Salman bought $40$ chairs at Rs $175$ each. He sold one-fourth of them at a loss of $8 %$ at what price each must he sell the remaining chairs so as to gain $10 %$ on the whole?

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Solution

cost of $10$ chairs = $10 \times 175$
$= R s .1750$

S.P = $\frac{[C . P (100 - l o s s %)]}{100}$

$= \frac{1750 (100 - 8)}{100}$

$= 17.5 \times 92$

$= R s . 1610$

Loss $= 140$
Total C.P = $40 \times 175 = 7000$

$10$ % profit = Rs. $700$

C.P of $30$ chairs = $30 \times 175 = 5250$
S.P of $30$ chairs $= 5250 + 700 + 140$
$= 5950 + 140$
$= 6090.$

$∴$ S.P of $1$ chair for getting $10$ % on whole

=Rs $\frac{6090}{30}$

=Rs. $203$

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Salman bought 40 chairs at Rs 175 each. He sold one-fourth of them at a loss of 8% at what price each must he sell the remaining chairs so as to gain 10% on the whole?

cost of 10 chairs =10×175=Rs.1750S.P = [C.P(100−loss%)]100=1750(100−8)100=17.5×92=Rs. 1610Loss =140Total C.P = 40×175=700010% profit = Rs. 700C.P of 30 chairs = 30×175=5250S.P of 30 chairs =5250+700+140=5950+140=6090.∴ S.P of 1 chair for getting 10 % on whole=Rs 609030=Rs. 203

Salman bought $40$ chairs at Rs $175$ each. He sold one-fourth of them at a loss of $8 %$ at what price each must he sell the remaining chairs so as to gain $10 %$ on the whole?