Choose the correct transformation of the given sentence in Indirect S…

The correct answer is Option (4) → The hotel porter offered to carry Mrs Iyer’s bags up to her room and said that the lift was not working that day.

Changing an offer and a statement into indirect speech:

Change	Direct	Indirect	Why
Reporting verb	said to Mrs Iyer	offered ... and said	“Shall I carry ...?” is an offer of help, so it is reported with “offered”. The second part is a statement, so it is brought in with “and said”.
To + verb	Shall I carry	to carry	“Offered” is followed by “to” + verb. So “Shall I” is dropped and “carry” becomes “to carry”.
Pronoun change	your, your	Mrs Iyer’s, her	Mrs Iyer is spoken to. Her name does not come after “offered”, so the first “your” becomes “Mrs Iyer’s”. The second “your” becomes “her”.
Joining word	“ ” (quotation marks)	that	“That” joins the statement.
Tense change	is not working	was not working	“Is not working” is in the present continuous. The present continuous is formed with am / is / are + V-ing. After the past “said” it becomes the past continuous “was not working”. The past continuous is formed with was / were + V-ing.
Time word	today	that day	The words are reported later, so “today” becomes “that day”.
Full sentence	The hotel porter said to Mrs Iyer, “Shall I carry your bags up to your room? The lift is not working today.”	The hotel porter offered to carry Mrs Iyer’s bags up to her room and said that the lift was not working that day.

When “Shall I” asks for advice and is not an offer, it is reported with “asked whether” + “should”. Example: Mohan said to the teacher, “Shall I write in ink or pencil?” → Mohan asked the teacher whether he should write in ink or pencil.

Why the Other Options are Incorrect?

Option 1: The hotel porter offered to carry Mrs Iyer’s bags up to her room and said that the lift is not working that day. — Incorrect. The present “is not working” is kept. After the past “said” it must become “was not working”.

Option 2: The hotel porter offered Mrs Iyer to carry her bags up to her room and said that the lift was not working that day. — Incorrect. “Offered” cannot take the person before “to” + verb. “Offered Mrs Iyer to carry” must be “offered to carry Mrs Iyer’s bags”.

Option 3: The hotel porter asked Mrs Iyer whether should he carry her bags up to her room and said that the lift was not working that day. — Incorrect. “Whether should he” keeps the question word order. In indirect speech the subject comes first: “whether he should”.