Question

the compound interest on a principal of Rs2000 at the rate of P% in the same period, in which Rs5000 becomes
Rs 10000 at the rate of 50% simple interest, is Rs420. Find the value of P.
a. 8%
b. 9%
d. 15%
c. 10%​

Answer 1

Step-by-step explanation:

Find the principal if the interest compounded at the rate of 10% per annum for two years is Rs. 420 ?

A) Rs. 2000

B) Rs. 2100

C) Rs. 1900

D) Rs. 2150

Answer: A) Rs. 2000

Explanation:

Given,

Compound rate, R = 10% per annum

Time = 2 years

C.I = Rs. 420

Let P be the required principal.

A = (P+C.I)

Amount, A = P(1 + (r100))n

(P+C.I) = P[1 + (10100)]2

(P+420) = P[11/10][11/10]

P-1.21P = -420

0.21P = 420

Hence, P = 420/0.21 = Rs. 2000

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