# Two partners X and Y invested a total of Rs. 88000 in their business for 3 months. Y then, decreased his amount by half for the next 9 months. X inves

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Two partners X and Y invested a total of Rs. 88000 in their business for 3 months. Y then, decreased his amount by half for the next 9 months. X invested 9000 more in the next 9 months. The ratio of their profit is 187/120. Find initial amount invested by Y?
1. 56000
2. 23100
3. 48000
4. 44000

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Correct Answer - Option 3 : 48000

Given:

Two partners X and Y invested a total of Rs. 88000 in their business for 3 months. Y then, decreased his amount by half for the next 9 months. X invested 9000 more in the next 9 months. The ratio of their profit is 187/120.

Formula:

Ratio of Profit = ratios of product of Amount invested and time

Calculation:

X                      :           y

(88000 - x)       :           x

ATQ,

(88000 – x) × 3 + (88000 – x + 9000) × 9/ (3x + x/2 × 9) = 187/120

264000 – 3x + 873000 – 9x/ 7.5x = 187/120

136440000 – 1440x = 1402.5x

136440000 = 2842.5x

x = 48000