Kamlesh buys some sarees and suits for ₹10,000. The cost of each saree is ₹1,500, and the cost of each suit is ₹1,000. The total number of sarees and suits is 8. Find the number of suits and sarees.

4 sarees and 4 suits

3 sarees and 5 suits

2 sarees and 6 suits

5 sarees and 3 suits

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NTPC Graduate Tier 1

2025 • 05 Jun, 2025 • Shift-2

Kamlesh buys some sarees and suits for ₹10,000. The cost of each saree is ₹1,500, and the cost of each suit is ₹1,000. The total number of sarees and suits is 8. Find the number of suits and sarees.

Correct Answer

4 sarees and 4 suits

Variable Assignment: Let the quantity of sarees purchased be 'x' and the quantity of suits be 'y'.Equation Formulation: We extract two distinct mathematical equ......

💡 Analysis & Explanation

Variable Assignment ▼

Let the quantity of sarees purchased be 'x' and the quantity of suits be 'y'.

Equation Formulation ▼

We extract two distinct mathematical equations from the problem. The total count yields: x + y = 8. The total financial expenditure yields: 1500x + 1000y = 10000.

System Simplification ▼

Divide the financial equation by 500 to reduce complexity, resulting in 3x + 2y = 20. Multiply the count equation by 2 to align the variables: 2x + 2y = 16.

Algebraic Resolution ▼

Subtract the aligned count equation from the simplified financial equation: (3x - 2x) + (2y - 2y) = 20 - 16. This elegantly resolves to x = 4. Substituting back, y = 8 - 4 = 4.

Conclusion ▼

The purchase consisted of exactly 4 sarees and 4 suits.

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Kamlesh buys some sarees and suits for ₹10,000. The cost of each saree is ₹1,500, and the cost of each suit is ₹1,000. The total number of sarees and suits is 8. Find the number of suits and sarees.