question 9 step by step ......….……………………………………
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ʜᴇʏᴀ!!
ʜᴇʀᴇ's ʏᴏᴜʀ ᴀɴsᴡᴇʀ
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ᴄᴏsᴛ ᴘʀɪᴄᴇ ᴏғ ᴛʜᴇ ᴄᴀʀ ( ᴘ ) = 2,50,000
ᴅᴇᴘʀᴇᴄɪᴀᴛɪᴏɴ ʀᴀᴛᴇ ᴘᴇʀ ᴀɴɴᴜᴍ ( ʀ % ) = 2 %
ᴛɪᴍᴇ ( ɴ ) = 3 ʏᴇᴀʀs
sᴏ , ᴀғᴛᴇʀ 3 ʏᴇᴀʀs ᴛʜᴇ ᴅᴇᴘʀᴇᴄɪᴀᴛɪᴏɴ ᴘʀɪᴄᴇ ᴡɪʟʟ ʙᴇ
= ᴘ ( 1 - ʀ / 100 )^ɴ [ • ʜᴇʀᴇ ᴜsɪɴɢ ' - ' ғᴏʀ ᴛʜᴇ ᴅᴇᴘʀᴇᴄɪᴀᴛɪᴏɴ ᴏғ ᴘʀɪᴄᴇ ]
= 2,50,000 ( 1 - 2 / 100 )^3
= 2,50,000 ( 1 - 1 / 50 )^3
= 2,50,000 { ( 50 - 1 ) / 50 }^3
= 2,50,000 × ( 49 / 50 )^3
= 2,50,000 × ( 49 / 50 ) × ( 49 / 50 ) × ( 49 / 50 )
= ( 250 × 49 × 49 × 49 ) / ( 5 × 5 × 5 )
= 2 × 49 × 49 × 49
= 235298.
sᴏ ᴛʜᴇ ᴛᴏᴛᴀʟ ᴅᴇᴘʀᴇᴄɪᴀᴛɪᴏɴ ᴀғᴛᴇʀ 3 ʏᴇᴀʀs
= ᴄᴏsᴛ ᴘʀɪᴄᴇ - ᴅᴇᴘʀᴇᴄɪᴀᴛɪᴏɴ ᴘʀɪᴄᴇ
= 2,50,000 - 2,35,298
= 14702.
•°• ᴛʜᴇ ᴛᴏᴛᴀʟ ᴅᴇᴘʀᴇᴄɪᴀᴛɪᴏɴ ᴀғᴛᴇʀ 3 ʏᴇᴀʀs ɪs 14702 ʀᴜᴘᴇᴇs.
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ʜᴏᴘᴇ ɪᴛ ʜᴇʟᴘs ʏᴏᴜ ᴅᴇᴀʀ! :)
★ ᴅᴇᴠɪʟ ᴋɪɴɢ
ʜᴇʀᴇ's ʏᴏᴜʀ ᴀɴsᴡᴇʀ
______________________
ᴄᴏsᴛ ᴘʀɪᴄᴇ ᴏғ ᴛʜᴇ ᴄᴀʀ ( ᴘ ) = 2,50,000
ᴅᴇᴘʀᴇᴄɪᴀᴛɪᴏɴ ʀᴀᴛᴇ ᴘᴇʀ ᴀɴɴᴜᴍ ( ʀ % ) = 2 %
ᴛɪᴍᴇ ( ɴ ) = 3 ʏᴇᴀʀs
sᴏ , ᴀғᴛᴇʀ 3 ʏᴇᴀʀs ᴛʜᴇ ᴅᴇᴘʀᴇᴄɪᴀᴛɪᴏɴ ᴘʀɪᴄᴇ ᴡɪʟʟ ʙᴇ
= ᴘ ( 1 - ʀ / 100 )^ɴ [ • ʜᴇʀᴇ ᴜsɪɴɢ ' - ' ғᴏʀ ᴛʜᴇ ᴅᴇᴘʀᴇᴄɪᴀᴛɪᴏɴ ᴏғ ᴘʀɪᴄᴇ ]
= 2,50,000 ( 1 - 2 / 100 )^3
= 2,50,000 ( 1 - 1 / 50 )^3
= 2,50,000 { ( 50 - 1 ) / 50 }^3
= 2,50,000 × ( 49 / 50 )^3
= 2,50,000 × ( 49 / 50 ) × ( 49 / 50 ) × ( 49 / 50 )
= ( 250 × 49 × 49 × 49 ) / ( 5 × 5 × 5 )
= 2 × 49 × 49 × 49
= 235298.
sᴏ ᴛʜᴇ ᴛᴏᴛᴀʟ ᴅᴇᴘʀᴇᴄɪᴀᴛɪᴏɴ ᴀғᴛᴇʀ 3 ʏᴇᴀʀs
= ᴄᴏsᴛ ᴘʀɪᴄᴇ - ᴅᴇᴘʀᴇᴄɪᴀᴛɪᴏɴ ᴘʀɪᴄᴇ
= 2,50,000 - 2,35,298
= 14702.
•°• ᴛʜᴇ ᴛᴏᴛᴀʟ ᴅᴇᴘʀᴇᴄɪᴀᴛɪᴏɴ ᴀғᴛᴇʀ 3 ʏᴇᴀʀs ɪs 14702 ʀᴜᴘᴇᴇs.
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ʜᴏᴘᴇ ɪᴛ ʜᴇʟᴘs ʏᴏᴜ ᴅᴇᴀʀ! :)
★ ᴅᴇᴠɪʟ ᴋɪɴɢ
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