Question

By selling a bicycle for 1638,ishita loses 9% at what price should she sell it to make a profit of 15%​

Answer 1

$\Huge\mathrm{Question:}$

On selling a bicycle for Rs. 1638,ishita loses 9% .At what price should she sell it to make a profit of 15% ?

$\Huge\mathrm{Answer:}$

Ishita sold bicycle at = Rs. 1,638 at loss of 9%

1st Case :-

SP = Rs. 1638

CP = ? = x

[CP = (100/100-loss) × SP]

$\tt{ cp = \frac{100}{100 - 9} \times 1638 }$

$\tt{cp = \frac{100}{91} \times 1638}$

$\tt{cp = rs.1800}$

2nd Case :-

Now, the original price (CP) = Rs. 1800

SP = ?

Gain = 15%

[SP = (100 + gain/100) × CP]

$\tt{\frac{100+15}{100} \times 1800 }$

$\sf{\frac{115}{100} \times 1800 }$

SP = Rs. 2070

Hence, Ishita needs to sell the bicycle at Rs. 2070 to gain 15% .