Question

A shopkeeper bought wheat for Rs. 35000. Due to leakage in the godown 1/7 of the total wheat was spoiled. He sold the good wheat at a gain of 10% and the spoiled wheat at a loss of 25%. Find his total gain or loss per cent.

Answer 1

Price of spoiled wheat=

`\\ \sf\longmapsto 35000* (1)/(7)`

`\\ \sf\longmapsto 5000`

• Good wheat cost price=35000-5000=Rs 30000

He sold good wheat at a gain of 10%

`\\ \sf\longmapsto Gain=(10)/(100)* 30000`

`\\ \sf\longmapsto Gain=3000`

Now

`\\ \sf\longmapsto Sold\:Price=30000+3000=\boxed{\bf{33000}}`

______________________

• He sold spoiled wheat at a loss of 25%

`\\ \sf\longmapsto Loss=(25)/(100)* 5000`

`\\ \sf\longmapsto 1250`

Now

`\\ \sf\longmapsto Sold\: Price=5000-1250=\boxed{\bf{3750}}`

______________________

Total SP:-33000+3750=36750

• He got a gain

`\\ \sf\longmapsto Gain\%=(36750-35000)/(35000)* 100`

`\\ \sf\longmapsto Gain\%=(1750)/(350)`

`\\ \sf\longmapsto Gain\%=5\%`