Question

Plz solve this asap......

Answer 1

let the market price of book be'Rs 100 '

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since , Commission given = 10% on M.P
then 'Find S.P'
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price of book after giving 10 % Commission

= M.P -10% of M.P

=100 - 10 = Rs 90 = Selling price (original)

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let the cost price of book = Rs x

Given
that after giving 10% Commission

gain = 20 %

according to question ,
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x + 20 % of x = 90

x + 20 /100 × x = 90

x + 0.2 x. = 90

1.2 x = 90 => x = 90 / 1.2 = Rs 75

cost price = x = Rs 75

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when the Commission is increased to 15 % then 'Find New S.P '
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new selling price = M.P - 15 % of M.P

=Rs 100 - Rs 15 = Rs 85

gain = New S.P - C.P = 85 - 75 = Rs 10

gain% = gain / C.P × 100

=10 / 75 × 100

=1000/ 75 = 13 1/3

therefore ,gain = 13 1/ 3%

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Your Answer:(b) gain =13 1/3 %
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Answer 2

Define x:

Let the cost price = x

Find the cost price with 20% gain in percentage:

20% of x = 0.2x

Cost price with 20% gain = x + 0.2x = 1.2x

⇒ The cost price with 20% gain is 1.2x

Express the marked price:

Commission = 10%

Cost price with gain = 100 - 10 = 90%

90% = 1.2x

1% = 1.2x ÷ 90 = 1/75 x

100% = 1/75x × 100 = 4/3x

⇒ The marked price is 4/3 x

Find the new commission:

15% Commission = 0.15 x 4/3 x = 1/5 x

⇒ The new commission is 1/5 x

Find the marked price after commission is deducted:

Marked price after commission = 4/3 x - 1/5x

Marked price after commission = 17/15 x

⇒ The marked price after the commission is 17/15 x

Find the gain percentage:

Gain = 17/15x - x = 2/15x

Gain percentage = (2/15x ÷ x) x 100 = 13 1/3%

⇒ The Gain is 13 1/3 %

Answer: (b) 13 1/3