Question

Greg sells two watches for $ 1955 each, gaining 15% on one and losing 15% on the other. Find her gain or loss per cent in the whole transaction. ​

Answer 1

Answer:

your answer is here !

Step-by-step explanation:

SP of the first watch = $ 1955.

Gain% = 15%.

Therefore, CP of the first watch = [{100/(100 + gain %)} × SP]

= $ [{100/(100 + 15)} × 1955]

= $ {(100/115) × 1955}

= $ 1700.

SP of the second watch = $ 1955.

Loss% = 15%.

CP of the second watch = [{100/(100 - loss %)} × SP]

= $ [{100/(100 - 15)} × 1955]

= $ {(100/85) × 1955}

= $ 2300

Total CP of the two watches = $ (1700 + 2300) = $ 4000.

Total SP of the two watches = $ (1955 × 2) = $ 3910.

Since (SP) < (CP), there is a loss in the whole transaction.

Loss = $ (4000 - 3910) = $ 90.

Therefore, Loss% = {(90/4000) × 100} % = 2¹/₄%

Hence, Greg loses 2¹/₄% in the whole transaction.

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Answer 2

Answer:

Step-by-step explanation:

SP of first watch =₹1955

Gain% on first watch =15%

Then, CP of first watch =SP÷(100+gain%/100)

=1955÷(100+15/100)

=1955÷115/100

=1955×100/115

=₹1700

Now, SP of second watch=₹1955

And loss%=15%

Then, CP of second watch=SP÷(100-loss%/100)

=1955÷(100-15/100)

=1955÷(85/100)

=1955×100/85

=₹2300

Total CP of watches =1700+2300=₹4000

Total SP of watches=1955+1955=₹ 3910

CP>SP

Loss=CP-SP

=4000-3910

=₹90

Loss%=100×loss/CP

=100×90/4000

=9/4=2upon1/4%