Mr. Dileep sarkar has a rectangular housing plot in Hakimpara, Jalpaiguri. The area and the perimeter of his plot are 525 sq.m. and 100 metres respectively. What is the ratio of length to breadth of this rectangular plot owned by Mr. Dileep Sarkar?
Answer: d) 7:3
Let the length of the rectangular plot be x
Let the breadth of the rectangular plot be y
Then area of the rectangular plot = length x breadth= xy
Perimeter of the rectangular plot=2(x+y)
X Yis given as 525 sq.m
Therefore (x+y)= 50m…..(1)
Solving (1)and (2) x+y-x+y=50-20=30
So y=15m and x=35m
Anna river is one of the rivers in Michigan district, USA, Mr. Black sails his boat at 25km per hour in still water. The speed of Anna river stream is 5km per hour. Mr. Black takes 2.5 hours to go upstream than going the same distance downstream. (from P to Q). How far is Q from P?
Answer: b) 150km
Let the distance from P to Q be x km
It takes 2.5 hours more to travel upstream than downstream from p to Q and return.
Upward speed of the boat will b=25-5=20 km/hour
Downward speed of the boat will be=25+5=30 km/hour
Sureshkumar, Govindasamy, raachandran take a contract work for Rs. 4465 lakhs. Sureshkumar and Ramachandran take up 12/19 of the work and complete it by themselves. The bill was submitted by them to the authorities and they suggested separate payment for
govindasamy may be made for the work done by hem. How much will paid to Givindasamy?
d)Rs. 1645 lakhs
Answer: d) 1645 lakhs
Sureshkumar and Ramachandran perform 12/19 of the work contracted.
So part of work done by Govindasamy= 1-12/19=7/19
Total contract for the work=Rs. 4465 lakhs
Govindasamy is to be paid for 7/19 of work=4465*7/19=Rs. 1645 lakhs.
Pramod Khanna and Akshay Bachchan can do a work in 40 and 25 days respectively. They began the work together, but Pramod Khanna left after some days and akshay Bachchan finished the remaining work in 12 days. After how many days did Pramod Khanna leave?
Answer: a) 8 days.
Pramod Khanna and Akhy Bachchan can do the work in 40 days and 25 days respectively.
Pramod Khanna will do in one day-1/40 of the work
Akshay Bachchan will do in one day-1/25 of the work
If they work together they will do in one day-(1/40+1/25)of the work =13/200 of the work,
Akshay Bachchan has completed the work in 12 days after Pramod Khanna leaving the work in the middle.
Akshay Bachchan can do in one day-1/25 of the work
So in 12 days he would have 1/25*12=12/25 of the work
So work completed by Pramod Khanna and akshaya Bachchan together is 1-12/25=13/25
These two can do in one day 13/200 of the work
They have completed together 13/25 of the work
So number of days they worked together-13/25 divided by 13/200=13/25*200/13=8 days.
Ashudeep started a stationery shop in Big Bazzar, Madurai, He bought 80 pencils for Rs. 200. How many pencils must be sld for Rs. 100 in order to get 25% profit?
Ashudeep purchases 80 pencil for Rs. 200.
So cost of one pencil=Rs. 2.50
In order to earn 25% profit each pencil should be sold at 2.50*1.25
So for Rs. 100 he should sell=(100)/2.50*1.25= 32 pencils.