Mixed Quantitative Aptitude Questions Set 194

1. A shopkeeper gets a discount of 20% on an article and sells it at 10% profit.Profit percent if discount given is 60%
   107.5%
   127.5%
   147.5%
   143.5%
   117.5%
   Option C
   % profit = (100+10) [(100-10)/(100-60)] – 100 = 590/4 = 147.5%
   
    



2. Time taken by a train to cross a platform of length 60 km given that it crosses a pole in two and a half hours running at 60 km/hr
   2hrs
   2.5hrs
   3hrs
   1.5hrs
   3.5hrs
   Option E
   length of train = 2.5 * 60 = 150 km
   So time taken to cross platform of length 60 km with speed 60 km/hr
   = (150+60)/60 = 3.5hrs
   
   
    



3. Age of M five years ago if 6 years hence ratio of age of M to N will be 14: 11, and 1 year ago the ratio was 7: 5.
   12
   14
   15
   17
   19
   Option D
   (M+6)/(N+6) = 14/11
   And (M-1)/(N-1) = 7/5
   Solve the equations, M = 22, so 5 years ago = 22 – 5 = 17 years
   
   
    



4. Time taken by P to complete 1/5th of work if Q takes 6 days to complete 3/5th of work and together they take 5 days to complete 3/4th of work
   2
   3
   4
   5
   6
   Option C
   P and Q completes 3/4th work in 5 days, so complete 1 work in 4/3 * 5 = 20/3 days
   Q complete 3/5 work in 6 days, so complete work in 5/3 * 6 = 10 days
   So in 1 day P completes = 3/20 – 1/10 = 1/20
   So to complete 1/5th work = 1/5 * 20 = 4 days
   
   
    



5. Average age of 2 students included in a group of 5 students with average age 18 years given that addition of these 2 students in group makes average increase by 1.
   21.5 years
   20years
   8.5 years
   21 years
   11.5 years
   Option A
   Total age of 2 students added to group = 18*2 + 7*1 = 43
   So their average age = 43/2 = 21.5 years
   
   
    



6. What is the profit percent earned selling a product for Rs.30000, if the amount of profit earned on selling the product was Rs.10000?
   40
   50
   60
   70
   80
   Option B
   S.P = Rs.30000, C.P = 30000 – 10000 = Rs.20000
   
   Profit % = (S.P – C.P)/C.P * 100 = 1/20000 * (30000 – 20000) * 100 = 50%
   
   
   
    



7. If the selling price of the Sofa was twice the cost price, then what is the profit percent earned while selling that sofa for Rs.2000?
   110
   100
   90
   80
   70
   Option B
   C.P = S.P/2 = 2000/2 = Rs.1000
   
   Profit % = (S.P – C.P)/C.P * 100 = 1/1000 * (2000 – 1000) * 100 = 100%
   
   
   
    



8. Salaries of Ragu and Vaishu are in the ratio 2: 5. If the salary of each is increased by Rs.2000, the new ratio becomes 4: 9. What is Vaishu’s salary?
   45000
   35000
   25000
   15000
   5000
   Option C
   (2x + 2000)/ (5x + 2000) = 4/9
   
   => x = 5000
   
   R’s salary = Rs.10000 and V’s salary = Rs.25000
   
   
   
    



9. Find Cost price of a product when S.P is Rs.33 and profit is 10%?
   20
   30
   40
   50
   60
   Option B
   C.P = 100 * S.P/ (100 + Gain %)
   
   = 100 * 33/ (100 + 10) = Rs.30
   
   
   
    



10. Find Selling price of the product is when C.P is Rs.40 and loss is 25%?
    30
    50
    70
    90
    55
    Option A
    S.P = (100 – Loss %) / 100 * C.P
    
    = (100 – 25)/100 * 40 = Rs.30