Question
Download Solution PDFA sum of Rs. 3,780 is divided between A, B and C such that if their shares are decreased by Rs. 130, Rs. 150 and Rs. 200, respectively, then they are in the ratio of 5 : 2 : 4. What is the original share of C?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven
sum divided between A, B and C is 3780
Calculation
let the share of A, B and C is 5x , 2x and 4x after decrease
so, original share of A, B and C is (5x + 130), (2x + 150) and (4x + 200)
5x + 130 + 2x + 150 + 4x + 200 = 3780
⇒ 11x + 480 = 3780
⇒ 11x = 3780 - 480
⇒ 11x = 3300
⇒ x = 300
Original share of C = (4x + 200)
⇒ (4 × 300 + 200)
⇒ 1200 + 200
⇒ 1400
∴ The original share of C is 1400.
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