14. Kamala borrowed from Ratan a certain sum at a certain rate for two years since
At the end of two years she received Rs 210 as compound interest, but paid Rs 20
interest. She lent this sum at the same rate to Hari for two years compound interest
being compounded half-yearly?
only as simple interest. Find the sum and the rate of interest.
nt to Rs 2315 25 in an years
Answers
Answer:
hi...here is your answer
Step-by-step explanation:
Given,
C.I that Kamla receive = Rs.210
S.I that Kamla paid = Rs.200
Time = 2 years
So,
S.I =
Also,
C.I. = Total amount - Principal amount
C.I =
210 =
we know,
(a + b)2 = a2 + b2 + 2ab
R = 10%
From equation (i)
P × R = 10000
Answer:
Step-by-step explanation:
Given details are,
C.I that Kamala receives = Rs 210
S.I that Kamala paid = Rs 200
Time = 2 years
So,
We know, SI = PTR/100
= P×2×R/100
P×R = 10000 ………….. Equation 1
CI = A – P
CI = P [(1 + R/100)n – 1]
210 = P [(1 + R/100)2 – 1]
210 = P (12 + R2/1002 + 2(1)(R/100) – 1) (by using the formula (a+b)2)
210 = P (1 + R2/10000 + R/50 – 1)
210 = P (R2/10000 + R/50)
210 = PR2/10000 + PR/50
We know PR = 10000 from Equation 1
210 = 10000R/10000 + 10000/50
210 = R + 200
R = 210 – 200
= 10%
In Equation 1, PR = 10000
P = 10000/R
= 10000/10
= 1000
∴ Required sum is Rs 1000