Some fruits are bought at a rate of 11 for ₹100 and an equal number at a rate of 9 for ₹100. If all the fruits are sold at a rate of 10 for ₹100, then what is the gain or loss percent in the entire transaction?
We know that CP is cost price
SP is selling price
In first condition
CP of 11 toffee=₹10
CP of 1 fruits = ₹ ( $$\frac{10}{11}$$ )
in second condition
CP of 9 fruits= ₹ 10
CP of fruits = ₹ ( $$\frac{10}{9}$$ )
therefore, CP of both fruits = ₹ $$\frac{10}{11}$$+₹ $$\frac{10}{9}$$
= ₹ $$\frac{200}{99}$$
so, cp of 1 = $$\frac{200}{99}$$ ÷2
Cost price = ₹ $$\frac{100}{99}$$
sp of 1 fruits = ₹ 1(given)
loss=cost price - selling price
= $$\frac{100}{99}$$ - 1
Loss = ₹ $$\frac{1}{99}$$
loss percentage = $$\frac{loss}{cost price}$$×100
loss (%) = $$\frac{1÷99}{100÷99}$$×100
loss percent=1% loss
=1 percent loss
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