Question

Manoj sold an article for Rs. 15000. Had he offered a discount of 10% on the selling price, he would have

earned a profit of 8%. What is the cost price​

Answer 1

Answer: Rs 12500

Step-by-step explanation:

I have explained in two method, I hope both will help

Method 1 :

Let the cost price be x.  

As 90% of 15000 = 108% of x .  

= x = 90×15000/ 108  

=> x = Rs.12500

Method 2 :

The discount on selling price, so 10% of Rs. 15000 will be Rs. 1500.  

So S.P. = 15000–1500 = Rs. 13500.  

Also, profit percent is 8% if the article is sold at Rs. 13500 so 108% of C.P. will be equal to 13500.  

i.e. 108/100 x C.P. = 13500

we will get C.P. = 12500.

I hope the above explanation will help. Again it depend what method you prefer. At the end what matters is speed and correct answer.

Answer 2

Answer:

Rs. 12500

Step-by-step explanation:

Let the cost price be denoted by $x$

If the article were to be sold at a discount of 10%, the amount would be;

$\frac{(100-10)}{100}*15000=13500$

If this amount implies a profit of 8%, then it can be expressed in terms of cost price as

$\frac{(100+8)}{100}*x=1.08x$

Equating the two amounts we get

$1.08x=13500\\\frac{1.08x}{1.08}=\frac{13500}{1.08} \\x=12500$

Therefore, the cost price is Rs. 12500