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Prize money of ₹7,500 is divided between two schools in the ratio 3 : 2. How many rupees MORE does the first school get than the second?

Class 8Linear Equations in One VariableLinear Equations
  • A4500
  • B1500
  • C3000
  • D1000

Step-by-Step Solution

Let the shares be ₹ and ₹. Then → → , so the shares are ₹4,500 and ₹3,000 and the difference is 4500 − 3000 = ₹1,500. Check: 4500 + 3000 = 7500. The traps 4500 and 3000 are the two shares themselves — the question asks for the gap between them.
Answer: B) 1500

Key idea: Translating word problems

Three steps:
1. **Pick a variable** for the unknown.
2. **Translate the words** into operations (sum, difference, product, quotient).
3. **Solve, then state the answer in the original units.**

Word clues: 'is/equals' = '='. 'sum' = +. 'difference' = −. 'product' = ×. 'quotient/per' = ÷. 'twice' = ×2. 'one more than' = +1. 'half of' = .

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