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Class 10 SELINA Solutions Maths Chapter 2 - Banking (Recurring Deposit Accounts)

Students often have issues while computing the lengthy questions of Banking. This is a crucial topic inICSE Class 10 Math as you get a strong base in this area which is helpful for further studies and lifelong applications. Understanding the importance of recurring deposit accounts in mathematical finance is essential. Students are introduced to the concepts of banking, saving, and interest calculations.

For ICSE students who use Math Book by Selina, the Selina Solutions is a guiding light for every chapter, includingBanking– Recurring Deposit Accounts.

Key Concepts Covered

  • Explanation of Recurring Deposit Accounts: Learning about the recurring type of deposits basics, their purpose, and how different they are from other account types.
  • Interest Calculation: Knowing the formulas and steps of calculation of interest rates on recurring deposits and also about the interest rates.
  • Maturity Amount Calculation: Understand the formulae and step-by-step method required to calculate the maturity amount of a recurring deposit.
  • Knowing Factors Affecting Maturity Amount: Learn how the maturity amount is affected by variables such as deposit amount, tenure, and interest rates.
  • Real-life Applications: Discover practical situations where familiarity with recurring deposit accounts is crucial, such as financial management and attaining savings objectives.

Why Choose Selina Solutions?

You get your trusted companion in Selina Solutions while working on the chapter on Banking– Recurring Deposit Accounts. Let us give you some compelling reasons that will advocate your choosing Selina Solution as your trusted resource:

  • Complete Solutions: You can fully understand each idea by using the step-by-step solutions to all the questions and problems included in the chapter.
  • Simple and Direct Explanations: Simple explanations that divide difficult ideas into more manageable pieces.
  • Exercise and Planning: An array of practice problems and exercises to solidify your comprehension and get you ready for tests.
  • Pictorial aids: Pictures and diagrams to help those who learn best visually understand abstract mathematical concepts.

A solid understanding of the chapter is ensured when studying with Selina Solutions. Other options include using sample papers to practise, viewingvideo lessons on important concepts, rehearsingMCQs, and browsing through other study materials.

Banking (Recurring Deposit Accounts) Exercise Ex. 2(A)

Solution 1

Installment per month(P) = Rs. 600

Number of months(n) = 20

Rate of interest (r) = 10% p.a.

The amount that Manish will get at the time of maturity

=Rs (600 x 20)+ Rs 1,050

=Rs 12,000+ Rs 1,050

= Rs 13,050 Ans.

Solution 2

Installment per month(P) = Rs 640

Number of months(n) = 4.5 × 12 = 54

Rate of interest(r)= 12% p.a.

The amount that Manish will get at the time of maturity

=Rs (640 x 54)+ Rs 9,504

=Rs 34,560+ Rs 9,504

= Rs 44,064 

Solution 3

For A

Installment per month(P) = Rs 1,200

Number of months(n) = 3 × 12 = 36

Rate of interest(r)= 10% p.a.

The amount that A will get at the time of maturity

=Rs (1,200 x 36)+ Rs 6,660

=Rs 43,200+ Rs 6,660

= Rs 49,860

For B

Installment per month(P) = Rs 1,500

Number of months(n) = 2.5 × 12 = 30

Rate of interest(r)= 10% p.a.

The amount that B will get at the time of maturity

=Rs(1,500 x 30)+ Rs 5,812.50

=Rs 45,000+ Rs 5,812.50

= Rs 50,812.50

Difference between both amounts= Rs 50,812.50 - Rs 49,860

= Rs 952.50

 

Then B will get more money than A by Rs 952.50 Ans.

Solution 4

Let Installment per month(P) = Rs y

Number of months(n) = 12

Rate of interest(r)= 11%p.a.

Maturity value= Rs (y x 12) + Rs 0.715 y = Rs 12.715 y

Given maturity value= Rs 12,715

Then Rs 12.715 y = Rs 12,715

Ans.

Solution 5

Let Installment per month(P) = Rs y

Number of months(n) = 3.5 × 12 = 42

Rate of interest(r) = 12% p.a.

Maturity value= Rs(y x 42) + Rs 9.03y = Rs 51.03y

Given maturity value = Rs 10,206

 

Then Rs 51.03y = Rs 10206

Ans.

Solution 6

(a)

Installment per month(P) = Rs 140

Number of months(n) = 4 × 12 = 48

Let rate of interest(r)= r %p.a.

Maturity value= Rs (140 x 48) + Rs (137.20)r

Given maturity value= Rs 8,092

Then Rs(140 x 48)+Rs (137.20)r = Rs 8,092

137.20r = Rs 8,092 - Rs 6,720

r =

(b)

Installment per month(P) = Rs 300

Number of months(n) = 4 × 12 = 24

Let rate of interest(r)= r %p.a.

Maturity value= Rs (300 x 24)+Rs(75)r

Given maturity value = Rs 7,725

 

Then Rs(300 x 24) + Rs(75)r = Rs 7,725

75 r = Rs 7,725 - Rs 7,200

r =

Solution 7

Installment per month(P) = Rs 150

Number of months(n) = 8

Rate of interest(r)= 8% p.a.

