Mohan salary was first increased by 20% then decreased by 20% if its present salary 7200 then what was his original salary
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Answered by
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Heya mate!!
Let his original salary be x
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Answered by
3
His original salary was 7500 unit.
Explanation:
Let, Mohan's original salary be, 'n'.
20% of n = (n × 20/100)
= n/5
∴ When his salary had increased by 20% then it had become_
(n+n/5)
= (5n+n)/5 [∵ The L.C.M. is 5.]
= 6n/5
20% of 6n/5 = (6n/5) × (20/100)
= 6n/25
∴ When his salary was reduced by 20% then it had become_
(6n/5) - (6n/25)
= (30n - 6n)/25 [∵ The L.C.M. is 25]
= 24n/25
∴ His present salary is 24n/25
So, according to the problem_
24n/25 = 7200
⇒ 24n = (7200×25)
⇒ n = (180000/24)
⇒ n = 7500 unit.
∴ His original salary was 7500 unit.
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