The expenditure of a company on five heads A, B, C, D and E is in proportion to 3 : 5 : 7 : 11: ? respectively. The expenditure on E is equal to the arithmetic mean of the expenditures on A and D. If the expenditure on C exceeds that on B by ₹18,000, find the total expenditure (t) of the company.
Show answer & explanation
Correct answer: C
Explanation
The correct answer is Option 3 i.e. ₹2,97,000.
Let expenditure ratio part of E = x
A : B : C : D : E = 3 : 5 : 7 : 11 : x
E = (3k + 11k)/2 = 14k/2 = 7k
⇒ x = 7
A : B : C : D : E = 3 : 5 : 7 : 11 : 7
Total ratio parts = 3 + 5 + 7 + 11 + 7 = 33
C - B = 7 - 5 = 2 parts
2 parts = 18000
1 part = 18000/2 = 9000
Total expenditure = 33 parts = 33 × 9000 = 297000