Question

# Tushar bought a mobile phone for $Rs.6000$. At what price should he sell the phone again so as to gain a profit of $10%$.

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Hint: Use the formula for calculating the selling price of an object when cost price and profit are given, which is $SP=\dfrac{100+P}{100}\left( CP \right)$, where SP is the price at which object should be sold, P is the profit percentage and CP is the price at which the object was purchased.

We have to find the price, at which a mobile phone, bought for $Rs.6000$ should be sold, so as to gain a profit of $10%$.
We know that when cost price and profit percentage is given, we calculate the selling price by using the formula $SP=\dfrac{100+P}{100}\left( CP \right)$, where SP is the price at which object should be sold, P is the profit percentage and CP is the price at which the object was purchased.
We have $CP=Rs.6000,P=10%$.
Substituting the above values in the formula for calculating selling price, we have $SP=\dfrac{100+P}{100}\left( CP \right)=\dfrac{100+10}{100}\left( 6000 \right)$.
Further simplifying the above expression, we have $SP=\dfrac{100+10}{100}\left( 6000 \right)=6600$.
Hence, the mobile phone should be sold for $Rs.6600$ to gain a profit of $10%$ one the cost price which is $Rs.6000$.