Multiple choice

A sum is divided among P, Q and R such that if their respective shares are increased by Rs. 120, Rs. 150 & Rs. 90 respectively, their shares becomes in the ratio (9 : 8 : 6) & the total amount becomes Rs. 2300. Then initial shares were in the ratio of ?

  1. 6 : 5 : 4

  2. 78 : 65 : 51

  3. 71 : 63 : 57

  4. 7 : 6 : 5

  5. 39 : 32 : 27
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Let initial shares be 9x-120, 8x-150, 6x-90 (to become 9:8:6 after increases). Total: 9x-120+8x-150+6x-90 = 23x-360 = 2300. So 23x = 2660, x ≈ 115.65. Initial shares: 9(115.65)-120 ≈ 920.85, 8(115.65)-150 ≈ 775.2, 6(115.65)-90 ≈ 603.9. Ratio ≈ 920.85:775.2:603.9 ≈ 78:65.6:51.1 ≈ 78:65:51. Option B matches.

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