Math, asked by poojanirmal123, 4 months ago

ajay sold two washing machine 12000 each. on one he gain 25 %. and on the other he loss 25 %. how much does he gain or loss in the whole transaction.

Answers

Answered by Dinosaurs1842

Given,

Sp of each machine = ₹12000

total sp = ₹24000 (12000+12000)

CP ON THE MACHINE IN WHICH THE SHOPKEEPER HAD A GAIN:

cp = 100/100+p% × 12000

= 100/100+25 × 12000

100/125 × 12000

cp = ₹9600

CP ON THE MACHINE WHICH THE SHOPKEEPER HAD A LOSS ON:

cp = 100/100-l% × 12000

cp = 100/75 × 12000

cp = ₹16000

total cp = ₹16000+₹9600 = ₹25600

the shopkeeper had a loss

loss = sp - cp

= 25600 - 24000

= ₹1600

loss%

1600/25600 × 100

= 6.25% or 6 1/2%

Dinosaurs1842: hello

Dinosaurs1842: I have changed my answer

Dinosaurs1842: check it now..

poojanirmal123: now it is correct

Dinosaurs1842: ok. thank you!

Dinosaurs1842: I apologise for providing a wrong answer.. I mistook the sp as cp

poojanirmal123: I have more doubts

poojanirmal123: I am putting it you have to answer it

Dinosaurs1842: yeah.. well.. I'll try answering

Dinosaurs1842: ok sure

Answered by rvss91024

Solution

SP = ₹ 12000 each

CP at 25 % gain

☆ CP= SP×100/(100+gain%)

= 12000×100/100+25

= 12000×100/125

CP= ₹ 9600

☆ CP at 25% loss.

CP = SP ×100/(100- loss%)

= 1200×100/100-25

= 1200×100/75

CP = ₹16000

CP of both machines = ₹9600+₹16000

= ₹ 25600

SP of both machines = ₹12000+12000

=₹24000

loss = CP-SP= 25600-24000 = ₹16000

loss % = loss/ CP ×100 = 1600/25600×100

= 6.25%

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