Question

15. A CD player was purchased for Rs 3,200 and Rs 560 were spent on its repairs. It was then sold at a gain of 12 1/2%. How much did the seller receive?

Answer 1

Answer:

$cp = 3200 \\ added \: cp = 560 \\ tota l \: cp = 3200 + 560 = 3760 \\ profit \: \% \: = 12 \frac{1}{2} \% \\ sp = ( \frac{100 + p}{100} ) \times cp \\ sp = ( \frac{100 + 12 \frac{1}{2} }{100} ) \times 3760 \\ sp = ( \frac{100 + \frac{25}{2} }{100} ) \times 3760 \\ sp = ( \frac{ \frac{200 + 25}{2} }{100} ) \times 3760 \\ sp = ( \frac{225}{2} \div 100) \times 3760 \\ sp = ( \frac{225}{2} \times \frac{1}{100} ) \times 3760 \\ sp = \frac{9}{8} \times 3760 \\ sp = 4230$