A sum of Rs3 780 is divided between A Band C such that if their shares are decreased by Rs130 Rs150 ...........

Quantitative Aptitude (MTS) Ratio, Proportion

A sum of Rs3,780 is divided between A, Band C such that if their shares are decreased by Rs130, Rs150 and Rs200, respectively,

then they are in the ratio of 5 : 2 : 4. What is the original share of C?

This questions was previously asked in

SSC MTS 6th October 2021 Shift-3

Rs1,350

Rs1,330

Rs1,400

Rs1,430

- The problem involves dividing Rs3,780 among A, B, and C.

- After decreasing their shares by Rs130, Rs150, and Rs200, the new ratio becomes 5:2:4.

- Let the original shares be A, B, and C.

- The equation after decrease: (A - 130)/(B - 150)/(C - 200) = 5/2/4.

- The sum of reduced shares: (A-130) + (B-150) + (C-200) = Rs3,780 - Rs480 = Rs3,300.

- Solving these ratios and equations gives the original shares.

- The calculations show the original share for C is Rs1,400.

- Option 3: Rs1,400 is the correct answer.

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