The total population of a town is 2800 where number of males is 720 more than that of females. If the number of males reduces by 40% and that of females increases by 20%, then find the new population of town.
The total population of a town is 2800 where number of males is 720 more than that of females. If the number of males reduces by 40% and that of females increases by 20%, then find the new population of town. Correct Answer 2304
Given:
Total population of a town = 2800
Number of males = 720 + Number of females
Calculation:
Let the number of females and males be x and (x + 720) respectively
According to the question,
x + x + 720 = 2800
⇒ 2x + 720 = 2800
⇒ 2x = 2080
⇒ x = 1040
Number of males = (1040 + 720) = 1760
Now, New number of males after 40% reduction = 1760 × 60%
⇒ 1056
New number of females after 20% increment = 1040 × 120%
⇒ 1248
New population of town = (1056 + 1248)
⇒ 2304
∴ New population of town is 2304
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Feb 20, 2025