Rajesh das bought two calculators for Rs 1000. He sold one of them at 20% profit and the other at 20% loss.If the selling price of both calculators are same,find the cost price of each calculator.Also,calculate his gain or loss percentin the total transaction.
Answers
Answer:
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Step-by-step explanation:
Rajesh das bought one calculator be x
profit = 20%
another calculator c. p = 1000- x
loss = 20%
Now
case1
s. p = x + 20/100 ×x
= 120x/100
=1.2x ........... 1
case 2
s. p = (1000- x) -20/100(1000- x)
=(10000-10x-2000-2x) /10
= (8000-8x) /10
=800-0.8x........ 2
case 1 = case 2
or, 1.2x=800-0.8x
or, 1.2x + o. 8x=800
or, 2x =800
or x = Rs 400
Rajesh das bought one calculator be x = Rs. 400
another calculator c. p = 1000- x
= 1000- 400 = Rs. 600
Rajesh das bought two calculators c. p=Rs1000
again,
s. p =1.2x
= 1.2 ×400
= Rs 480
Rajesh das sold two calculators = 2×480=960
now,
sp<cp
so,
loss amount = 1000- 960 =Rs.40
loss% = (40/1000) ×100%
= (40/10) %
= 4%
Rajesh das sold two calculators be loss 4%