Compound A was prepared by the oxidation of compound B with alkaline `KMnO_(4)`. Compound A on reduction with lithium aluminium hydride gets converted back to compound B. When compound A is heated with compound B in the presence of `H_(2)SO_(4)`, it produces fruity smell of compound C. To which family, the compounds A, B and C belongs to?

Explanation

`undersetunderset("Alcohol")("(B)")(RCH_(2)OH)underset([O])overset("Alkaline "KMnO_(4))rarrundersetunderset("Carboxylic acid")("(A)")( COOH)`
`undersetunderset("(A)")("Carboxylic acid")(RCOOH)overset(LiAlH_(4))rarrundersetunderset("(C)")("Alcohol")(R CH_(2)OH)`
`undersetunderset("(A)")("Acid")(RCOOH)+undersetunderset("(B)")("Alcohol")(RCH_(2)OH)overset(H_(2)SO_(4))iffundersetunderset("(C)")("Ester (Fruity smell)")(RCOOCH_(2)R+H_(2)O)`