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?

Solution

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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