Given below are two statements Statement I: - The product of all the digits on the dial of a telephone is 15840. Statement II:- At 10% interest rate, Rs. 10000 will become Rs. 13310 in 3 years, when interest is compounded annually. In light of the above statements, choose the correct answer from the options given below
Given below are two statements Statement I: - The product of all the digits on the dial of a telephone is 15840. Statement II:- At 10% interest rate, Rs. 10000 will become Rs. 13310 in 3 years, when interest is compounded annually. In light of the above statements, choose the correct answer from the options given below Correct Answer Statement I is false but Statement II is true
Given:
There are two statements given in the question.
Formula used:
For compound interest, A = P (1 + r/100)n
Where, A = Total amount
P = Principal amount
r = rate of interest
n = time (in years)
Calculation:
The product of all the digits on the dial of a telephone = 0 × 1 × 2 × 3 × 4 × 5 × 6 × 7 × 8 × 9 = 0
Then, the product of all the digits on the dial of a telephone is not 15840.
Hence, the statement I is false.
Now, Total amount (A) = Rs. 10000
Rate of interest (r) = 10%
Time (n) = 3 years
Total amount = 10000 (1 + 10/100)3
= 10000 × (11/10)3
= 10000 × 11/10 × 11/10 × 11/10
= 13310
Then, at a 10% interest rate, Rs. 10000 will become Rs. 13310 in 3 years, when interest is compounded annually.
Hence, the statement II is true.
Therefore, Statement I is false but Statement II is true.