किसी निश्चित धनराशि पर अर्धवार्षिक रूप से देय 1 वर्ष का चक्रवृद्धि ब्याज तथा 1 वर्ष का साधरण ब्याज का अंतर 180 रुपए है | यदि दोनों ही परिस्थितियो मे ब्याज दर 10 % हो तो वह धनराशि है |

Options

A. Rs.60,00
B. Rs.72, 000
C. Rs.62,000
D. Rs.54,000

Answer

b

Explanation

(b) Rate% = 10%, time = 1 years
Case (I) : When interest is calculated yearly , Rate% = 10%
Case : (II): when interset is calculated half yearly.
`rArr` New Rate % `= (10)/(2)= 5%`
Time `= 1 xx 2 = 2 years`
`rArr` Effective Rate% `= 5 + 5 = (5+5)/(100)`
`= 10 .25%`
Difference in Rates = (10.25- 10)% = 0.25%
According to the question 0.25% of sum =Rs. 180
`Sum = (180)/(0.25) xx 100 = Rs. 72,000`