A man spends 2/5 of his salary on house rent, 3/10 of his salary on food and 1/8 of his salary on conveyance. If he has rs.1400 left with him, find his expenditure on food.
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Answer:
His expenditure on food was rs.2400
Step-by-step explanation:
Let s be his full salary.
The amount spent is then
(2/5)s + (3/10)s + (1/8)s
= ( 2/5 + 3/10 + 1/8 ) s
= ( 0.4 + 0.3 + 0.125 ) s
= 0.825 s
The amount left is then
( 1 - 0.825 s ) = 0.175 s = 1400
=> s = 1400 / 0.175 = 8000
So his full salary was rs.8000.
His expenditure on food was 3/10 × rs.8000 = rs.2400
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