Rs. 9800 are invested partly in 9% stock at 75 and 10% stock at 80 to have equal amount of incomes. The investment in 9% stock is how much price? Choices
A) 2500
B) 2800
C) 3000
D) 5000
E) 4500
Assume that face value of both stocks are Rs.100 as it is not given.   Hence, dividend per share in 1st case is Rs.9   and dividend per share in 2nd case is Rs.10   Let investment in 9% stock = Rs.x   and investment in 10% stock = Rs.(9800-x)   Market value of a 9% stock= Rs.75   Number of 9% stocks he can purchase with Rs.x = x/75   Total dividend from 9% stocks = (x×9)/75   Market value of a 10% stock = Rs.80   Number of 10% stocks he can purchase with Rs.(9800-x) = (9800-x)/80   Total dividend from 10% stocks = (9800−x)×10/80   incomes fom both of the investments is same   (x×9)/75=(9800−x)×10/80   (x×3)/25=(9800−x)/8   24x=25×9800−25x   49x=25×9800   x=(25×9800)/49=25×200=5000   Answer is D.   ie, investment in 9% stock = Rs.5000
<result>D</result>
Rs. 9800 are invested partly in 9% stock at 75 and 10% stock at 80 to have equal amount of incomes. The investment in 9% stock is how much price?