Question

answer it by using the formula of profit and loss ​

Answer 1

Step-by-step explanation:

For first watch:

Let CP = ₹ x

SP =₹ 2970

Gain percent = 10%

Gain = SP - CP = ₹(2970 - x)

$Gain\:percent = \frac{Gain} {CP} \times 100 \\</p><p>\therefore 10=\frac{2970-x} {x} \times 100 \\</p><p>\therefore 10x=(2970-x) \times 100 \\</p><p>\therefore 10x=297000-100x \\</p><p>\therefore 10x+100x=297000 \\</p><p>\therefore 110x=297000 \\</p><p>\therefore x=\frac {297000} {110} \\\huge\fbox {\therefore x=2700} \\</p><p>\therefore Gain = 2970 - 2700= Rs. 270$

For second watch:

Let CP = ₹ y

SP =₹ 2970

Loss percent = 10%

Loss = CP - SP = ₹(y-2970)

$oss\:percent = \frac{Loss} {CP} \times 100 \\</p><p>\therefore 10=\frac{y-2970} {y} \times 100 \\</p><p>\therefore 10y=(y-2970) \times 100 \\</p><p>\therefore 10y=100y - 297000 \\</p><p>\therefore 10y-100y=-297000 \\</p><p>\therefore - 90y=-297000 \\</p><p>\therefore y=\frac {-297000} {-90} \\\huge\fbox {\therefore y=3300} \\</p><p>\therefore Loss = 3300-2970 = Rs. 330\\\because Loss>Gain\\</p><p>\therefore Loss\:in \:whole\:transaction\\= 330-270= Rs. 60\\ Now\\Cost\: price\: of \:two\: watches \\= x + y = 2700+3300= Rs. 6000\\</p><p>Loss\: percent\: in\: whole\: transaction\\ =\frac {60} {6000}\times 100\\</p><p>=\frac {60\times100 } {6000}\\</p><p>=\frac {6000 } {6000}\\</p><p>= 1\%$