Before a battle the ratio of tanks to planes in an army was 5 3 During the war 1000 tanks were destr...........

Quantitative Aptitude (CGL) Ratio, Proportion

Before a battle the ratio of tanks to planes in an army was 5 : 3. During the war 1000 tanks were destroyed and 800 planes were destroyed. The ratio of tanks to planes became 2 : 1. What is the number of tanks after the war.

2000

1000

3000

4000

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Explanation:

after war, tanks left are 2000
Step-by-step explanation:
at start, the ratio of tanks to planes is 5:3 and after 1000 tanks and 800 planes were destroyed, the ratio became 2:1.
let the number of tanks and planes before war be 5x and 3x respectively and the number of tanks and planes after war be 2y and y respectively according to their ratios.
from the question, the following two equations can be formed,
5x - 2y = 1000 (tanks destroyed in war)
3x - y = 800 (planed destroyed in war)
solving the above two equations by multiplying the second equation by 2, or by substitution, we get
x = 600 and y = 1000.
after the war 2y tanks are left, this means that 2×1000= 2000 tanks are left