the market value for A. We find total nominal values
TN V A = n A ×N V A =n×100 TNVA=nA×NVA=n×100
and the dividend amount
D A = D% 100 ×TN V A DA=D%100×TNVA
. We then find the number of stocks bought by B as
n B = I B M V B nB=IBMVB
and total nominal value
TN V B = n b ×N V b = n b ×100 TNVB=nb×NVb=nb×100
. We find rate of dividend for B as
% D B = D B TN V B ×100 %DB=DBTNVB×100 using given D A = D B DA=DB .
Complete step-by-step answer:We know that the amount of money that is used to run a company is called stock capital and the stock capital is divided into small units called stocks or share. The company issues a share certificate where the value of share is written called nominal value (NV) of face value. Then the shares are sold in the open market at stock exchanges at the market value (MV). If the market value and the nominal value are the same it is called at par. The profit annually distributed among shareholders is called dividend (D) in percentage of total nominal value of purchased shares.
Let us consider the investment of brother A. He buys hundred-rupee shares at
M V A =80 MVA=80
rupees from the market spending
I A =16000 IA=16000
rupees. So the number of stocks he has bought is
n A = I A M V A = 16000 80 =200
nA=IAMVA=1600080=200
. The nominal value of each share is
N V A =100 NVA=100
rupees then the nominal value of 200 shares is
TN V A = n A ×N V A =200×100=20000
TNVA=nA×NVA=200×100=20000
rupees. His profit percentage is 3% dividend. So his profit in amount 3% of total nominal value that is
D A = 3 100 ×20000=600 DA=3100×20000=600 rupees.
Let us consider brother B. He buys ten rupees shares at par which means the nominal value and market value of the share is same and is equal to 10 rupees
(M V B =N V B =10) (MVB=NVB=10) . He also has spent I B =16000 IB=16000
rupees to buy stocks. So the number of sticks B has purchased is
n b = I B M V B = 16000 10 =1600
nb=IBMVB=1600010=1600
.The total nominal value of all 1600 shares bought by brother B is
1600×10=16000=TN V B 1600×10=16000=TNVB
rupees. We are given the question that he and A both earn the same amount of dividend which is
D B = D A =600 DB=DA=600
rupees as obtained before. So the rate of dividend is
D B TM V B ×100= 600 16000 ×100=3.75%
DBTMVB×100=60016000×100=3.75%
Note: We note that the question assumes that there is no brokerage charge which is added when the stock is sold on the selling price or bought on the cost price as percentage. If the market value is above nominal value it is called at premium or above par. If the market value is below nominal value it is called at discount or below par. We must be careful that the nominal value never changes but the market value changes from, time to time.Read More
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[Solved] Seema invested an amount of Rs 16000/
Given: Seema invested an amount of Rs 16000/- for two years at compound interest and received an amount of Rs 17640/- on maturity. Formula used: Amount = Pri
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Seema invested an amount of Rs 16000/- for two years at compound interest and received an amount of Rs 17640/- on maturity. What is the rate of interest ?
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Given:Seema invested an amount of Rs 16000/- for two years at compound interest and received an amount of Rs 17640/- on maturity.
Formula used:
Amount = Principal(1 + R/100)T
R = rate, T = time Calculation:
According to the question,
Amount = Principal(1 + R/100)T
⇒ 17640 = 16000(1 + R/100)2
⇒ 17640/16000 = (1 + R/100)2
⇒ 1 + R/100 = √(1764/1600)
⇒ 1 + R/100 = 42/40
⇒ R/100 = (42/40) – 1
⇒ R = (2/40)× 100 ⇒ R = 5%
∴ The rate of interest is 5%.Download Solution PDF
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More Compound Interest Questions
Q1. In how many years will a sum of Rs 800 at 10% per annum compounded semi-annually become Rs 926.10?Q2. Rs. 56000 is invested at the rate of 5% for 1st year, at 10% for 2nd year and at 15% for the 3rd year. Find the total compound interest earned in these 3 years.Q3. A sum becomes double in 4 years at compound interest, in how many years the sum becomes 8 times of itself.Q4. Find the sum if the compound interest for 3 years at the rate of 5% per annum is Rs. 1261Q5. Find the sum if the amount after 2 years is Rs. 1,94,481 at the rate of 10% per annum compounded half yearly.Q6. Find the sum invested in compound interest if the amount at the end of two years and three years are Rs. 14,520 and Rs. 15,972 respectively.Q7. The compound interest on a sum of money at 5% per annum for a period of 2 years is ₹ 6560. What will be the simple interest on the same sum for the same period at the same rate?Q8. A sum becomes 27 times in 3 years, compounded annually at a certain rate of interest. Calculate annual interest rate.Q9. How many more rupees will a person get as interest if she deposits Rs. 10000 for a year at 30% interest per annum compounded every four months compared to if it was compounded half-yearly?Q10. The compound interest on a certain sum of money at a certain rate of interest per annum for the third and fourth years is Rs.576 and Rs.691.20 respectively. So the annual interest rate will be:More Interest Questions
Q1. In how many years will a sum of Rs 800 at 10% per annum compounded semi-annually become Rs 926.10?Q2. If a sum becomes double in 16 years at simple interest, how many times will it be in 8 years?Q3. A sum of Rs. 18600 is given at 15% per annum at simple interest, if interest is added to sum after 2 years then find the total interest after 4 years.Q4. Rs. 56000 is invested at the rate of 5% for 1st year, at 10% for 2nd year and at 15% for the 3rd year. Find the total compound interest earned in these 3 years.Q5. A invests a sum of money in simple interest at a certain rate for 6 years and B invests the same sum of money for same time but at 2% higher rate. If the difference between the simple interests for 6 years is 360 then find the sum of money invested.Q6. A sum becomes double in 4 years at compound interest, in how many years the sum becomes 8 times of itself.Q7. Find the sum if the compound interest for 3 years at the rate of 5% per annum is Rs. 1261Q8. Aman lends a sum of money to Aman at the rate of 3% for the first 2 years, 5% for the next 3 years and 7% for next 1 year. If the total simple interest for the 6 years is Rs.840, then find the sum of money.Q9. Find the sum if the amount after 2 years is Rs. 1,94,481 at the rate of 10% per annum compounded half yearly.Q10. Find the sum invested in compound interest if the amount at the end of two years and three years are Rs. 14,520 and Rs. 15,972 respectively.अधिक देखने के लिए क्लिक करें
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