* Simple interest S.I=P*R*T/100 ,
where p=Principal(The amount deposited to bank).
* r is the rate of interest on Principal ,
t is the time period.
* Now about compound interest
* Amount=p(1+R/100)|N ,
N is the no. of year.
* amount=p(1+r1/100)(1+r2/100)(1+r3/100),
where r1,r2,r3 are different rates.
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* sales tax,vat(value added tax) is amount to be paid to govt.
by consumer on a purchase of particular product.
* Sales tax,vat(value added tax) is some Fixed percentage of
market price of a particular product. |
* Shares,Dividened,Nominal value,face value,
rate of interest on share and market value.
* Face Value is the fixed value issued by the company.
* Nominal Value=Face value*no of shares.
* No. of Shares = Investment/Market value.
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* Dividened : Company share it's profit or loss(some fixed percentage
decided by the company) to share holder.
* Dividend=(dividened%)*nominal value.
* Rate of interest on share is market value at the date of
Purchase to market value of the share at present time.
* (Dividened%)*Face value = (x%)*Market value ,
where x=rate of interest on share percentage yield
* Sale proceeds is the amount obtained by the sale of shares.
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compound interest is a geometric progression where in
it produces wherein it progression wherein it progresses
as a sequence of numbers where each term after the first
is found by multiplying the previous
one by a constant no.s.For eg: the sequence 4,12,36,108,...
is a geometric progression with common ratio3.
examples of geometric sequence are powers pn
of a fixed number p,such as 2n and 3n.the
general form of a geometric sequence.
are powers 2p,2p2 similarly a formulae for calculating
value after compounding interest is as follows:
maturity amount after year1 =p+(P*r)
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Math of inflation-inflation (excluding asset price inflation)
is there in the system due
to gap in supply of goods/services n supply of money
as we know with money we buy goods/services for our needs so which means money chases goods.
so if the RBI(central bank) which has authority to print money,
decides to increase the supply< br> of money,decides to
increase the supply of goods services
in the system has increased only by for e.g 10% then
inflation in the system would be 15% -10%=5%
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EMI includes two com[ponents,one component is capital
repayment of loan(principal amount) and other component is interest expense.
so as the time passes the capital portion is gradually repaid n
as a result interest cost on reduced loan outstanding ia also keep gettin reduced
Therefore EMI is always constant
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For mathmatically curious minded,here is the exact EMI formula that
can be used for calculating EMI amount for any given values of
principal,interest rate n loan period:
EMI=(P*R/12)*{(1=r/12)^N-1],
where p=(principal(loan amount);
R=Annual interest rate;n= no.of monthly instalments.
That is the EMI maths
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Easy level:
1.Akash eats two burgers and one cold drink costs Rs.300 excluding Vat.Vat is charged
8% ,how much Akash pays for bill.
2.Shalini bought one frock for her daughter with tag price Rs.350.Sales tax was 10%.
How much Shalini pays for frock.
3.Ramesh bought one shirt having market price Rs.1000 which has 8% sales price, 5% vat .
Find the amount he pays for the shirt.
4.Suresh deposits Rs.4560 to bank for 5 years,the rate is 10%.Find the simple interest.
5.Akash bought one T.V market price for Rs.16000 which has 8% sales tax.Find the costs he pays for
T.V.
6.Sohail pays Rs.5600 for a table including sales price.If the sale price is 9% of market price,find the market price
of table.
7.Suresh pays the resturant Rs.890 including VAT,the bill was 780 excluding VAT.Find the Vat %.
8.Akash pays Rs.16900 including Sales tax.The M. p of mobile was 15000.Find the Sales tax % of mobile.
9.Suresh pays Rs.7500 for furniture including sale tax 0f 4%.Find the marked price without sales tax.
10.Akash pays Rs.777 for Noodles n manchurian including Vat 8%.Find the bill without Vat.
Middle level:
1.Mahesh bought one t.v having marked price Rs.45,890 .8% of which has Sales tax of marked price,Vat is deducted as
3% of marked price.Find the cost he pays for t.v.
2.Suresh purchased set of furnitures having cost Rs.56790 including 8% of Sales tax in market price,10% of Vat in market price.Find the m
3.Find the C.P of a book when shopkeeper sells it at Rs.550 including 8% of sales tax in it and profit Rs.50
4.Find the difference between S.I and C.I when the principal is Rs.4560 , rate is 8.5%,time is 1 year.
5.Find the profit of a person on a shirt which cost price is Rs.567 and sells at Rs.1000 including 5.5% of
Sales tax in selling price .
6.Find the cost price of a toy which was sold at Rs.5678 including 4% Of sales tax,2% of Vat and making 12% of profit.
7.The cost price of a toy is Rs.5670,it was sold at 5890 including 10% of sales tax,4% of Vat.Find the profit or loss made on this toy.
8.Find the profit or loss % made by a shopkeeper for wholesale curtains which he purchased at Rs.456789 and sold at Rs.560000 including 5%
of VAT.
9.Find the addition of S.I and C.I on principal Rs.5670,rate is 7% and time is 1 year.
10.Find the cost price when profit made on a particular product is Rs 567 and sold at Rs.6789 including 5% of Vat.
HARD LEVEL
1.Find the difference between compound interest and S.I time for three years,rate is 5%,Principal is 9567.
2.Find the amount of deposit on bank is Rs.789000 at the rate of 8% for three years.
3.Find the amount of money deposited on bank when after 5 years at the rate 9%,amount recieved is 678900.
4.ABCL company declares a dividened of 12% on shares of Rs.80 ,The rate of interest on share is 10% find
the market value of the share.
5.Suresh purrchased 5,00 shares of face value Rs.10 at Rs.20 per share.After one year company declares dividened
of 12%.Calculate the amount of money invested by him.
6.Mohan bought Rs.100(F.V) shares at Rs.150, he invested Rs.45000.Find his annual income if dividened is 12%.
7.Calculate the amount recieveable on maturity of a recurring deposit of Rs.5600 every six month for 5 years
at 11% per annum.
8.Rakesh bought 3,200 shares of XYZ company of Rs.45.He sold at the cost Rs.100.XYZ declares 8.5% dividend,
rate of interest on share is 20%.How much Rakesh made profit with this account.
9.Suresh deposits Rs.50,000 for 5 years.The rate of interest is 8.5% of bank.How much money Suresh will
recieve after 5 years.
10.Akash purchased 2000 shares of Rs.56 at Rs.90 ,he sold at Rs.100 after one year find the rate of interest
annualy on shares .Find the dividened percent declared by company.Find the amount of money Akash earned.
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