Question

A Men Sells A Dog At A Gain Of 10% . Had He Sold It For Rs.490 Less , He Would Have Lost 2% . Find The Cost Price Of The Dog .

Answer 1

Please see the attachment

Answer 2

Cost price of dog would be Rs. 4083.33.

Step-by-step explanation:

Since we have given that

A Men Sells A Dog At A Gain Of 10%.

If he sells at loss of 2% , then he must sold it for Rs. 490 less.

Let the cost price of the dog be 'x'.

According to question, it becomes,

$\dfrac{100+10}{100}\times x-\dfrac{100-2}{100}x=490\\\\\dfrac{110}{100}x-\dfrac{98}{100}x=490\\\\1.1x-0.98x=490\\\\0.12x=490\\\\x=\dfrac{490}{0.12}\\\\x=4083.33$

Hence, Cost price of dog would be Rs. 4083.33.

# learn more:

A man sells a dog at a gain of 10% .Had he sold it for rs 490 he would have lost 2% .find the cost price of the dog.

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