Question

A man bought pencils at the rate of 6 for Rs 4 and sold them at the rate of 4 for Rs 6. his gain % in the transaction

Answer 1

$\textbf {Hey there, here is the solution.}$

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STEP 1 : Find the cost of 1 pencil:

6 pencils = Rs 4

1 pencil = 4/6 = Rs 2/3 or Rs 0.67

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STEP 2: Find the selling price of 1 pencil:

4 pencils = Rs 6

1 pencil = 6/4 = 3/2 or Rs 1.50

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STEP 3: Find the percentage gain :

Gain = 3/2 - 2/3 = 5/6

Gain percentage = 5/6 x 100 = 83.3%

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Answer: The percentage gain is 83.3% for this transaction

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$\textbf {Cheers}$

Answer 2

C.P of 6 Pencils = ₹4

C.P of 1 Pencil =₹4/6=₹2/3

S.P of 4 Pencils =₹6

S.P of 1 Pencil =₹6/4=₹3/2

Gain%= S.P-C.P/C.P ×100

= (3/2-2/3)/(2/3)×100

=125%