Data Interpretation - Table Charts - Discussion

Discussion Forum : Table Charts - Table Chart 9 (Q.No. 4)
Directions to Solve

The following table gives the percentage distribution of population of five states, P, Q, R, S and T on the basis of poverty line and also on the basis of sex.

State Percentage of Population below the Poverty Line Proportion of Males and Females
Below Poverty Line Above Poverty Line
M : F M : F
P355 : 66 : 7
Q253 : 54 : 5
R241 : 22 : 3
S193 : 24 : 3
T155 : 33 : 2


4.
If the population of males below poverty line for State Q is 2.4 million and that for State T is 6 million, then the total populations of States Q and T are in the ratio?
1:3
2:5
3:7
4:9
Answer: Option
Explanation:

For State Q:

Male population below poverty line = 2.4 million.

Let the female population below poverty line be x million.

Then, 3 : 5 = 2.4 : x     =>     x = 5 x 2.4 = 4.
3

Therefore Total population below poverty line = (2.4 + 4) = 6.4 million.

If Nq be the total population of State Q, then,

25% of Nq = 6.4 million     =>     Nq = ( 6.4 x 100 ) million = 25.6 million.
25

For State T:

Male population below poverty line = 6 million.

Let the female population below poverty line be y million.

Then, 5 : 3 = 6 : y     =>     y = 3 x 6 = 3.6.
5

Therefore Total population below poverty line = (6 + 3.6) = 9.6 million.

If Nt be the total population of State T, then,

15% of Nt = 9.6 million     =>     Nt = ( 9.6 x 100 ) million = 64 million.
15

Thus, Required ratio = Nq = 25.6 = 0.4 = 2 .
Nt 64 5

Discussion:
8 comments Page 1 of 1.

Subham banerjee said:   3 years ago
2.4/6,
24/60,
4/10,
2/5,
= 2 : 5.
(4)

Bala said:   7 years ago
Here, we have to calculate the population above the poverty line and then add the population below and above the poverty line. So, Total population = (total population of the above poverty line) + (total population of below poverty line).

Sashi said:   7 years ago
x/y = 24 * 5 * 15/(60 * 3 * 25) = 2/5.

Shivi said:   1 decade ago
Q: 3/8*25%*x = 2.4.
x = 2.4*8*100/3*25.

T: 5/8*15/100*y = 6.
y = 6*8*100/5*15.

x:y = 2:5.

(common terms can be easily cancelled).

Sabitha reddy said:   1 decade ago
Q=X; T=Y;

25%*X*3/8 = 2.4;
X = 25.6;

15%*Y*5/8 = 6;

Y = 64;

Therefore x:y = 25.6:6.00; 2:5.
(1)

Chaitanya said:   1 decade ago
Males below poverty line in state Q = (25*3/8)x1 = 2.4(given) --- Equation 1.
Males below poverty line in state T = (15*5/8)x2 = 6 (given) --- Equation 2.

Equation 1 / equation 2 = x1/x2 = 24/60 = 2/5.

Whyte said:   1 decade ago
From where Nt value found????

N what about Saheli Das logic?


please explain

SAHELI DAS said:   1 decade ago
For Q,
25%*3/8 = 2.4
100% = 2.4*(8/3)* (100/25)
= 25.6

For T,
15%*5/8 = 6
100% = 6 *(8/5)* (100/15)
= 64

Q:T= 25.6/64 = 0.4 = 4/10 = 2/5

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