Rajesh invested Rs. 2500 each in two Schemes A and B for years and 2 years respectively. Scheme A offers 20% p.a. simple interest while scheme ‘B’ offers _____% p.a. compound interest, compounded annually. The difference between the amounts received from the two schemes is Rs. ______The values are given in which of the following options will fill the blanks in the same order in which it is given to make the
Statement true:
I. 6, 12, 2364
II. 8, 15, 3193.75
III. 5, 20, 1800
A. Only I
B. Only I and III
C. All I, II and III
D. Only I and II
E. Only II
Sol:
Amount received from scheme ‘A = (2500 x 20 x
6)/100 +2500 = Rs. 5500
Amount received from scheme ‘B’ = 2500(1
+12/100)2 = Rs. 3136
The required difference =5500 – 3136 = Rs.
2364
Therefore, the statement I is true.
For statement II:
Amount received from scheme ‘A = (2500 x 20 x
8)/100 +2500 = Rs. 6500
Amount received from scheme ‘B’ = 2500(1
+15/100)2 = Rs. 3306.25
The required difference = 6500 – 3306.25 = Rs.
3193.75
Therefore, statement II is true.
For statement III:
Amount received from scheme ‘A = (2500 x 20 x
5)/100 +2500 = Rs. 5000
Amount received from scheme ‘B’ = 2500(1
+20/100)2 = Rs. 3600
The required difference = 5000 – 3600 = Rs.
1400
Therefore, statement III is false.
