A vessel has only two types of oil A and B in the ratio of 9 : 7 respectively. When 25 liters of oil is added to the vessel then quantity of oil A becomes 75% of that of oil B. What is the capacity of vessel if it becomes full after addition of 25 liters oil ?
120 lt
105 lt
100 lt
130 lt
80 lt
Option B Let quantity of oil in vessel A and B = 9x and 7x 9x = (7x + 25) 75/100 36x = 21x + 75 15x = 75 x = 5 capacity of vessel = 9x + 7x + 25 = 105 liters
The ratio of present age of A and B is 6 : 5 and the present age of C is 5 years less than B. After 6 years the age of A is two times the present age of C. If the present age D is 8 years more than B, then find the present age of D ?
26 years
30 years
28 years
23 years
32 years
Option C Let the present age of A and B = 6x and 5x respectively. present age of C = 5x – 5 ATQ, 6x + 6 = (5x – 5) * 2 6x + 6 = 10x – 10 x = 4 present age of D = 5x + 8 = 28 years
P and Q together can complete a work in 24 days and Q and R together can complete the same work in 30 days. P and R together work for 15 days and after 15 days P and R left the work remaining work done by done B. If the efficiency ratio of P and Q is 2 : 3, then find in how many days total work will be completed ?
28 days
60 days
40 days
38 days
25 days
Option C LCM of 24 and 30 = 120 total work = 120 efficiency of P and Q = 120/24 = 5 efficiency of Q and R = 120/30 = 4 efficiency of P = 5 * 2/5 = 2 efficiency of Q = 5 – 2 = 3 efficiency of R = 4 – 3 = 1 P and R together work for 15 days = ( 2 + 3) * 15 = 45 work remaining work = 120 – 45 = 75 days required by B to complete remaining work = 75/3 = 25 days total days = 15 + 25 = 40 days
A and B entered into a partnership business by investing rs.12000 and rs.14000 respectively. After x months C joined then by investing rs. 8000 and B left the business. If profit earned by C at the end of year is rs. 800 out of total profit rs.7200, then find for how many months did C invest his money ?
8 months
4 months
2 months
7 months
6 months
Option B Profit sharing ratio = (12000 * 12) : (14000 * x) : (8000 * 12 – x) = 144 : 14x : 96 – 8x 96 – 8x/144 + 14x = 1/8 144 + 14x = 768 – 64x 78x = 624 x = 8 C invest his money for 12 – 8 = 4 months
Rohit calculates his profit percentage on SP while Sumeet calculate his profit percentage on CP. They find that the difference between their profit is rs.280. If SP of both are same and both get 20% profit, then find CP of Rohit ?
12400
14000
15000
10800
12000
Option D Let SP of both Rohit and Sumeet = rs.100x profit of Rohit = 100x * 20/100 = 20x CP of Rohit = 80x CP of Sumeet = 100x/120 * 100 = 500x/6 Rohit of Sumeet = 100x – 500/6 = 50x/3 20x – 50x/3 = 450 x = 135 CP of Rohit = 135 * 80 = 10800
Directions : What will come in place of questions (?) marks in the following questions given below ? (you are not calculate exact value) 49.96% of 1740 + 28% of 1200 – √1764.05 + 120 = ?
