Sharad invested equal amounts in 2 schemes A and B at the same rate of interest. Scheme A offers S.I while scheme B offers compound interest. After 2 years he got Rs.2000 from scheme A as interest and Rs.2250 from scheme B. If the rate of interest is increased by 4%. What will be the total interest after two years from both schemes?
1). Rs. 2320.4
2). Rs. 5000
3). Rs. 4976.4
4). Rs. 4000
Difference between S.I. and C.I. for 2 years = 2250 - 2000 = 250
S.I. for 1 year = 2000/2 = 1000
∴ r = (250/1000) × 100
= 25% per annum
Now, S.I.(25%) = 1000
P(100%) = 1000/25× 100 = 4000
When rate is increased by 4% then new S.I = 4000 × 29 × 2/100 = 2320
Rate of C.I. for 2 years = 29 + 29 + (29 × 29)/100
= 58 + 8.41
= 66.41%
∴ C.I. = 4000 × $(\frac{{66.41}}{{100}})$ = 2656.4
So total interest = 2320 + 2656.4 = Rs. 4976.4