Tick (✓) the correct answer

Question:

Tick (✓) the correct answer:

Ravi buys some toffees at 5 for a rupee and sells them at 2 for a rupee. His gain per cent is

(a) 30%

(b) 40%

(c) 50%

(d) 150%

Solution:

(d) 150%

L. C. M of 5 and $2=(5 \times 1 \times 2)=10$

Let 10 be the number of toffees bought.

CP of 5 toffees $=$ Rs 1

$\mathrm{CP}$ of 1 toffee $=\mathrm{Rs}\left(\frac{1}{5}\right)$

$\therefore \mathrm{CP}$ of 10 toffees $=\mathrm{Rs}\left(\frac{1}{5} \times 10\right)$

= Rs 2

SP of 2 toffees $=$ Rs 1

SP of 1 toffee $=$ Rs $\left(\frac{1}{2}\right)$

$\therefore$ SP of 10 toffees $=$ Rs $\left(\frac{1}{2} \times 10\right)$

= Rs 5

Gain $=$ Rs $(5-2)$

= Rs 3

Gain percentage $=\left(\frac{\text { gain }}{\mathrm{CP}} \times 100\right) \%$

$=\left(\frac{3}{2} \times 100\right) \%$

$=150 \%$

 

 

 

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