Ratio, Proportion - Question A Day - CAT 2008
June 03, 2002 � Rs.432 is divided amongst three
workers A, B and C such that 8 times A�s share is equal to 12 times B�s share
which is equal to 6 times C�s share. How much did A get?
Solution �
June 07, 2002 � If 20 men or 24 women or 40 boys can do a job in 12 days
working for 8 hours a day, how many men working with 6 women and 2 boys take to
do a job four times as big working for 5 hours a day for 12 days?
Solution �
July 11, 2002 � Two cogged wheels of which one has 32 cogs and other 54
cogs, work into each other. If the latter turns 80 times in three quarters of a
minute, how often does the other turn in 8 seconds?
Solution �
February 04, 2003 � The monthly incomes of A and B are in the ratio 4 :
5, their expenses are in the ratio 5 : 6. If 'A' saves Rs.25 per month and 'B'
saves Rs.50 per month, what are their respective incomes?
Solution �
February 17, 2003 � The proportion of milk and water in 3 samples is
2:1, 3:2 and 5:3. A mixture comprising of equal quantities of all 3 samples is
made. The proportion of milk and water in the mixture is
Solution �
March 26, 2003 � A group of workers can do a piece of work in 24 days.
However as 7 of them were absent it took 30 days to complete the work. How many
people actually worked on the job to complete it?
Solution �
March 31, 2003 � A, B and C play cricket. A's runs are to B's runs and
B's runs are to C's as 3:2. They get altogether 342 runs. How many runs did A
make?
Solution �
Arpil 16, 2003 � The monthly salaries of two persons are in the ratio of
4:7. If each receives an increase of Rs.25 in the salary, the ratio is altered
to 3: 5. Find their respective salaries.
Solution �
May 16, 2003 � A fort has provisions for 60 days. If after 15 days 500
men strengthen them and the food lasts 40 days longer, how many men are there in
the fort?
Solution �
May 26, 2003 � The ratio of marks obtained by vinod and Basu is 6:5. If
the combined average of their percentage is 68.75 and their sum of the marks is
275, find the total marks for which exam was conducted.
Solution �
October 22, 2003 � The present ages of A and B are as 6 : 4. Five years
ago their ages were in the ratio 5 : 3. Find their present ages.
Solution �
November 11, 2003 � A, B and C enter into a partnership by investing
Rs.3600, Rs.4400 and Rs.2800. A is a working partner and gets a fourth of the
profit for his services and the remaining profit is divided amongst the three in
the rate of their investments. What is the amount of profit that B gets if A
gets a total of Rs. 8000?
Solution �
March 18, 2004 � A, B and C, each of them working alone can complete a
job in 6, 8 and 12 days respectively. If all three of them work together to
complete a job and earn Rs.2340, what ill be C�s share of the earnings?
Solution �
