A banker lends Rs. 2,000 at simple interest to a customer. The rate of interest for the first year is x%, for the second year it is (x + 2)%, for the third year it is (x + 4)% and so on. At the end of the fifth year, if the total simple interest accrued is Rs. 1500, find the value of x.?
.
.
Why 5 is not multiplied in PRT/100 ??
Answers
Step-by-step explanation:
Given :-
A banker lends Rs. 2,000 at simple interest to a customer. The rate of interest for the first year is x%, for the second year it is (x + 2)%, for the third year it is (x + 4)% and so on. At the end of the fifth year, the total simple interest accrued is Rs. 1500.
To find :-
Find the value of x.?
Solution :-
Lending money = Rs.2000
The rate of interests = x% , (x+2)% , (x+4)%
and so on .
So we have ,
The rate of interest for the first year = x%
The rate of interest for the second year
= (x+2)%
The rate of interest for the third year
= (x+4)%
The rate of interest for the fourth year
= (x+6)%
The rate of interest for the fifth year
= (x+8)%
Principle = Rs. 2000
Rate of interest = x%
We know that
Simple Interest = PTR/100
=> SI = (2000×1×x)/100
=> SI = 20x
Simple Interest for the first year = Rs. 20X
Rate of interest for the second year
= (x+2)%
=> SI = (2000×1×(x+2))/100
=> SI = 20(x+2)
=> SI = 20x+40
Simple Interest for the second year
= Rs. 20X+40
Rate of interest for the third year = (x+4)%
=> SI = (2000×1×(x+4))/100
=> SI = 20(x+4)
=> SI = 20x+80
Simple Interest for the third year
= Rs. 20X+80
Rate of interest for the fourth year
= (x+6)%
=> SI = (2000×1×(x+6))/100
=> SI = 20(x+6)
=> SI = 20x+120
Simple Interest for the fourth year
= Rs. 20X+120
Rate of interest for the fifth year = (x+8)%
=> SI = (2000×1×(x+8))/100
=> SI = 20(x+8)
=> SI = 20x+160
Simple Interest for the fifth year
= Rs. 20X+160
Total Simple Interest for five years= 20x+20x+40+20x+80+20x+120+20x+160
=> (20x+20x+20x+20x+20x) + (40+80+120+160)
= 100x+400
According to the given problem
The total Interest at the end of 5th year
= Rs. 1500
=> 100x+400 = 1500
=> 100x = 1500-400
=> 100x = 1100
=> x = 1100/100
=> x = 11
Answer:-
The value of x for the given problem is 11
Used formulae:-
→ Simple Interest = PTR/100
- P = Principle
- T = Time
- R = Rate of Interest
Step-by-step explanation:
hope it helps you please mark me brainlist
