Question 75

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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