In a particular month, Lakshmi spent one-fifth of her salary on shopping, One-fifth of the remaining she gave to her sister. If she has Rs 12800 left, what was her salary in that month?
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Answer:
Rs 20,000
Step-by-step explanation:
Let, Lakshmi's salary be Rs x
Lakshmi Spent One-Fifth of her salary at shopping
i.e. (1/5)x
Let her remaining salary(4/5)x be Rs y,
She spent One-Fifth of her remaining salary to her sister
i.e. (1/5)y
Laksmi had Rs. 12800 left
i.e. (4/5)y = 12800
y = (12800*5)/4
y = 16000 .........................(1)
Now,
When Lakshmi spent (1/5)x at shopping she had
(4/5)x left = y
(4/5)x = 16000 (From Eq. 1)
x = (16000*5)/4
x = Rs20,000
Hence, Lakshmi's salary in that particular month was Rs 20,000
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