Exams › IBPS PO › Quantitative Aptitude
Directions (78–79): Read the following table carefully and answer the questions given below. Two shops X and Y sell two different articles, R and T, and each article is marked up and then sold after giving a certain discount. The table shows the cost price, marked price, and relation between variables $a$ and $b$ for both shops, along with the discount given at different times. Note: The relationship between $a$ and $b$ for both shops is different. | Article | Cost price (Rs.) | Marked price (Rs.) | |---|---:|---:| | R | $5000 + a$ | $12b$ | | T | $8000 + a$ | $25b$ | | Shop | Relation between $a$ and $b$ | |---|---| | X | $a = 3b$ | | Y | $3a = 10b$ | | Time | Discount offered by both shops (Rs.) | |---|---| | 1:30 pm | $a/5$ | | 2:30 pm | $b/5$ | | 3:30 pm | $(a+b)/5$ | The profit percentage earned by shop X on selling article R at 1:30 pm is 42.5%. Find the profit percentage by the same shop on selling article T at 2:30 pm. A) 125.45% B) 110.50% C) 92.33% D) 87.50% E) 115.25%
- 125.45%
- 110.50%
- 92.33%
- 87.50%
- 115.25%
Correct answer: 87.50%
Solution
The profit percentage on article R at 1:30 pm fixes the relation between cost price, marked price, and discount, which helps determine $a$ and $b$ for shop X. Then the selling price of article T at 2:30 pm is found using the discount $b/5$, and comparing it with the cost price gives 87.5%.
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