Question

. A man sells two ink-pens at * 198 each. On one he gains 10% and on the other he loses 10%. What is the cost price of each pen ? What is the total gain or loss?​

Answer 1

ANSWER:

S.P=198 S.P=198

PROFIT=10% LOSS=10%

CP=100 SP=110 CP=100 SP=90

CP=? P=198 CP=? SP=198

100×198=110×CP 100×198=90×CP

19800=110×CP 19800=90×CP

CP=19800÷110 =180 CP=19800÷90=220

Total CP= 180+220=400

Total SP=198+198=396

CP>SP

IT IS A LOSS

LOSS AMOUNT=rs.400- rs.396= rs.4

Loss percent= loss/total cp ×100

=4/400×100

=1%

Answer 2

Answer :-

• The total loss suffered by the man is Rs 4.

To find :-

• The cost price of each pen.
• The total gain or loss.

Step-by-step explanation :-

• Here, it is given that a man sells two ink pens at Rs 198 each. On one he gains 10% and on the other he loses 10%. We have to find the cost price of each pen and the total gain or loss.

______________________

• Let's find the cost price of the first pen!

Given that :-

• Selling price of the pen = Rs 198.
• Gain = 10%.

Therefore,

$\longmapsto\rm CP = \dfrac{100}{100 + Gain} \times SP$

$\longmapsto\rm CP = \dfrac{100}{100 + 10} \times 198$

$\rm \longmapsto CP = \dfrac{10\!\!\!\not0}{11\!\!\!\not0} \times 198$

$\rm\longmapsto CP = \dfrac{10}{11} \times 198$

Cancelling the numbers,

$\rm\longmapsto CP = 10 \times 18$

$\rm \longmapsto CP = Rs \: 180$

______________________

• Now, let's find the cost price of the second pen!

Given that :-

• Selling price of the pen = Rs 198.
• Loss = 10%

Therefore,

$\longmapsto\rm CP = \dfrac{100}{100 - Loss} \times SP$

$\rm \longmapsto CP = \dfrac{100}{100 - 10} \times 198$

$\rm \longmapsto CP = \dfrac{10\!\!\!\not0}{9\!\!\!\not0} \times 198$

$\rm\longmapsto CP = \dfrac{10}{9} \times 198$

Cancelling the numbers,

$\rm\longmapsto CP = 10 \times 22$

$\rm\longmapsto CP = Rs \: 220$

______________________

Now, we have :-

• Cost price of the first pen = Rs 180.
• Selling price of the first pen = Rs 198.

• Cost price of the second pen = Rs 220.
• Selling price of the second pen = Rs 198.

So :-

• Total cost price = 180 + 220 = Rs 400.

• Total selling price = 198 + 198 = Rs 396.

Here,

• The cost price is greater than the selling price. Thus, there is a loss.

And :-

$\longrightarrow\bf Loss = CP - SP$

$\longrightarrow \bf Loss = 400 - 396$

$\longrightarrow \bf Loss = Rs \: 4$

Hence :-

• The total loss suffered is Rs 4.

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