Some lollipops are bought at $11$ for a rupee and the same number at $9$ a rupee. If the whole lot is sold at $10$ a rupee, find the gain or loss percent.

2 %

gain

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2 %

loss

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1 %

gain

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1 %

loss

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Solution

The correct option is D $1 %$ loss
LCM of $9, 10$ and $11 = 990$ .
So, let us assume that $990$ lollipops of each kind are bought.
Now C.P. of $990$ lollipops of first kind $= (\frac{1}{11} \times 990) =$ Rs. $90$
C.P. of $990$ lollipops of second kind $=$ Rs. $(\frac{1}{9} \times 990) =$ Rs. $110$
S.P. of $1980$ lollipops $=$ Rs. $(\frac{1}{10} \times 1980) =$ Rs. $198$
Total C.P. $=$ Rs. $90 +$ Rs. $110$ Rs. $200$ .... $∵$ C.P. $>$ S.P.,
Loss $=$ Rs. $200 -$ Rs. $198 =$ Rs. $2$
$∴$ Loss $%$ $\frac{L o s s}{C . P .} \times 100 = \frac{2}{200} \times 100 = 1 %$

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Some lollipops are bought at 11 for a rupee and the same number at 9 a rupee. If the whole lot is sold at 10 a rupee, find the gain or loss percent.

Some lollipops are bought at $11$ for a rupee and the same number at $9$ a rupee. If the whole lot is sold at $10$ a rupee, find the gain or loss percent.