a seller sold two trousers for 900 each. in one he gains 10% and on the he lost 10%.find his total loss or gain.
Answers
ANSWER:
2 pairs of trousers = $900.00
$900/2 = $450.00
10% of $450.00
10/100 x 450
= $45.00
Gain or Loss = $45.00
Step-by-step explanation:
The total cost was divided by two assuming that both pairs were the same price.
{Some corrections in question}
Question : A seller sold two trousers for Rs 900 each, in one he gains 10% and on the he lost 10%. find his total loss % or gain %.
Solution : Now, according to given, seller gain 10 % on first trouser and selling price of trouser is Rs 900.
Now,
⟹ Cost price = (100 * selling price)/(100 + gain %)
⟹ Cost price = (100 * 900)/(100 + 10)
⟹ Cost price = 90000/110
⟹ Cost price = Rs 818.1818182
similarly, seller loss 10 % on second trouser and selling price of trouser is Rs 900.
⟹ Cost price = (100 * selling price)/(100 - loss %)
⟹ Cost price = (100 * 900)/(100 - 10)
⟹ Cost price = 90000/90
⟹ Cost price = Rs 1000
Now,
⟹ Total cost price of both trousers = 818.18 + 1000
⟹ Total cost price of both trousers = Rs 1818.1818182
and
⟹ Total selling price of both trousers = 900 + 900
⟹ Total selling price of both trousers = Rs 1800
Here, we know that cost price of both trousers is greater than selling price of trousers. Hence it's loss
⟹ loss = cost price - selling price
⟹ loss = 1818.1818182 - 1800
⟹ loss = Rs 18.1818182
Now,
⟹ loss % = (loss/cost price) * 100
⟹ loss % = (18.1818182/1818.1818182) * 100
⟹ loss % = 0.01000000001 * 100
⟹ loss % = 1.000000001 %
Answer : Hence, loss % of the seller is 1 %.
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