Discussion
Cost price of two bags is in ratio 4 : 5 and these bags are sold at 10% profit and 20% profit respectively. Find overall profit percentage in the entire transaction.
Answer: A
The overall profit is \(15\frac{5}{9}\)%.
Take the cost prices as ₹ 400 and ₹ 500 (ratio 4 : 5) and apply each profit:
\[ \begin{aligned} SP &= 440 + 600 = 1040 \\ CP &= 400 + 500 = 900 \\ \text{Profit \%} &= \frac{140}{900} \times 100 \\ &= 15\tfrac{5}{9}\% \end{aligned} \]
The trap is to average the two rates to 15%, which ignores that the second bag cost more and so carries more weight. The other fractional options do not come from any correct weighting of 10% and 20% in the ratio 4 : 5.
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