Rehana went to a bank to withdraw ₹2,000. She asked the cashier to give her ₹50 and ₹100 notes only. Rehana got 25 notes in all. Find how many notes of ₹50 and ₹100 did she receive.
Generated by claude-sonnet-4-6 · 2026-06-15 10:33 · grounding rag
Model Answer
Let the number of ₹50 notes = x and number of ₹100 notes = y.
Equations formed:
$$x + y = 25 \quad \text{...(1)}$$
$$50x + 100y = 2000 \implies x + 2y = 40 \quad \text{...(2)}$$
Solving by elimination — Subtract (1) from (2):
$$(x + 2y) - (x + y) = 40 - 25$$
$$y = 15$$
Substituting y = 15 in (1):
$$x + 15 = 25 \implies x = 10$$
Rehana received 10 notes of ₹50 and 15 notes of ₹100.
Verification: 10 + 15 = 25 notes ✓ and 10 × 50 + 15 × 100 = 500 + 1500 = ₹2000 ✓
Source: Chapter 3, Exercise 3.3, Q2(iv)
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Explanation
- Form two equations first (total notes + total amount) — this earns the first mark.
- Solve using elimination or substitution — this earns the second mark.
- State the answer clearly with verification — this earns the third mark.
- Examiners expect you to show all steps; skipping the equation-formation step loses marks even if the answer is correct.