The amount that Manish will get at the time of maturity

=Rs (150 x 8)+ Rs 36

=Rs 1,200+ Rs 36

= Rs 1,236 Ans.

Solution 8

Installment per month(P) = Rs 350

Number of months(n) = 12 + 3 = 15

Let rate of interest(r)= r %p.a.

Maturity value= Rs (350 x 15) + Rs (35)r

Given maturity value= Rs 5,565

Then Rs (350 x 15) + Rs (35)r = Rs 5,565

35r = Rs 5,565 - Rs 5,250

r =

Solution 9

Installment per month(P) = Rs 1,200

Number of months(n) = n

Let rate of interest(r)= 8 %p.a.

Maturity value= Rs (1,200 x n) + Rs 4n (n + 1)= Rs (1200n + 4n+ 4n)

Given maturity value= Rs 12,440

Then 1200n + 4n+ 4n = 12,440

Then number of months = 10 Ans.

Solution 10

Installment per month(P) = Rs 300

Number of months(n) = n

Let rate of interest(r)= 12 %p.a.

Maturity value= Rs (300 x n) + Rs 1.5n(n + 1)

= Rs (300n + 1.5n+ 1.5n)

Given maturity value = Rs 8,100

Then 300n + 1.5n+ 1.5n = 8,100

Then time = 2 years

Solution 11

(i)

Maturity value = Rs 67,500

Money deposited = Rs 2,500 x 24 = Rs 60,000

Then total interest earned = Rs 67,500 - Rs 60,000 = Rs 7,500 Ans.

(ii)

Installment per month(P) = Rs 2,500

Number of months(n) = 24

Let rate of interest(r)= r %p.a.

Then 625 r = 7500

Banking (Recurring Deposit Accounts) Exercise Ex. 2(B)

Solution 1

Installment per month(P) = Rs 600

Number of months(n) = 4 × 12 = 48

Rate of interest(r)= 8%p.a.

 

 

The amount that Manish will get at the time of maturity

=Rs (600 x 48)+ Rs 4,704

=Rs 28,800+ Rs 4,704

= Rs 33,504 Ans.

 

Solution 2

Installment per month(P) = Rs 80

Number of months(n) = 18

Let rate of interest(r)= r % p.a.

 

 

Maturity value= Rs (80 x 18) + Rs (11.4r)

Given maturity value= Rs 1,554

Then Rs (80 x 18)+Rs (11.4r) = Rs 1,554

 11.4r = Rs 1,554 - Rs 1,440

 

 

Solution 3

Installment per month(P) = Rs 400

Number of months(n) = n

Let rate of interest(r)= 8 %p.a.

 

Maturity value= Rs (400 x n)+

Given maturity value= Rs 16,176

Then Rs (400 x n)+ = Rs 16,176

 1200n + 4n+ 4n = Rs 48,528

 4n+ 1204n = Rs 48,528

 n+ 301n - 12132 = 0

 (n + 337)(n - 36)=0

 n = -337 or n = 36

Then number of months = 36 months = 3 years Ans.

 

Solution 4

Let installment per month = Rs P

Number of months(n) = 2 × 12 = 24

Rate of interest = 8%p.a.

 

Maturity value= Rs (P x 24) + Rs 2P = Rs 26P

Given maturity value = Rs 30,000

 

Solution 5

Let the monthly instalment be P

Interest = Rs. 8,325

Rate of interest = 7.5%

Time = 3 years = 36 months

Solution 6

Installment per month(P) = Rs 900

Number of months(n) = 48

Let rate of interest(r) = r %p.a.

Maturity value= Rs (900 x 48) + Rs (882)r

Given maturity value = Rs 52,020

Then Rs (900 x 48) + Rs(882)r = Rs 52,020

 882r = Rs 52,020 - Rs 43,200

 r =

 

 

Solution 7

Installment per month(P) = Rs 1,800

Number of months(n) = 4 × 12 = 48

Let rate of interest(r)= r %p.a.

 

Maturity value= Rs (1,800 x 48) + Rs(1,764)r

Given maturity value= Rs 1,08,450

Then Rs (1,800 x 48) + Rs(1764)r = Rs 1,08,450

 1764r = Rs 1,08,450 - Rs 86,400

 

 r =

 

Solution 8

Let the value of the monthly installment be Rs. P.

 

 

 

Thus, the value of his monthly installment is Rs. 200.

 

Solution 9

Solution 10

Solution 11

Interest, I = Rs. 1,200

Time, n = 2 years = 2 × 12 = 24 months

Rate, r = 6%

(i) To find: Monthly installment, P

Now,

So, the monthly installment is Rs. 800.

 

(ii) Total sum deposited = P × n = Rs. 800 × 24 = Rs. 19,200

Amount of maturity = Total sum deposited + Interest on it

= Rs. (19,200 + 1,200)

= Rs. 20,400

 

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