Yak Unproblematic & Chemical Compound Involvement Problems Alongside Shortcuts

SIMPLE INTEREST AND COMPOUND INTEREST

The coin borrowed or lent out for a sure enough menstruum is called the principal or the sum.

Simple Interest

When a essence of coin is borrowed for a period, an extra amount has to endure paid along amongst the borrowed money. The fixed charge per unit of measurement of the extra amount is called interest.

The interests are of 2 types : Simple Interest and Compound Interest.

Simple involvement is the involvement pa-id at the halt of the period. Or if the involvement on a essence borrowed for sure enough menstruum is reckoned uniformly, as well as then it is called uncomplicated interest.

Let Principal = P, Rate = R% per annum (p.a.) as well as Time = T years.


Then

Compound Interest

Compound involvement is involvement that is paid on both the master copy as well as likewise on whatever involvement from past times years. It's frequently used when somebody reinvests whatever involvement they gained dorsum into the original investment. For example, if a homo got 15% involvement on Rs.1000 investment, the outset yr as well as he reinvested the coin dorsum into the original investment, as well as then inwards the minute year, he would larn 15% involvement on Rs.1000 as well as the Rs.150 he reinvested. Over time, chemical compound involvement volition brand much to a greater extent than coin than uncomplicated interest.

Important Formulae :

Let Principal = P, Rate of Interest = R% as well as Time = T years

Important Values (Shortcut Table) :

Some to a greater extent than of import formulae :

1. To notice chemical compound involvement for 2 years, when uncomplicated involvement is given :

Compound Interest = Total uncomplicated involvement + (Simple involvement for i yr x Rate of Interest)

2. If the departure betwixt the chemical compound involvement as well as uncomplicated involvement on a sure enough essence of coin for 2 years at R% per annum charge per unit of measurement is Rs.'D', then

3. If the departure betwixt the chemical compound involvement as well as uncomplicated involvement on a sure enough essence of coin for 2 years at R% per annum charge per unit of measurement is Rs. 'D',

4. If the departure betwixt the chemical compound involvement as well as uncomplicated involvement on a sure enough essence of coin for three years at R% per annum charge per unit of measurement is Rs. 'D', then 

5. If the departure betwixt the chemical compound involvement as well as uncomplicated involvement on a sure enough essence of coin for three years at R% per annum charge per unit of measurement is Rs.'D', as well as then

PRACTICE QUESTIONS

1. What volition endure the chemical compound involvement on a essence of Rs.7200 at 5% p.a. inwards 2 years ?
1. Rs.841
2. Rs.738
3. Rs.793
4. Rs.812
5. Rs.694
2. What volition endure the chemical compound involvement on a essence of Rs.7500 at 4% per annum inwards 2 years ? (SBI 2012)
1. Rs.618
2. Rs.612
3. Rs.624
4. Rs.606
5. Rs.621
3. In how many years volition Rs.4600 amount to Rs.5428 at 3% per annum uncomplicated involvement ?
1. 3
2. 5
3. 6
4. 4
5. None of these
4. How much volition a essence of Rs.7250 amount inwards a bridge of 2 years, at 6% per annum charge per unit of measurement of chemical compound interest? (Rounded off to the nearest integer) (SBI 2012)
1. Rs.8176
2. Rs.8146
3. Rs.8216
4. Rs.8190
5. Rs.8196
5. At what charge per unit of measurement of uncomplicated involvement volition Rs.4200 amount to Rs.6216 inwards a bridge of 8 years? (SBI 2011)
1. 5
2. 3
3. 6
4. 4
5. None of these
6. At what charge per unit of measurement of uncomplicated involvement volition Rs.4800 amount to Rs.6480 inwards a bridge of vii years ?
1. 5
2. 6
3. 3
4. 4
5. None of these
7. How much volition a essence of Rs.6300 amount inwards a bridge of 2 years, at 5% per annum charge per unit of measurement of chemical compound involvement (Rounded off to the nearest interest) ?
1. Rs.6946
2. Rs.6876
3. Rs.6521
4. Rs.6790
5. Rs.6492
8. The departure betwixt the C.I. as well as S.I. on a sure enough amount at 10% per annum for 2 years, compounded annually is Rs.372. Find the principal.
1. Rs.37,200
2. Rs.30,000
3. Rs.36,600
4. Rs.32,440
5. None of these
9. The departure betwixt uncomplicated as well as chemical compound interests compounded annually on a sure enough essence of coin for 2 years at 4% per annum is Rs.l. Find the principal.
1. Rs.600
2. Rs.625
3. Rs.630
4. Rs.640
5. Rs.664
10. Find the chemical compound involvement on Rs.64,000 at 5% per annum for xviii months, compounded one-half yearly ?
1. Rs.2,000
2. Rs.3671
3. Rs.4231
4. Rs.4921
5. None of these
11. A homo gets a uncomplicated involvement of Rs.1,000 on a sure enough master copy at the charge per unit of measurement of 5% per annum inwards 4 years. What chemical compound involvement volition the homo larn on twice the master copy inwards 2 years at the same rate? (Punjab & Sind Bank PO - 2010)
1. Rs.1,000
2. Rs.1,005
3. Rs.11,025
4. Rs.10,125
5. None of these
12. The uncomplicated involvement accrued on an amount of Rs.22,500 at the halt of iv years is Rs.10,800. What would endure the chemical compound involvement accrued on the same amount at the same charge per unit of measurement of involvement at the halt of 2 years ? (IBPS 2011)
1. Rs.16,908
2. Rs.5,724
3. Rs.28,224
4. Rs.8,586
5. None of these

Solutions :

1. Sol: P = Rs.7200, R = 5%, T = 2 years

2. Sol : 

P = Rs.7500, R = 4%, T = 2 years

3. Sol : 

P = Rs.4600, Influenza A virus subtype H5N1 = Rs.5428

SI = 5428 - 4600 = Rs.828,

R = 3%,

T = ?

T = (100xSI) / PR = (100x828) / (4600 x 3) = half dozen years


Ans: 3

4. Sol : 

P = Rs.7250, R = 6% p.a., T = 2 years

5. Sol :

P = Rs.4200,  Influenza A virus subtype H5N1 = Rs.6216, T = 8 years

S.I. = Influenza A virus subtype H5N1 - P = 6216 - 4200 = 2016


R =  (100 x SI) / PT

= (100x2016) / (4200 x 8) = 6% pa

Ans: 3

6. Sol : 

P = Rs.4800, Influenza A virus subtype H5N1 = Rs.6480, T = vii years

S.I. = 6480 - 4800 = Rs.1680

R = (100 x SI) / PT

= (100 x 1680) / (4800 x 7) = 5%

Ans: 1

7. Sol :

P = Rs.6300, T = 2 years, R = 5%

8. Sol :

The essence (P) =

Ans : 1


9. Sol :

The essence (P) =

10. Sol :

P = Rs.64,000, T = xviii months

11. Sol :

12. Sol :

Ans: 2

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