a number is increased by 40%,then decresed by 40%.find the net increase or decrease percentage.
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ʜᴇy ᴍᴀᴛᴇ :
ᴡʜᴇɴ ᴡᴇ ɪɴᴄʀᴇᴀꜱᴇ ᴀ ɴᴜᴍʙᴇʀ ʙy ᴀ % ᴛʜᴇɴ ᴅᴇᴄʀᴇᴀꜱᴇ ʙy ᴀ % ᴛʜᴇɴ ɴᴇᴛ ᴩᴇʀᴇᴄᴇɴᴛᴀɢᴇ(ᴅᴇᴄʀᴇᴀꜱɪɴɢ) ᴡɪʟʟ ʙᴇ :
===> (ᴀ × ᴀ)/100 %
ɴᴏᴡ,
ᴀ = 40%
ᴛʜᴇɴ ᴅᴇᴄʀᴇᴀꜱɪɴɢ ᴩᴇʀᴄᴇɴᴛᴀɢᴇ : (40× 40)/100.
====>>>> 1600/100
====>>>> 16%(ᴅᴇᴄʀᴇᴀꜱɪɴɢ).
ᴩʀᴏᴠᴇ :
ʟᴇᴛ ɴᴜᴍʙᴇʀ ɪꜱ 100.
ᴡʜᴇɴ 100 ɪꜱ ɪɴᴄʀᴇꜱᴇᴅ ʙy 40% ᴛʜᴇɴ :
===>>>> 100 × 40 / 100
======>>>> 40
ᴛʜᴇɴ ɴᴇᴡ ɴᴜᴍʙᴇʀ : 100 + 40 = 140.
ɴᴏᴡ 140 ɪꜱ ᴅᴇᴄʀᴇᴀꜱᴇᴅ ʙy 40% ᴛʜᴇɴ :
====>>> 140 × 40/100
=====>>>> 56
ᴛʜᴇɴ ɴᴇᴛ ᴅᴇᴄʀᴇᴀꜱɪɴ ᴡɪʟʟ ʙᴇ : 140 -56.
======> 84.
ᴛʜᴇɴ ᴛᴏᴛᴀʟ ʟᴏꜱꜱ : 100 - 84 = 16.
ꜱᴏ ᴅᴇᴄʀᴇᴀꜱɪɴɢ ᴩᴇʀᴄᴇɴᴛᴀɢᴇ = 16 × 100/100.
= 16.
ʜᴇʀᴇ ᴡᴇ ᴄᴀɴ ꜱᴇ ʙᴏᴛʜ ᴀɴꜱᴡᴇʀ ɪꜱ ꜱᴀᴍᴇ.
ʜᴏᴩᴇ ɪᴛ ʜᴇʟᴩꜱ :)
ᴍᴀʀᴋ ᴍᴇ ᴀꜱ ʙʀᴀɪɴʟɪᴇꜱᴛ :-:
ᴡʜᴇɴ ᴡᴇ ɪɴᴄʀᴇᴀꜱᴇ ᴀ ɴᴜᴍʙᴇʀ ʙy ᴀ % ᴛʜᴇɴ ᴅᴇᴄʀᴇᴀꜱᴇ ʙy ᴀ % ᴛʜᴇɴ ɴᴇᴛ ᴩᴇʀᴇᴄᴇɴᴛᴀɢᴇ(ᴅᴇᴄʀᴇᴀꜱɪɴɢ) ᴡɪʟʟ ʙᴇ :
===> (ᴀ × ᴀ)/100 %
ɴᴏᴡ,
ᴀ = 40%
ᴛʜᴇɴ ᴅᴇᴄʀᴇᴀꜱɪɴɢ ᴩᴇʀᴄᴇɴᴛᴀɢᴇ : (40× 40)/100.
====>>>> 1600/100
====>>>> 16%(ᴅᴇᴄʀᴇᴀꜱɪɴɢ).
ᴩʀᴏᴠᴇ :
ʟᴇᴛ ɴᴜᴍʙᴇʀ ɪꜱ 100.
ᴡʜᴇɴ 100 ɪꜱ ɪɴᴄʀᴇꜱᴇᴅ ʙy 40% ᴛʜᴇɴ :
===>>>> 100 × 40 / 100
======>>>> 40
ᴛʜᴇɴ ɴᴇᴡ ɴᴜᴍʙᴇʀ : 100 + 40 = 140.
ɴᴏᴡ 140 ɪꜱ ᴅᴇᴄʀᴇᴀꜱᴇᴅ ʙy 40% ᴛʜᴇɴ :
====>>> 140 × 40/100
=====>>>> 56
ᴛʜᴇɴ ɴᴇᴛ ᴅᴇᴄʀᴇᴀꜱɪɴ ᴡɪʟʟ ʙᴇ : 140 -56.
======> 84.
ᴛʜᴇɴ ᴛᴏᴛᴀʟ ʟᴏꜱꜱ : 100 - 84 = 16.
ꜱᴏ ᴅᴇᴄʀᴇᴀꜱɪɴɢ ᴩᴇʀᴄᴇɴᴛᴀɢᴇ = 16 × 100/100.
= 16.
ʜᴇʀᴇ ᴡᴇ ᴄᴀɴ ꜱᴇ ʙᴏᴛʜ ᴀɴꜱᴡᴇʀ ɪꜱ ꜱᴀᴍᴇ.
ʜᴏᴩᴇ ɪᴛ ʜᴇʟᴩꜱ :)
ᴍᴀʀᴋ ᴍᴇ ᴀꜱ ʙʀᴀɪɴʟɪᴇꜱᴛ :-:
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