Question

 A farmer buys a plot of agricultural land for ₹ 4, 50,000. He sells one-third at a loss of 15% and two-fifth at a gain of 20%. At what price must he sell the remaining land, so as to make an overall profit of 10%?​

Answer 1

ᴄᴏsᴛ ᴘʀɪᴄᴇ = ʀs 450000

ᴏᴠᴇʀᴀʟʟ ᴘʀᴏғɪᴛ = 10℅

ɪғ ᴛʜᴇ sᴇʟʟɪɴɢ ᴘʀɪᴄᴇ ɪs x,

450000+(450000×10/100) = x

= ʀs 495000

sᴇʟʟɪɴɢ ᴘʀɪᴄᴇ ᴏғ ᴏɴᴇ-ᴛʜɪʀᴅ ᴏғ ᴛʜᴇ ғɪᴇʟᴅ = 450000/3 × (100-15)/100 =5

450000/3 × 85/100 = ʀs 127500

sᴇʟʟɪɴɢ ᴘʀɪᴄᴇ ᴏғ ᴛᴡᴏ-ғɪғᴛʜ ᴏғ ᴛʜᴇ ғɪᴇʟᴅ = 450000× 2/5 × (100+20)/100 = ʀs 216000

sᴇʟʟɪɴɢ ᴘʀɪᴄᴇ ᴏғ ᴛʜᴇ ʀᴇᴍᴀɪɴɪɴɢ ғɪᴇʟᴅ = 495000 - ( 127500+ 216000) = 50500/3 = ʀs 151500

Answer 2

Answer:

if 90acres ---->4,50,000, then 1/3 means 30acres, should be sold at (450000*30)/90, =1,50,000. that means he get only 85% of 1,50,000,i.e,(85*1500)=1,27,500.