Question

1. In a company, the salaries of the manager and the workers are in the ratio 2:3. If the salary of both is increased by rs.4000, the new ratio for their salaries becomes 40:57. What is the salary of the worker?
A. Rs.38000
B. Rs.33000
C. Rs.35000
D. Rs.39000
2. A mixture of liquids contains alcohol and water in the ratio of 3:2. If 6 liters of water is added to the mixture, the ratio becomes 3:4, what is the quantity of alcohol in the mixture?
A. 8 ltrs
B. 9 ltrs
C. 12 ltrs
D. 6 ltrs
3. If an employee walks at 2/3 of his usual speed, he gets late to the office by 15 mins. What time does he usually take to reach the office?
A. 10 min
B. 30 min
C. 35 min
D. 25 min

Answer 1

Question No. 1
Ans to Q1 is option A.  38000

i.e 
Manager : Worker 
2 S : 3S

Increased on both sides by 4000

2s+ 4000 : 3s +4000  =  40 : 57

Cross multiply the ratios 
we get   3x = 34000

present salary of worker is 3x + 4000 i.e  Rs. 38000

In similar manner 
Answer to Q2 is option B

Answer to Q 3 is option B

Answer 2

1.  Let salaries of  managers = 2 N
     let salaries of workers be = 3 N
     New salaries of managers = 2 N + 4, 000
     New salaries of workers = 3 N + 4, 000

         Ratio = (2N+4000) / (3N+4000) = 40 : 57
      by cross multiplying,        57(2N+4000) = 40(3N+4000)
             114 N - 120N = 160 000 - 228 000
                     6 N = 68 000
                           N = 34 000 / 3
   Previous salaries of workers:  3 N = 34,000.
    New salaries of workers  = 3 N + 4,000 = 38, 000
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   Let the volume of alcohol in the mixture be  3 V  litres
   let the volume of water in the mixture be 2 V.  Now  6 litres of water are added.
       new ratio:   (3 V) : (2 V + 6) = 3 : 4
     cross multiplying denominator and numerators: 
                         12 V = 6 V + 18
                     V = 3 litres
       Alcohol = 18 litres
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       let the usual speed be = V
       let the distance be = S
       usual time to reach office = S / V
               S / (2/3 V)  =  S/V + 15
               3/2 * S/V  = S/V + 15
               S/V = 30 minutes