Question

Vijay bought 40 books at Rs.175 each. He sold 10 of these at a loss of 8%.If he wants to make an overall profit of 10%, at what price should he sell the remaining books?​

Answer 1

${\large{\mathfrak{\red{\underline{Given :}}}}}$

Vijay bought 40 books at Rs.175 each. He sold 10 of these at a loss of 8%.

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${\large{\mathfrak{\blue{\underline{To Find:}}}}}$

If he wants to make an overall profit of 10%, at what price should he sell the remaining books?

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${\maltese{\underline{\bf{First,}}}}$

${\sf{Cost \: of \: 10 \: books = 175 \times 10}}$

${\blue{\mapsto{\red{\boxed{1,750}}}}}$

S.P of 10 books :

Formula for S.P :

${\blue{\bigstar{\pink{\boxed{\mathfrak{S.P = \frac{c.p(100 - loss)}{100} }}}}}}$

${\mapsto{\bf{S.P = {\cancel\frac{1750(100 - 8)}{100} }}}}$

${\mapsto{\bf{17.5 \times 92}}}$

${\blue{\mapsto{\red{\boxed{\bf{Rs.1610}}}}}}$

Than,

${\blue{\bigstar{\pink{\boxed{\mathfrak{Loss = Cost \: price - Selling \: price}}}}}}</u></p><p><u>[tex]{\blue{\bigstar{\pink{\boxed{\mathfrak{Loss = Cost \: price - Selling \: price}}}}}}$

${\mapsto{\sf{Loss = 1750 - 1610}}}$

${\blue{\mapsto{\red{\boxed{\bf{Rs.140}}}}}}$

${\mapsto{\sf{Total \: cost \: price = 175 \times 40}}}$

${\blue{\mapsto{\red{\boxed{\bf{Rs.7000}}}}}}$

Than ,

${\sf{10 \: percent \: profit = Rs.700}}$

${\sf{Cost \: price \: of \: 30 \: books = 30 \times 175 = 5250}}$

${\mapsto{\sf{Selling \: price \: of \: 30 \: books \: should \: be = 5250 + 700+ 140}}}</u></p><p><u>[tex]{\mapsto{\sf{Selling \: price \: of \: 30 \: books \: should \: be = 5250 + 700+ 140}}}$

${\blue{\mapsto{\red{\boxed{\bf{6,090}}}}}}$

So,selling price of 1 book on 10% should be :

${\mapsto{\sf{ {\cancel\frac{6090}{30} }}}}$

${\purple{\mapsto{\underline{\boxed{\bf{Rs.203}}}}}}$

${\maltese{\underline{\bf{So,}}}}$

The cost of 1 chair should be Rs.203 for 10% profit.

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