Two line charts are given below. Line chart 1 shows the ratio of number of males to the number of females in two companies A and B for the 5 years. Line chart 2 shows the total number of males (both companies A and B) and total number of females (both companies A and B) for the 5 years.
What is the ratio of number of males of company B in Y1 to the total number of females of company A in Y3 and Y5?
नीचे दो लाइन चार्ट दिए गए हैं। लाइन चार्ट 1, 5 वर्षों के लिए दो कंपनियों A और B में पुरुषों की संख्या का महिलाओं की संख्या से अनुपात दर्शाता है। लाइन चार्ट 2, 5 वर्षों के लिए पुरुषों की कुल संख्या (कंपनियां A और B दोनों) और महिलाओं की कुल संख्या (कंपनियां A और B दोनों) को दर्शाता है।
Y1 में कंपनी B के पुरुषों की संख्या का Y3 और Y5 में कंपनी A की महिलाओं की कुल संख्या से अनुपात कितना है?
119 : 218
119 : 218
117 : 218
117 : 218
129 : 215
129 : 215
117 : 215
117 : 215
Correct Answer:
117 : 215
117 : 215
With the help of the line chart - 1
In Y1 the ratio of the number of males to the number of females in company A = 1.1
= =
In Y1 the ratio of the number of males to the number of females in company B = 0.9
= =
With the help of the line chart - 2
Total number of males in Y1 = Y1(MA + MB) = 11x + 9y = 21100
Total number of males in Y1 = Y1(FA + FB) = 10x + 10y = 20600
x + y = 2060 or 11x + 11y = 22660
2y = 22660 - 21100 = 1560 or y = 780
number of males of company B in Y1 = 9y = 7020
Now we will follow the same process for the calculation of the total number of females of company A in Y3 and Y5
For total number of females of company A in Y3 :-
4a + 27b = 18025 and 5a + 20b = 16000
135a - 80a = 55a = 432000 - 360500 = 71500
5a = 6500
number of females of company A in Y3 = 5a = 6500
For total number of females of company A in Y5 :-
7p + 17q = 13550 and 5p + 20q = 11800
140p - 85p = 55p = 271000 - 200600 = 70400
5p = 6400
number of females of company A in Y5 = 5p = 6400
total number of females of company A in Y3 and Y5 = 6500 + 6400 = 12900
Now ratio 7020 : 12900 or 117 : 215
With the help of the line chart - 1
In Y1 the ratio of the number of males to the number of females in company A = 1.1
= =
In Y1 the ratio of the number of males to the number of females in company B = 0.9
= =
With the help of the line chart - 2
Total number of males in Y1 = Y1(MA + MB) = 11x + 9y = 21100
Total number of males in Y1 = Y1(FA + FB) = 10x + 10y = 20600
x + y = 2060 or 11x + 11y = 22660
2y = 22660 - 21100 = 1560 or y = 780
number of males of company B in Y1 = 9y = 7020
Now we will follow the same process for the calculation of the total number of females of company A in Y3 and Y5
For total number of females of company A in Y3 :-
4a + 27b = 18025 and 5a + 20b = 16000
135a - 80a = 55a = 432000 - 360500 = 71500
5a = 6500
number of females of company A in Y3 = 5a = 6500
For total number of females of company A in Y5 :-
7p + 17q = 13550 and 5p + 20q = 11800
140p - 85p = 55p = 271000 - 200600 = 70400
5p = 6400
number of females of company A in Y5 = 5p = 6400
total number of females of company A in Y3 and Y5 = 6500 + 6400 = 12900
Now ratio 7020 : 12900 or 117 : 215