a man sold an article at a profit of 25%. if he had bought it at 10% less and sold for 10RS more, the gain would have been 40%. find its cost price

a.800
c.960
c.1000
d.1080
e.none

plz answer this

S = sale price.

C = cost.
(S - C)/C = 0.25
(rewrite as S = 1.25 C;

(S + 10 -0.9C)/(0.9C) = 0.40

Solve for C

0.35C + 10 = 0.36 C
0.01C = 10
C = 1000 Rupees

500

To solve this problem, we can follow these steps:

Step 1: Let's assume the cost price (CP) of the article is x.

Step 2: The man sold the article at a profit of 25%. So, the selling price (SP) can be calculated using the formula:
SP = CP + (Profit% * CP)
= x + (0.25 * x)
= x + 0.25x
= 1.25x

Step 3: Now, if he had bought it at 10% less (0.90x) and sold it for 10 RS more (SP + 10), the gain would have been 40%. We can calculate the selling price in this scenario:
SP + 10 = (CP - 0.10x) + (Profit% * (CP - 0.10x))
= (x - 0.10x) + (0.40 * (x - 0.10x))
= 0.90x + 0.40(x - 0.10x)
= 0.90x + 0.40(0.90x)
= 0.90x + 0.36x
= 1.26x

Step 4: Since the selling price in both scenarios should be the same:
1.25x = 1.26x

Step 5: Solve the above equation:
1.25x - 1.26x = 0
-0.01x = 0
x = 0/-0.01
x = 0

Step 6: The cost price (CP) cannot be zero, which means our assumption in Step 1 is incorrect.

Therefore, there must be an error in the problem statement or options provided.

None of the options (a.800, c.960, c.1000, d.1080, e.none) are the correct answer since the problem is not solvable with the given information.