Question

By selling a sofa for Rs 10,240, Ronie incurred a loss of 20%. If he wanted to make a profit of 6%, at what price should he have sold it

Answer 1

sp of sofa=10240rs
ronie had loss of 20%
cp of sofa=100/100-loss%*sp
=100/100-20*10240=100/80*10240=
12800 rs
so sp when she wanted to gain 6%=
sp= 100+gain%/100*cp
=100+6%/100*12800=106/100*12800
=13568rs

so if she sold sofa at 13568rs she would gain profit of 6%

Answer 2

Ronie should have sold at Rs 13568 to make a profit of 6 %

Solution:

Selling Price = Rs 10240

Loss = 20 %

Find the cost price

$CP = \frac{SP}{100 - loss \% } \times 100\\\\CP = \frac{10240}{ 100 - 20 } \times 100\\\\CP = 12800$

If he wanted to make a profit of 6%

Profit = 6 %

CP = 12800

SP = ?

Therefore,

$SP = \frac{100 + profit \% }{100} \times CP\\\\SP = \frac{100+6}{100} \times 12800\\\\SP = 106 \times 128\\\\SP = 13568$

Thus he should have sold at Rs 13568

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