Let the total profit be Rs. z. Then,
B's share = Rs. 2z/3, A's share = Rs. ( z - 2z/3 ) = Rs. z/3.
A : B = z/3 : 2z/3 = 1:2
Let the total capital be Rs, X and suppose B's money was used for x months. Then.
(1(x) / 4 * 15) / (3x) / 4 * y) = 1/2 <=> y = (15 * 2 / 3) = 10 .
Thus, B's money was used for 10 months.
Cost of Rs. 100 stock = Rs. (100-15)
Cost of Rs. 6400 stock = = Rs. 5440.
Income from Rs. 100 stock = Rs. 8.
Income from Rs. 2500 stock = = Rs. 200.
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
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