Question

A vendor purchased four bunches of bananas consisting of 540 bananas in all for ₹169.10. He sold 15 dozens at 2 bananas a rupee, another 15 dozens at 3 bananas a rupee and the remaining at 5 bananas a rupee . find his loss or gain percentage.




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Answer 1

Answer :

Profit percentage = 9.9 %

Explanation :

Calculating Cost price ( CP ) :

↦4 bunches = 540 bananas

↦Cost price = ₹ 169.10

Calculating Selling price ( SP ) :

1 ) 15 Dozens = 2 bananas for ₹ 1

⟹ 1 dozen = 12 bananas

⟹ 15 Dozens = 15 × 12 = 180 bananas

⟹ 180 / 2 = ₹ 90

2 ) 15 Dozens = 3 for ₹ 1

⟹ 15 × 12 = 180 bananas

⟹ 3 banana = ₹ 1

⟹ 180 / 3 = ₹ 60

⇛Remaining bananas = Total - sold

⇛540 bananas - ( 180 + 180 ) bananas

⇛540 - 360

⇛180 bananas left

3 ) 180 bananas = 5 for ₹ 1

⟹ 180 / 5 = ₹ 36

↪Total Selling Price = 90 + 60 + 36 = ₹ 186

↪Cost price = ₹ 169.10

So, It's Profit

To find :

➳ Profit = Selling price - Cost price

➳ 186 - 169.10

➳ 16.9

Profit percentage = Profit / Cost price × 100

➳ 16.9 / 169.10 × 100

➳ 9.9 %

So, It's Done !!

Answer 2

${ \bf{ \underline{ \red{ \underline{Question : - }}}}}$

A vendor purchased four bunches of bananas consisting of 540 bananas in all for ₹169.10. He sold 15 dozens at 2 bananas a rupee, another 15 dozens at 3 bananas a rupee and the remaining at 5 bananas a rupee . find his loss or gain percentage.

${ \bf{ \underline{ \red{ \underline{Given : - }}}}}$

a) A vendor purchased four bunches of bananas consisting of 540 bananas in all for ₹169.10.

b) A vendor sold 15 dozens at 2 bananas a rupee, another 15 dozens at 3 bananas a rupee and the remaining at 5 bananas a rupee.

${ \bf{ \underline{ \red{ \underline{Solution : - }}}}}</p><p>$

To find a vendor's loss or gain percentage.

Let, C.P. be the Cost Price and S.P. be the Selling Price

Now, { From given (a) }

• C.P. of 540 bananas = ₹169.10

Now, { From given (b) }

A vendor sold 15 dozens at 2 bananas a rupee.

{We know 12 bananas in one dozen}

So now,

• 15 dozen bananas

= {15 × 12}bananas

• 15 dozen bananas

= 180 bananas

{From given (b) }

A vendor sold 15 dozens at 2 bananas a rupee.

${ \sf{ \green {\dashrightarrow{ \blue{S.P .\: of \: 180 \: bananas = \frac{180}{2} }}}}}$

${ \sf{ \green {\dashrightarrow{ \blue{S.P .\: of \: 180 \: bananas = ₹ \: 90 }}}}}$

• S.P of 15 dozens at 2 bananas a rupee is ₹ 90 . ....... ( 1 )

Now, { From given (b) }

A vendor sold 15 dozens at 3 bananas a rupee.

So now,

• 15 dozen bananas

= {15 × 12}bananas

• 15 dozen bananas

= 180 bananas

{ From given (b) }

A vendor sold 15 dozens at 3 bananas a rupee.

${ \sf{ \green {\dashrightarrow{ \blue{S.P .\: of \: 180 \: bananas = \frac{180}{3} }}}}}$

${ \sf{ \green {\dashrightarrow{ \blue{S.P .\: of \: 180 \: bananas = ₹ \: 60 }}}}}$

• S.P of 15 dozens at 3 bananas a rupee is ₹ 60 . ....... ( 2 )

Now, { From given (b) }

A vendor sold remaining dozen bananas at 5 bananas a rupee.

To find remaining bananas

Remaining bananas

= {540 - 180} bananas

Remaining bananas

= 180 bananas

Hence, a vendor sold 180 bananas at 5 bananas a rupee.

${ \sf{ \green {\dashrightarrow{ \blue{S.P .\: of \: 180 \: bananas = \frac{180}{5} }}}}}$

${ \sf{ \green {\dashrightarrow{ \blue{S.P .\: of \: 180 \: bananas = ₹ \: 36 }}}}}$

• ₹ 36 is the S.P of 180 bananas which sold at 5 bananas a rupee. ...... ( 3 )

Total S.P. of 540 bananas

= sum of eq. ( 1 ), ( 2 ) & ( 3 )

Total S.P. of 540 bananas

= ₹ { 90+60+36 }

Total S.P. of 540 bananas

= ₹186

We know S.P. of 540 bananas greater than C.P. of 540 bananas .

Hence, its Profit

So now,

• Profit = S.P. - C.P.

• Profit = 186 - 169.10

• Profit = ₹ 16.9

Now for Profit percentages {Profit %}

${ \sf{ \red{ \dashrightarrow{ \purple{Profit \: percentage \: = }}}} \: \frac{Profit \times 100}{C.P.} }$

${ \sf{ \red{ \dashrightarrow{ \purple{Profit \: percentage \: = }}}} \: \frac{16.9 \times 100}{169.10} }$

${ \sf{ \red{ \dashrightarrow{ \purple{Profit \: percentage \: = }}}} \: \frac{1690}{169.10} }$

${ \sf{ \red{ \dashrightarrow{ \purple{Profit \: percentage \: }}}} }$

${ \sf{ = \: 9.99 \: percent \: (approx)}}$

Hence profit % or gain % of vendor is 9.99 % ( approx ) .

i hope it helps you.