The bar graph shows the total item manufactured by four companies A, B, C and…
2025
The bar graph shows the total item manufactured by four companies A, B, C and D. It also shows the total item sold by these companies.
If the total selling price of all the sold items of B is Rs.15200, then find the cost price of 25% of items manufactured by B.
- A.
4200
- B.
2000
- C.
4000
- D.
3200
- E.
2200
Show answer & explanation
Correct answer: A
Concept: For any item, Profit = Selling Price (SP) minus Cost Price (CP), so CP per item = SP per item minus Profit per item. To find the cost price of a given percentage of a batch of manufactured items, first find the CP of one item, then find how many items that percentage represents, and multiply the two.
Application: Reading the graph and note for Company B, and working through the calculation step by step:
From the bar graph, Company B manufactured 96 items and sold 76 items.
The total selling price of all 76 sold items is Rs. 15200, so the selling price per item = 15200 divided by 76 = Rs. 200.
From the note below the graph, the profit per item for Company B is Rs. 25, so the cost price per item = 200 minus 25 = Rs. 175.
25% of the 96 manufactured items = 0.25 times 96 = 24 items.
Cost price of these 24 items = 24 times 175 = Rs. 4200.
Cross-check: The cost price of all 96 manufactured items = 96 times 175 = Rs. 16800. 25% of Rs. 16800 = Rs. 4200, the same result reached by a different route, confirming the answer.