A table was sold at a profit of 10%. If its cost price was 5% less and it was sold for Rs. 7 more, the gain would have been 20%. Find the cost price of the table.

Rs. 175

Rs. 200

Rs. 250

Rs. 150

APEDIA

NTPC Graduate Tier 1

2016 • 02 Apr, 2016 • Shift 2

A table was sold at a profit of 10%. If its cost price was 5% less and it was sold for Rs. 7 more, the gain would have been 20%. Find the cost price of the table.

Correct Answer

Rs. 175

Variable Initialization: Let the original Cost Price (CP) of the table be 'x'. Initial Selling Price (SP) at 10% profit is 1.10x.Applying New Conditions: If CP ......

💡 Analysis & Explanation

Variable Initialization ▼

Let the original Cost Price (CP) of the table be 'x'. Initial Selling Price (SP) at 10% profit is 1.10x.

Applying New Conditions ▼

If CP is 5% less, the new CP is 0.95x. If sold for Rs. 7 more, the new SP is 1.10x + 7.

Formulating Profit Equation ▼

The new profit is given as 20% on the new CP. So, New SP = 1.20 * New CP.

Substitution and Execution ▼

1.10x + 7 = 1.20 * (0.95x). This translates to 1.10x + 7 = 1.14x. Subtracting 1.10x from both sides leaves 0.04x = 7.

Final Calculation ▼

x = 7 / 0.04 = 700 / 4 = 175.

Conclusion ▼

The original cost price of the table was unequivocally Rs. 175.

Choose Language

See you soon!

A table was sold at a profit of 10%. If its cost price was 5% less and it was sold for Rs. 7 more, the gain would have been 20%. Find the cost price of the table.