Question

Mr Narayan deep 6455 at the end of one year at the rate of 14% per annum in RD account find the monthly installment

Answer 1

Step-by-step explanation:

Given Mr Narayan gets 6455 at the end of one year at the rate of 14% per annum in RD account. Find the monthly installment  

• Let the principal P be m
• Now principal for 12 months will be = n(n + 1) / 2 m
•                                                                = 12 (12 + 1) / 2
•                                                                 = 12 x 13 / 2
•                                                                     = 78 m
• Now  Interest = P [ n(n + 1) / 2 x 1/12 x R / 100]
•                                78 m x 14 x 1 / 100 x 12  
•                                       = 0.91 m
• Now money deposited in 12 months will be 12 m
• Also maturity value will be 12 m + 0.91 m
•                                                = 12.91 m
• Now according to the question  
•                                              12.91 m = 6455
•                                             Or m = 6455 / 12.91
•                                                  Or m = Rs 500

Therefore monthly installment will be Rs 500

Reference link will be

https://brainly.in/question/4363

Answer 2

Step-by-step explanation:

M.v =6455

n=12 months

r= 14%

M.v=(p×n)+I

I= 6455-12p _(1)

I= P×12× 13/2×12 ×14/100

I=91P/100_(2)

now,

making a simultaneously equation.....

6455-12P=91P/100

645500-1200P=91P

P= 645500/1291

P=500.

hope it helps...