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Q.
A man sells Rs.5000, 12 % stock at 156 and uinvests the proceeds parity in 8 % stock at 90 and 9 % stock at 108. He hereby increases his income by Rs. 70. How much of the proceeds were invested in each stock?
A.
4000
B.
4200
C.
4002
D.
4020
View Answer
Correct choice: B
Explanation:
S.P of Rs. 5000 stock = Rs.(156/100*5000)= Rs. 7800. Income from this stock = Rs.(12/100*5000) = Rs. 600. Let investment in 8 % stock be x and that in 9 % stock = (7800 - x). Therefore, (x*8/90)+(7800−x)*9/108=[600+70] 4x/45+7800−x/12=670⇔x=3600 Therefore, Money invested in 8 % stock at 90 = Rs. 3600. Money invested in 9 % at 108 = Rs. (7800-3600) = Rs. 4200.
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