There is a horse and a saddle. The sum of their cost is Rs. 1100, and the cost…

CONCEPT: This is a linear system built from a known sum and a known difference of two related quantities — if two quantities have sum S and difference D (larger minus smaller = D), substituting the larger as (smaller + D) into the sum equation gives smaller = (S − D) / 2 and larger = (S + D) / 2.

Here, let the saddle's cost be x (in Rs.); since the horse costs Rs. 1000 more than the saddle, the horse's cost is x + 1000.

1. Sum equation: x + (x + 1000) = 1100

2. Combine like terms: 2x + 1000 = 1100

3. Isolate the variable term: 2x = 1100 − 1000 = 100

4. Solve for x: x = 50

So the saddle costs Rs. 50, and the horse costs Rs. 50 + 1000 = Rs. 1050.

Check: Rs. 50 + Rs. 1050 = Rs. 1100 (matches the given total), and Rs. 1050 − Rs. 50 = Rs. 1000 (matches the given difference), confirming the saddle costs Rs. 50.