A. 3, -3/2
B. 3/2, -3
C. -3/2, -3
D. 3/2, 3
Explanation:
2×2 + 6x – 3x – 9 = 0
2x(x + 3) – 3(x + 3) = 0
(x + 3)(2x – 3) = 0
=> x = -3 or x = 3/2.
A. Rs. 400
B. Rs. 440
C. Rs. 500
D. Rs. 550
Explanation:
Let the C.P. be Rs. x. Then, 20% of x = 1100
20/100 * x = 1100 => x = 5500
C.P. = Rs. 5500, expenditure on repairs = 10%
Actual price = Rs. (100 * 5500)/110 = Rs. 5000
Expenditures on repairs = (5500 – 5000) = Rs. 500.
A. Rs. 385
B. Rs. 390
C. Rs. 395
D. Rs. 400
Explanation:
: C.P = Rs. X
425 – X = X – 355 (or )
2X = 780 or X= 390
A. Rs.2250
B. Rs.2000
C. Rs.2150
D. Rs.2200
A. 16 : 5
B. 14 : 5
C. 16 : 7
D. 19 : 5
E. None of these
Explanation:
Quantity of alcohol in vessel P = 62.5/100 * 2 = 5/4 litres
Quantity of alcohol in vessel Q = 87.5/100 * 4 = 7/2 litres
Quantity of alcohol in the mixture formed = 5/4 + 7/2 = 19/4 = 4.75 litres
As 6 litres of mixture is formed, ratio of alcohol and water in the mixture formed = 4.75 : 1.25 = 19 : 5.
A. Rs. 1,10,000
B. Rs. 1,20,000
C. Rs. 1,24,000
D. Rs. 1,21,000
E. None of these
Explanation:
The value of the machine after two years = 0.8 * 0.8 * 1,50,000 = Rs. 96,000
SP such that a profit of Rs. 24,000 is made = 96,000 + 24,000 = Rs. 1,20,000
A. 12
B. 18
C. 24
D. 32