Income from Rs. 100 stock = Rs. 8.
Income from Rs. 2500 stock = = Rs. 200.
Cost of Rs. 100 stock = Rs. (100-15)
Cost of Rs. 6400 stock = = Rs. 5440.
For an income of Rs. 8, investment = Rs. 100.
For an income of Rs. 6, investment = = Rs. 75.
Market value of Rs. 100 stock = Rs. 75.
Investment = Rs. [20 x (50 - 5)] = Rs. 900.
Face value = Rs. (50 x 20) = Rs. 1000.
Dividend =
Interest obtained = % = 15%
Cash realised = Rs. (106.25 - 0.25) = Rs. 106.
Cost of Rs. 100 stock = Rs. (100+4) = Rs.104
Cost of Rs. 4500 stock = = Rs. 4680
By investing Rs. 136, income obtained = Rs. 10.
By investing Rs. 6800, income obtained = = Rs. 500.
Total distance travelled in 12 hours =(35+37+39+.....upto 12 terms)
This is an A.P with first term, a=35, number of terms,
n= 12,d=2.
Required distance = 12/2[2 x 35+{12-1) x 2]
=6(70+23)
= 552 kms.
Speed = = 2 m/sec = 2 x (18/5) km/hr = 7.2 km/hr
Relative speed of the thief and policeman = (11 ? 10) km/hr = 1 km/hr
Distance covered in 6 minutes = (1/60) x 6 km = 1/10 km = 100 m
Therefore, Distance between the thief and policeman = (200 ? 100) m = 100 m.
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