Question

if 30% is lost by selling a sofa set for rs980, at what price must be sold to gain 10% ?​

Answer 1

Explanation is in the attached photo. Sorry about previous answer.

Answer 2

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SP = ₹ 980

Loss = 30%

Let CP be x.

$\sf \: x - \frac{3 \cancel0}{10 \cancel0}x = 980\\ \\ \sf \dashrightarrow \frac{7}{10}x = 980 \\ \\ \sf \dashrightarrow \: x = \cancel{980} \times \frac{10}{ \cancel7} \\ \\ \sf \dashrightarrow \: x = 1400$

CP = ₹ 1400

According to the question, new SP

$\sf \implies1400 + \frac{10}{100} \times 1400 \\ \\ \sf \implies1400+140 \\ \\ \sf \implies1540$

It must be sold at ₹ 1540 to gain 10%.