Question

on selling a teaset at 5 percent loss and a lemonset 15 percent a shopkeeper gain rs .84. However if sells the lemon set at 10percent gain rs.104. find the price of the set and that of the lemon set paid by the shopkeeper
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Answer 1

Answer:

ANSWER

Let the cost of the tea set = x  and the cost of lemon set = y

If he sells a tea set at 5% loss and lemon set at 15% gain

⇒loss on a tea set=x×1005

⇒gain on lemon set=y×10015

⇒10015y−1005x=7

⇒15y−5x=700

⇒−x+3y=140(i)

If he sells a tea set at 5% gain and the lemon set at 10 % gain, total gain = 13Rs

⇒1005x+10010x=13

⇒5x+10y=1300...(ii)

Now multiplying eq 1 from 5 and adding eq 2 will get

⇒−5x+15y=700

⇒5x+10y=1300

⇒25y=2000

⇒y=80

Now putting y = 80 in eq 1 will get

⇒−x+3×80=140

⇒−x+240=140

⇒−x=−100

⇒x=100

Hence actual price of tea set = 100 and actual price of lemon set = 80

Step-by-step explanation:

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