Sneha marks up an article 40% above the cost price and allows a discount of 10% on marked price. If Sneha made a profit of Rs. 364, then find the difference between both profits when he sold the same article at 25% profit?

The correct answer is 14.

Let the Cost Price (CP) of the article be $100x$.

According to the problem, the article is marked up by 40% above the Cost Price.
Marked Price (MP) = CP + 40% of CP
$MP=100x+40x=140x$

Next, a discount of 10% is allowed on the Marked Price.
Discount = 10% of MP
$\text{Discount}=0.10\times 140x=14x$

Selling Price (SP) = MP - Discount
$SP=140x-14x=126x$

The initial profit made is given as Rs. 364.
Initial Profit = SP - CP
$126x-100x=26x$
We are given:
$26x=364$
$x=\frac{364}{26}=14$

Therefore, the Cost Price of the article is:
$CP=100\times 14=1400$

Now, we need to find the profit if the article is sold at a 25% profit.
New Profit = 25% of CP
$\text{New Profit}=\frac{25}{100}\times 1400=350$
So, the new profit is Rs. 350.

Finally, we calculate the difference between both profits:
Difference = Initial Profit - New Profit
$\text{Difference}=364-350=14$

Thus, the difference between both profits is Rs. 14.