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=

$\\ \sf\longmapsto 35000\times \dfrac{1}{7}$

$\\ \sf\longmapsto 5000$

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

He sold good wheat at a gain of 10%

$\\ \sf\longmapsto Gain=\dfrac{10}{100}\times 30000$

$\\ \sf\longmapsto Gain=3000$

Now

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

______________________

• He sold spoiled wheat at a loss of 25%

$\\ \sf\longmapsto Loss=\dfrac{25}{100}\times 5000$

$\\ \sf\longmapsto 1250$

Now

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

______________________

Total SP:-33000+3750=36750

• He got a gain

$\\ \sf\longmapsto Gain\%=\dfrac{36750-35000}{35000}\times 100$

$\\ \sf\longmapsto Gain\%=\dfrac{1750}{350}$

$\\ \sf\longmapsto Gain\%=5\%$

Answer 2

Price of spoiled wheat

$= > 35000 \times \frac{1}{7}$

$= > 5000$

wheat not spoiled cost price = 35000 - 5000 = Rs. 30000

He sold good wheat at a gain of 10%

$= > gain = \frac{10}{100} \times 30000$

$= > 3000$

Sold price = 30000 + 3000 = 33000

He sold spoiled wheat at a loss of 25%

$loss = \frac{25}{100} \times 5000$

$= 1250$

Sold price = 5000 - 1250 = 3750

Total SP = 33000 + 3750 = 36750

Its a gain.

$gain\% = \frac{36750 - 35000}{35000}$

$gain\% = \frac{1750}{350}$

$gain\ = 5\%$

#Sampad's Fan