Question

Mr. Sinha baught a plot of land for 96000 rs he sold two fifth of it at a loss of 6% at what profit% should he sell the remaining part to get profit of 10% on the whole

Answer 1

Answer:

Given : C.P. of the land = Rs. 96000

C.P. of the 2/5th part of the land = 2/5 × 96000 = Rs. 38400

 Loss on the sale of 2/5th part of land = 6 %

S.P of the 2/5th part of land = {(100-6) × 38400/100}

(94 × 38400)/100

94 × 384 = Rs. 36096

Total gain = 10 %

S.P. of the whole land = {(100+10) × 96000/100}

110 × 960

S.P. of the whole land = Rs. 105600

S.P. of the remaining part of the land i.e. 3/5th part = 105600 - 36096 = Rs. 69504

C.P. of the remaining part of land = (3×96000)/5 = Rs. 57600

Gain percentage of the remaining sold part of land

= {(69504 - 57600) × 100}/57600

= (11904 ×100)/57600

= 20.67 %

Answer 2

❥︎Aɴsᴡᴇʀ :-

☆20.67☆

Mᴇᴛʜᴏᴅ :-

$⇨ ɢɪᴠᴇɴ \: ᴄ.ᴘ. \: ᴏғ \: ᴛʜᴇ \: ʟᴀɴᴅ = ʀs \: 960000$

$⇨ ᴄ.ᴘ. \: ᴏғ \: ᴛʜᴇ \: 2/5ᴛʜ \: ᴘᴀʀᴛ \: ᴏғ \: ᴛʜᴇ \: ʟᴀɴᴅ \: = \: 2/5 \: × 960000 \: = \: ʀs.38400$

$⇨ ʟᴏss \: ᴏɴ \: ᴛʜᴇ \: sᴀʟᴇ \: ᴏғ \: 2/5ᴛʜ \: ᴘᴀʀᴛ \: ᴏғ \: ʟᴀɴᴅ \: = \: 6%$

$⇨ s.ᴘ. \: ᴏғ \: ᴛʜᴇ \: 2/5ᴛʜ \: ᴘᴀʀᴛ \: \: ᴏғ \: ʟᴀɴᴅ \: = {(100-6) × 38400/100}$

$⇨ (94 × 38400)/100$

$⇨ 94 × 384 = ʀs.36096$

$⇨ ᴛᴏᴛᴀʟ \: ɢᴀɪɴ = 10%$

$⇨ s.ᴘ. \: ᴏғ \: ᴛʜᴇ \: ᴡʜᴏʟᴇ \: ʟᴀɴᴅ = {(100±10) × 96000/100}$

$⇨ 110×960$

$⇨ s.ᴘ. \: ᴏғ \: ᴛʜᴇ \: ᴡʜᴏʟᴇ \: ʟᴀɴᴅ = ʀs.105600$

$⇨ s.ᴘ. \: ᴏғ \: ᴛʜᴇ \: ʀᴇᴍᴀɪɴɪɴɢ \: \: ᴘᴀʀᴛ \: ᴏғ \: ᴛʜᴇ \: ʟᴀɴᴅ \: ɪ.ᴇ. \: 3/5ᴛʜ \: ᴘᴀʀᴛ = 105600-36096 = ʀs.69504$

$⇨ ᴄ.ᴘ. \: ᴏғ \: ᴛʜᴇ \: ʀᴇᴀᴍɪɴɪɴɢ \: \: ᴘᴀʀᴛ \: ᴏғ \: ᴛʜᴇ \: ʟᴀɴᴅ = (3×96000)/5 = ʀs.57600$

$⇨ ɢᴀɪɴ \: ᴘᴇʀᴄᴇɴᴛᴀɢᴇ \: ᴏғ \: ᴛʜᴇ \: ʀᴇᴀᴍɪɴɪɴɢ \: sᴏʟᴅ \: ᴘᴀʀᴛ \: ᴏғ \: ᴛʜᴇ \: ʟᴀɴᴅ$

$={(69504 - 57600) × 100}/57600$

$= (11904 × 100)/57600$

$★ 20.67%★$★

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