अर्ध वार्षिक रूप से सयोजिता 10 , 000 का 4 % वार्षिक दर से 2 वर्ष का चक्रवृद्धि ब्याज क्या है

Options

A. Rs. 636.80
B. Rs. 824.32
C. Rs. 912.86
D. Rs. 825.82

Answer

b

Explanation

(b) Pricniple = Rs. 10,000
Time = 2 years
Rate % = 4%
When the interest is compounded half-yearly (‌ह‌िंदी) ` = 2 xx 2 =4`
Rate ( दर) `= (4)/(2)%= 2%`
By using formula
Amount (मिश्रधन) `= 10000 xx(1+ (2)/(100))^(4)`
Amount `= 10000 xx (51)/(50) xx (51)/(50) xx (51)/(50)xx (51)/(50)`
Amount = Rs. 10824. 32
Compound intreset = Amount - Principle
CI= Rs. (10824.32 - 10000) = 824.32
Alternate
CI for 2 years (2 ‌वर्ष का चक्रवृद्धि ब्याज) `= 2 +2+(2xx2)/(100)=4.04%`
CI for 4 years (‌4 वर्ष का चक्रवृद्धि ब्याज ) `= 4.04 + 4.04 + (4.04 xx 4.04)/(100) = 8.08 + 0.1632 = 8.2432%`
According to the question
( प्रशानुसार)
CI `= 10000 xx(8.2432)/(100) = 824.32`