By selling an umbrella for Rs.336, a shopkeeper loses 4%. At what pric

1.	By selling an umbrella for Rs.336, a shopkeeper loses 4%. At what price must he sell it to gain 4%?
Answer» Let x be the CP of an umbrella SP = \(\frac{100\,-\,Loss\%}{100}\times CP\) \(336=\frac{100\,-\,4}{100}\times x\) \(336=\frac{96x}{100}\) = Rs.350 So, CP of an umbrella is Rs.350. New SP to gain 4% SP = \(\frac{100\,+\,Gain\%}{100}\times CP\) \(=\frac{100\,+\,4}{100}\times350\) \(=\frac{104}{100}\times350\) = Rs.364 So, to gain 4% on Umbrella new Selling Price will be Rs.364.

By selling an umbrella for Rs.336, a shopkeeper loses 4%. At what price must he sell it to gain 4%?

Answer»

Let x be the CP of an umbrella

SP = \(\frac{100\,-\,Loss\%}{100}\times CP\)

\(336=\frac{100\,-\,4}{100}\times x\)

\(336=\frac{96x}{100}\)

= Rs.350

So, CP of an umbrella is Rs.350.

New SP to gain 4%

SP = \(\frac{100\,+\,Gain\%}{100}\times CP\)

\(=\frac{100\,+\,4}{100}\times350\)

\(=\frac{104}{100}\times350\)

= Rs.364

So, to gain 4% on Umbrella new Selling Price will be Rs.364.