Question

A Shopkeeper sold two watches for₹560 each, graining 12% on one and losing 44% on tha other . Find his gain or loss percent as a whole.​

Answer 1

Answer:

SP of watch A = rs.560

gain = 12%

$sp = cp(1 + \frac{g}{100} ) \\ cp = \frac{sp}{(1 + \frac{g}{100} )} \\ = \frac{560}{(1 + \frac{12}{100}) } \\ 560 \times \frac{100}{112} = 560 \times \frac{20}{56} \\ = \frac{11200}{56} = 200$

SP of watch B = rs.560

loss = 44%

$cp = \frac{sp}{(1 + \frac{l}{100}) } \\ = \frac{560}{(1 + \frac{44}{100} )} = 560 \times \frac{100}{144} \\ = 560 \times \frac{20}{72} \\ = \frac{11200}{72} = \frac{545}{3}$