A number is divided into two parts. 40% of the first part exceeds 30% of the second part by 20, and 50% of the second part exceeds 25% of the first part by 25. Find the number. MCQ with Answer and Explanation
A number is divided into two parts. 40% of the first part exceeds 30% of the second part by 20, and 50% of the second part exceeds 25% of the first part by 25. Find the number.
A. 260
B. 300
C. 200
D. 240
Answer: Option A
Solution (By JKSSB Mock Tests)
Let parts x, y. 0.4x - 0.3y = 20 → 4x - 3y = 200. 0.5y - 0.25x = 25 → 20y - 10x = 1000 → 2y - x = 100. Solve: x = 2y - 100. Substitute: 4(2y-100)-3y=200 → 8y-400-3y=200 → 5y=600 → y=120, x=140, sum=260.
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