Question Bank • QB_GA_068 NAT • 2 Marks

Section 8: General Aptitude

Quantitative Aptitude

Subtopic: Ratios & Percentages

Question Statement:

A merchant blends two varieties of tea costing Rs. $180/\text{kg}$ and Rs. $240/\text{kg}$ in the ratio $3 : 2$ by weight. If he sells the blended tea at Rs. $245/\text{kg}$, calculate his profit percentage.

Answer Key:

20.1

Step-by-Step Solution & Explanation

Cost price of $5\text{ kg}$ of blend ($3\text{ kg} + 2\text{ kg}$): $CP = (3 \times 180) + (2 \times 240) = 540 + 480 = 1020\text{ Rs}$ Average CP per kg: $CP_{\text{avg}} = \frac{1020}{5} = 204\text{ Rs/kg}$ Selling price $SP = 245\text{ Rs/kg}$. Profit percentage: $\text{Profit}\% = \frac{SP - CP}{CP} \times 100 = \frac{245 - 204}{204} \times 100 = \frac{41}{204} \times 100 \approx 20.098\%$
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