Correct Answer - Option 3 : 40000
Given:
X and Y invested a total of Rs. 65200 in their business for 4 months.
X then, decreased his amount by Rs. 10000 for the next 8 months.
Y increased his amount by Rs. 12000 for the next 8 months.
The ratio of their profit is 250/249.
Formula Used:
Ratio of Profit = ratios of product of Amount invested and time
Calculation:
Let X invested Rs. X and Y invested Rs. (65200 – x)
X y
X [For 4 months] (65200 – x) [For 4 months]
(x – 10000) [For next 8 months] (77200 – x) [For next 8 months]
⇒ {x × 4 + (x - 10000) × 8}/{4 × (65200 - x) + (77200 - x) × 8} = 250/249
⇒ (12x - 80000)/(878400 – 12x) = 250/249
⇒ x = 40000
∴ Initial amount invested by X was Rs. 40000
