Question

Mike sold a watch at 5% loss. Had he sold it for $ 104 more, he would have gained 8%. Find the selling price of the watch ?​

Answer 1

Answer:

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Step-by-step explanation:

Let the selling price of the watch be $ x.

Loss% = 5%.

Therefore, CP of the watch = {100/(100 - loss %) × SP}

= $ {100/(100 - 5) × x}

= $ {(100/95) × x}

= $ (20x /19)

Now, CP = $ (20x /19) and gain % = 8%.

Then, SP = [{(100 + gain %)/100} × CP]

= $ [{(100 + 8)/100} ×(20 x /19)]

= $ {(108/100)×(20x /19)}

= $ (108x /95)

Therefore, (108x /95) - x = 104

⇔ (108x - 95x) = (104 × 95)

⇔ 13x = (104 × 95)

⇔ x = (104 × 95)/13

⇔ x = 760.

Hence, the selling price of the watch is $ 760.

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Answer 2

Answer:

Step-by-step explanation:

Let the selling price of the watch be $ x.

Loss% = 5%.

Therefore, CP of the watch = {100/(100 - loss %) × SP}

= $ {100/(100 - 5) × x}

= $ {(100/95) × x}

= $ (20x /19)

Now, CP = $ (20x /19) and gain % = 8%.

Then, SP = [{(100 + gain %)/100} × CP]

= $ [{(100 + 8)/100} ×(20 x /19)]

= $ {(108/100)×(20x /19)}

= $ (108x /95)

Therefore, (108x /95) - x = 104

⇔ (108x - 95x) = (104 × 95)

⇔ 13x = (104 × 95)

⇔ x = (104 × 95)/13

⇔ x = $750