PROBLEMS ON RATIO AND PROPORTION:
An amount of Rs. 8,400 is distributed among A,
Band C in the ratio of 1:2:4. The difference between the shares of A and C is?
1) Rs 4800 2)
Rs 2400 3) Rs 1,200 4) Rs. 3,600 5)
None of these
SOLUTION:Here we have to understand the problem first
"An amount of Rs. 8,400 is distributed among A, Band C in the ratio of 1:2:4."
Explanation:If we distribute the 8400 in any other ratio like 1:1:1 or 1:2:3,that 8400 should be equal to the sum of ratios.what i would like to say is what ever the ratio it is ,the total parts of ratio automatically equal to the amount,here that is 8400
There fore 1+2+4=7------------8400
The difference between the shares of A and C is 4-1=3
Total parts 7 we have to find 3 parts(diff of A,C)
if 7 parts are 8400 then 3 parts are equal to ?
7----8400
3-----?
we can do the above calculation in 2 ways
first method:By observing the relation between the numbers:
We have to search the relation between numbers in 2 ways
If we find the relation between 7 and 8400,we have to apply the same relation to 3 as below
The relation between 7 and 8400 is 1200 so apply the relation for 3
7*1200=8400
3*1200=3600
Second method: Common sense method
7----8400
3-----?
first we have to place the number which is above ? and then think about remaining two numbers 3 and 7,like
8400*___,which number is numerator or denominator,then apply common
sense
here 7 parts are equal to 8400 then we have to think "whether 3
parts are lesser or greater than 8400,definitely lesser is our answer.so
8400* lesser number/greater number as below
8400*3/7=3600 is our answer.
Advice: If u know the relation between the numbers well,apply first method otherwise apply second method.first method is quite fast than second
for applying first method we have to observe "whether the problem follows direct proportion or inverse proportion".
First method will work for directly proportion type problems only not for inverse proportion problems.For example
example:IF 10 men can do work in 20 days in how many days 20 men can complete the same work?
10---20
20---?
If we use first method with out observing,wrong answer will come
10*2---20
15*2---30 it means if 10 men can do work in 20 days,15 can do it in 30 days,which is meaning less
so here we have to apply common sense method
place the number which is above ? that is 20 then think for numerator and
denominator
if 10 men can do work in 20 days ,generally 20 men can do the work in lesser time
there fore 20*10/20=10 days
An amount
of Rs. 7,200 is distributed among P,Q and R in the ratio of 2:7:3. The share of
Q exceeds the share of P by?
1) Rs. 2,000 2)
Rs. 3,000 3) Rs 1,500 4) Rs. 2,800 5) None of these
solution:Try yourself
Hint:The share of Q exceeds the share of P means diff between Q and P
Ans:2 that is 3000
An amount is distributed among P, Q and R in the
ratio of 2:3:8. The difference between the shares of P and R is 2,400. What is
the share of Q?
1) Rs. 1200 2)
Rs.1800 3) Rs.1600 4) Rs. 2,400 5) None
of these
solution:Try yourself
An amount is distributed among A, Band C in the
ratio of 3:11:7. The share of B exceeds the share of C by Rs. 3,200. What is
the share of A?
1) Rs. 4,200 2)
Rs 2,400 3) Rs. 3,200 4) Rs. 4,800 5) None of these
solution:Try yourself
Posts
