Question

Ankit sold two jeans for 990 each. On one he gains 10% and on the other he lost
10%. Find his gain or loss per cent in the whole transaction.
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Answer 1

Answer:-

$\red{\bigstar}$ Ankit had a loss percent in whole transaction by $\large\leadsto\boxed{\rm\purple{1 \: \%}}$

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• Given:-

• Selling Price of both jeans = Rs. 990

• Gain on 1st jeans = 10%

• Loss on 2nd jeans = 10%

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• To Find:-

• Gain or loss percent in whole transaction

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• Solution:-

➊

In case of 1st jeans,

$\pink{\bigstar}$ $\large\underline{\boxed{\bf\green{C.P = \: \dfrac{S.P \times 100}{100 \: + \: P\%}}}}$

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➪ C.P = $\sf \dfrac{990 \times 100}{100 + 10}$

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➪ C.P = $\sf \dfrac{99000}{110}$

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✯ C.P = Rs. 900

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➋

In case of 2nd jeans,

$\pink{\bigstar}$ $\large\underline{\boxed{\bf\green{C.P = \: \dfrac{S.P \times 100}{100 \: - \: L\%}}}}$

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➪ C.P = $\sf \dfrac{990 \times 100}{100 - 10}$

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➪ C.P = $\sf \dfrac{99000}{90}$

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✯ C.P = Rs. 1100

━━━━━━━━━━━━━━━━━━━━━━━━━

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★ Therefore,

➠ Total C.P = 1100 + 900 = $\bf\red{Rs. \: 2000}$

➠ Total S.P = 990 + 990 = $\bf\red{Rs. \: 1980}$

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Here,

S.P < C.P

Therefore, Loss

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We know,

Loss = C.P - SP

Hence,

➪ $\sf Loss = 2000 - 1980$

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$\pink{\bigstar}$$\bf\purple{Loss = Rs. \: 20}$

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Now,

➪ $\sf Loss \% = \dfrac{Loss}{C.P} \times 100$

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➪ $\sf Loss \% = \dfrac{20}{2000} \times 100$

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★ $\bf{\pink{Loss \% = 1 \%}}$

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Therefore, the total loss percent in whole transaction is 1%.

Answer 2

Answer:

☆Answered by Rohith kumar. R. maths dude: -

☆Answer :- Ankit gain or loss percent in whole transaction is ---1%.

●Explanation: -

1)If we take in the first case of 1st jeans ,

● CP= SP×100

100+P%

●CP= 990×100

100+10

●CP=99000

110

●CP=Rs.900

2) In the case of second jeans

●CP= SP×100

100-L%

●CP= 990×100

100-10

●CP= 99000

90

●CP= Rs.1100.

☆Therefore, total CP=1100+990=Rs.2000

And total SP=990+990=Rs.1980

▪Here we can see that

▪SP <CP

▪We can take

▪Loss=CP-SP

▪Loss=2000-1980

▪Loss=Rs.20

●And now loss percentage

▪Loss%=Loss ×100

CP

▪Loss%= 20 ×100

2000

▪Loss%= 1%.

☆Hope it helps u mate.

☆☆Thank you.