Question

John bought two horses at Rs.20000 each. He sold one horse at 15% gain. But he had to sell the second horse at a loss. If he had suffered a loss of rs.1800 on the whole transaction, find the selling price of the second horse

Answer 1

$\underline\mathfrak{Given:-}$

• $\: \: \: \: \: cast \: \: prices \: \: of \: \: each \: \: horse \: \: = \: \: Rs \: {20000}$

• $\: \: \: \: \: he \: \: sold \: \: {1st} \: \: horse \: \: at \: \: a \: \: gain \: \: of \: \: {15} \: \%$

• $\: \: \: \: \: he \: \: had \: \: a \: \: loss \: \: of \: \: Rs \: \: {3600} \: \: on \: \: whole \: \: transaction.$

$\underline\mathfrak{To \: \: Find:-}$

• $\: \: \: \: \: Selling \: \: price \: \: of \: second \: \: horse ?$

$\underline\mathfrak{Solutions:-}$

• $\: \: \: \: \: \: \: cost \: price \: \: of \: \: both \: \: horse \: \: = \: \: {20000} \: \times \: {2}$

$\: \: \: \: \: \: \: \: \: \leadsto \: \: {40000}$

• $\: \: \: \: \: \: \: selling \: price \: \: of \: \: both \: \: horse \: \: \leadsto \: \: {C.P} \: - \: {loss}$

$\: \: \: \: \: \: \: \: \: \leadsto \: \: {40000} \: - \: {1800}$

$\: \: \: \: \: \: \: \: \: \leadsto \: \: {38200}$

$\: \: \: \: \: \: \: \: \: \huge\fbox{{S.P} \: \: \frac{({100} \: + \: {profit})}{100} \: \times \: {C.P}}$

$\: \: \: \: \: \therefore selling \: \: price \: \: of \: \: {1st} \: \: horse \: \: = \: \: \frac{({100} \: + \: {15})}{100} \: \times \: {20000}$

$\: \: \: \: \: \: \: \: \: \leadsto \: \: {115} \: \times \: {200}$

$\: \: \: \: \: \: \: \: \: \leadsto \: \: {Rs. \: {23000}}$

$\: \: \: \: \: \: \: \: \: Now,$

$\: \: \: \: \: \: \: \: \: \therefore S.P \: \: of \: \: {2nd} \: \: horse \: \: = \: \: S.P \: \: of \: \: both \: \: horse \: - \: S.P \: \: of \: \: {1st} \: \: horse.$

$\: \: \: \: \: \: \: \: \: \leadsto \: \: {38200} \: - \: {23000}$

$\: \: \: \: \: \: \: \: \: \leadsto \: \: {15000}$

$\: \: \: \: \: \: \: \: \: So$

$\: \: \: \: \: \: \: \: \: selling \: \: price \: \: of \: \: {2nd} \: \: horse \: \: = {Rs. \: {15000}}$

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