Question

If a table is sold for £437 at loss of 8%,find its cost price .At what price must it be sold to gain 10%?

Answer 1

Step-by-step explanation:

Given ,

SP = £437

loss%=8%

CP = 100/100-loss% ×SP

= 100/100-8 ×437

=100/92×437

=475

CP =475

gain%=10%

SP = 100+gain%/100×CP

= 100+10/100×475

=1045

Answer 2

The price must be £522.5 to gain 10%.

Step-by-step explanation:

Since we have given that

Selling price = £437

Loss% = 8%

So, the cost price would be

$\dfrac{100}{100-8}\times 437\\\\=\dfrac{100}{92}\times 437\\\\=\£475$

So, if there is 10% gain, then selling price would be

$\dfrac{100+10}{100}\times 475\\\\=\dfrac{110}{100}\times 475\\\\=1.1\times 475\\\\=522.5$

Hence, the price must be £522.5 to gain 10%.

# learn more:

If a table is sold for rs 437 at a loss of 8 percent, find the cost price?

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