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 of the company.
किसी कंपनी का पाँच मदों A, B, C, D और E पर व्यय क्रमशः 3:5:7:11:? के अनुपात में है। E पर व्यय, A और D पर व्यय के अंकगणितीय माध्य के बराबर है। यदि C पर व्यय, B पर व्यय से ₹18,000 अधिक है, तो कंपनी का कुल व्यय ज्ञात कीजिए।
This Question Asked In:
SSC, CGL MAINS 2026
Correct Answer :C - ₹2,40,000
Detailed Text Solution
Let the common ratio be x.
A = 3x, B = 5x, C = 7x, D = 11x.
E is the arithmetic mean of A and D.
E = (3x + 11x)/2 = 14x/2 = 7x.
Thus ratio becomes 3x : 5x : 7x : 11x : 7x.
Given C exceeds B by ₹18,000.
7x − 5x = 2x = 18,000.
So, x = 9,000.
Total expenditure = (3 + 5 + 7 + 11 + 7)x
= 33x
= 33 × 9,000
= ₹2,97,000.