Question

The cost price of 10 bananas is equal to selling price of 12 bananas find the loss percentage?

Answer 1

Given that the cost price of 10 bananas is equal to selling price of 12 bananas, you need to find the Loss Percentage.

Therefore, you need to use the following formula to find the Loss Percentage:

`\text{ }Loss\text{ \%}=\frac{Cost\text{ }Price-Selling\text{ }Price}{Cost\text{ }Price}\cdot100`

In this case, the cost price of 1 bananas is:

`Cost\text{ }Price=(1)/(10)`

And the selling price of 1 bananas is:

`Selling\text{ }Price=(1)/(12)`

Then, you can substitute values into the formula:

`\text{ }Loss\text{ \%}=((1)/(10)-(1)/(12))/((1)/(10))\cdot100`

In order to subtract the fractions in the numerator, you can use this formula:

`(a)/(b)-(c)/(d)=(ad-bc)/(bd)`

`\text{ }Loss\text{ \%}=(((1)(12)-(1)(10))/(10\cdot12))/((1)/(10))\cdot100`
`\text{ }Loss\text{ \%}=((12-10)/(120))/((1)/(10))\cdot100`
`\text{ }Loss\text{ \%}=((2)/(120))/((1)/(10))\cdot100`
`\text{ }Loss\text{ \%}=((1)/(60))/((1)/(10))\cdot100`
`\text{ }Loss\text{ \%}=(10)/(60)\cdot100`
`\text{ }Loss\text{ \%}\approx16.67\text{\%}`

Hence, the answer is (approximately):

`16.67\text{\%}`