Question

10) A person receives a fixed salary and fixed salary increment every
year. The salary of that person after 4 years is Rs. 15000 and the
salary after 10 years is Rs 18000, then find his salary and increment.

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Answer 1

Lᴇᴛ ᴛʜᴇ sᴛᴀʀᴛɪɴɢ sᴀʟᴀʀʏ ᴏғ ᴛʜᴇ ᴍᴀɴ ʙᴇ Rs. x ᴀɴᴅ ᴛʜᴇ ғɪxᴇᴅ ᴀɴɴᴜᴀʟ ɪɴᴄʀᴇᴍᴇɴᴛ ʙᴇ Rs. ʏ. Tʜᴇɴ,

Sᴀʟᴀʀʏ ᴀғᴛᴇʀ ④ ʏᴇᴀʀs ᴏғ sᴇʀᴠɪᴄᴇ =Rs. (x+④ʏ)

Sᴀʟᴀʀʏ ᴀғᴛᴇʀ ①⓪ ʏᴇᴀʀs ᴏғ sᴇʀᴠɪᴄᴇ =Rs. (x+①⓪ʏ)

∴x+④ʏ=①⑤⓪⓪ (ɪ)

x+①⓪ʏ=①⑧⓪⓪ (ɪɪ)

Sᴜʙᴛʀᴀᴄᴛɪɴɢ ᴇϙᴜᴀᴛɪᴏɴ (ɪ) ғʀᴏᴍ ᴇϙᴜᴀᴛɪᴏɴ (ɪɪ), ᴡᴇ ɢᴇᴛ

⑥ʏ=③⓪⓪⇒ʏ=⑤⓪

Pᴜᴛᴛɪɴɢ ʏ=⑤⓪ ɪɴ ᴇϙᴜᴀᴛɪᴏɴ (ɪ), ᴡᴇ ɢᴇᴛ x=①③⓪⓪.

Hᴇɴᴄᴇ ᴛʜᴇ sᴛᴀʀᴛɪɴɢ sᴀʟᴀʀʏ ᴡᴀs Rs. ①③⓪⓪ ᴀɴᴅ ᴀɴɴᴜᴀʟ ɪɴᴄʀᴇᴍᴇɴᴛ ɪs Rs. ⑤⓪.

Tʜɪs ɪs ʏᴏᴜʀ ᴀɴsᴡᴇʀ Mᴀʀᴋ ᴀs ʙʀᴀɪɴʟɪᴇsᴛ