In how many years will Rs. 500 get Rs. 105 compound interest at 10% per annum compound interest?
WBBSE
Class X
Mathematics
Compound Interest
02 Mark
2024
Principal (P) = 500,
Rate (R) = 10%
Amount (A) = Principal + Compound Interest
= 500 + 105 = 605.
Formula: A = P(1 + R)ⁿ.
⇒ 605 = 500(1 + 10\over100)ⁿ.
⇒ (110\over100)ⁿ = 605\over500
⇒ (11\over10)ⁿ = 121\over100
⇒ (11\over10)ⁿ = (11\over10)2
when bases are same power are equal
n = 2 years.
Related Questions
More WBBSE Easy level questions
1/12
Q.
The sum of Principal and Compound interest in certain time is called ___.
A.
Amount Explanation: In compound interest, Amount = Principal + Compound Interest. So,...
Q.
If the rate of simple interest and compound interest are both 10% per annum, then...
A.
(b) 10 : 11 Explanation: Simple interest for one year = P...
Q.
State True or False: In the compound interest if the rate of interest in the...
A.
True Explanation In the compound interest if the rate of interest in...
Q.
What will be the compound interest and simple interest for one year at the fixed...
A.
For time = 1 year (same rate, same principal): Simple interest =...
Q.
Calculate the difference between compound interest and simple interest on Rs. 20,000 for 2 years...
A.
Principal (P) = ₹ 20,000 Rate (r) = 5% p.a. Time (t)...
Q.
State True or False: The relation between principal and amount is Principal < Amount.
A.
True Explanation: Amount = Principal + Interest. Since Interest > 0, Principal...
Q.
The annual rate of compound interest is r% and if the first year principal is...
A.
P(1 + ) Explanation: After one year, amount = Principal × (1...
Q.
At present the population of a village is P and if rate of increase of...
A.
(a) P (1 + )n
Q.
Aman has taken a loan of Rs. 25,000 for 3 years, in such a way...
A.
Principal (P) = ₹ 25,000 Rate (r) = 4%, 5% and 6%...
Q.
The present population is 13,310. If the population be 17,280 after 3 years, what will...
A.
Future population (V) = 17,280 Initial population (Vo) = 13,310 rate (r)...
Q.
Divide ₹ 21,866 into two parts such that the amount of the first part for...
A.
Let the first part be ₹ x and the second part be...
Q.
The number of smokers is decreasing at the rate of 6 \frac{1}{4} % per year...
A.
Amount (A) = ₹ 22500 Principal = P Rate (r) = 6...