Question

apples are bought at the rate of 26 for rupees 10.how many for a Rupee should this be sold to make a profit of 30%

Answer 1

26 apples are bought for Rs. 10
26/10 apples or 2.6 apples are bought for Re. 1
Now Profit percentage is 30%
Let the number of apples be x
Now, Cp= 1/2.6
Sp= 1/x
Profit percentage=
$\frac{1}{x} - \frac{1}{2.6} = \frac{30}{100} (given \: already ) \\ = > \frac{2.6 - x}{2.6 \times x} = \frac{3}{10} \\ = > 10 \times (2.6 - x) = 3 \times 2.6 \times x \\ = > 26 - 10x = 7.8x \\ = > - 10x - 7.8x = - 26 \\ = > - (17.8x) = - 26 \\ = > x = \frac{26}{17.8} \\ = > x = 1.46(approximate)$

Therefore, 1.5 (approx.) apples should be sold to make a profit of 30%