Mahesh bought some quantity of barley for ₹7,704. Half of it is sold at a…
2026
Mahesh bought some quantity of barley for ₹7,704. Half of it is sold at a profit of 44%. If Mahesh wishes to make a profit of 47% on the whole, find the selling price (in ₹) of the remaining barley.
Answer: C. 5,778 — ConceptWhen equal portions of an item have equal cost, the cost price of each half is half of the total cost price. For a target profit rate p%, required…
- A.
6,747
- B.
6,773
- C.
5,778
- D.
5,161
Attempted by 21 students.
Show answer & explanation
Correct answer: C
Concept
When equal portions of an item have equal cost, the cost price of each half is half of the total cost price.
For a target profit rate p%, required total selling price = total cost price × (1 + p/100). The unsold portion must supply the difference between this target and the selling price already received.
Application
Total cost price = ₹7,704, so the cost price of each half = ₹7,704 ÷ 2 = ₹3,852.
Selling price of the first half at 44% profit = ₹3,852 × 1.44 = ₹5,546.88.
Required total selling price for a 47% overall profit = ₹7,704 × 1.47 = ₹11,324.88.
Selling price required for the remaining half = ₹11,324.88 − ₹5,546.88 = ₹5,778.
Cross-check
Total selling price becomes ₹5,546.88 + ₹5,778 = ₹11,324.88.
Total profit = ₹11,324.88 − ₹7,704 = ₹3,620.88, and ₹3,620.88 ÷ ₹7,704 = 0.47 = 47%. Therefore, the remaining barley should be sold for ₹5,778.