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Rehana buys 2 shirts and 3 ties for ₹1600. At the same shop, 3 shirts and 2 ties cost ₹1900. How much would 1 shirt and 1 tie cost together (in ₹)?

Class 10Pair of Linear Equations in Two VariablesAlgebra — Systems of Equations
  • A₹3500
  • B₹700
  • C₹500
  • D₹1750

Step-by-Step Solution

With shirt = and tie = and . Adding gives , so straight away. (Subtracting gives , so and — check ✓.) ₹500 is the price of one shirt alone, and ₹3500 is the sum before dividing by 5.
Answer: B) ₹700

Key idea: Word problems and translation

Most Class 10 questions on this topic are word problems. The skill is in TRANSLATION:

1. Identify the two unknowns; assign variables (e.g., let = age of A, = age of B).
2. Write two equations from the two given pieces of information.
3. Solve by your preferred method.

**Common types**:
- **Age problems**: 'Father is twice as old as son. Five years ago father was three times. Find ages.'
- **Number problems**: 'A two-digit number plus its reverse is 99...'
- **Distance/time/speed**: 'Boat in still water speeds, downstream/upstream rates...'
- **Cost problems**: 'Cost of pencils and pens.'
- **Fraction problems**: 'A fraction becomes 1/2 when 1 is added to numerator and 2 is subtracted from denominator...'

Always CHECK by substituting solution back into the original word problem (not just the equations).

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