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Q #11
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Quants Question

How many kg of rice at Rs. 60 per kg, must be be mixed with 30 kg of rice at Rs 25 per kg, so that he may on selling the mixture at Rs 50 per kg gain 25 % on the outlay ?

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Solution : First we have to find cost price of mixture, as seller is gaining 25 % profit on mixture so its cost price will be 50=C.P of mixture *125/100=C.P of mixture=40 30/Quantity of dearer=60-40/40-25=20/15=4/3 Quantity of dearer=30*3/4=22.5Kgs

Q #12
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Quants Question

Directions: Read the following information to answer the question.

A is thrice as good a workman as B and therefore is able to finish a job in 60 days less than B. Working together, they can do it in:

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Explanation :

 Ratio of times taken by A and B = 1 : 3.

 If difference of time is 2 days, B takes 3 days.

 If difference of time is 60 days, B takes    { 3/2} x 60 = 90 days.     

 So, A takes 30 days to do the work.

 A's 1 day's work =1/30

 ; B's 1 day's work =1/90

 (A + B)'s 1 day's work =    1/30+1/90

 =4/90=    2/45

A and B together can do the work in   

45/2= 22 1/2 days.


Q #13
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Quants Question

Directions: Read the following information to answer the question.

A, B and C can complete a work separately in 24, 36 and 48 days respectively. They started together but C left after 4 days of start and A left 3 days before the completion of the work. In how many days will the work be completed?

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Explanation :

 (A + B + c)’s 1 day’s work =1/24+1/36+1/4=13/144

 Work done by (A + B +C) in 4 days ={13/144}x 4    =13/36

 Work done by B in 3 days ={1/36}x 3=1/12

. Remaining work =1 -13/36+1/12=5/9

 (A + B)’s 1 day’s work =    1/24+1/36=5/72

 Now,5/72

 work was done by A and B in{72/5}x{5/9} = 8 days.     

 Hence, total time taken = (4 + 3 + 8) days = 15 days.


Q #14
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Quants Question

Directions: Read the following information to answer the question.

Sakshi can do a piece of work in 20 days. Tanya is 25% more efficient than Sakshi. The number of days taken by Tanya to do the same piece of work is:

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Explanation :

 

Ratio of times taken by Sakshi and Tanya = 125 : 100 = 5 : 4.

 Suppose Tanya takes x days to do the work.

 5 : 4 :: 20 : x   

 x ={4 x 20}/5

 x = 16 days.    Hence, Tanya takes 16 days to complete the work


Q #15
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Quants Question

Directions: Read the following information to answer the question.

A & B start running from the common starting point in same direction a circular race of 360m at speed of 8m/s & 13m/s respectively. How many times these two racers would have met before meeting at the starting point next time?

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They will meet after every 360/(13-8) = 72 sec

They will meet at the starting point next time at 

LCM(360/8,360/13) = 360 sec

Hence they will meet 5th time at the starting point =360/72 = 5

Therefore they have met 4 times before.