# X and Y invested the amount for a year in ratio 5 : 4. If the next year X invest 20% more money and Y took back 10% of his investment and X gets Rs. 2

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X and Y invested the amount for a year in ratio 5 : 4. If the next year X invest 20% more money and Y took back 10% of his investment and X gets Rs. 2200 of the total profit. Then find the profit of  Y.

1. Rs. 2200
2. Rs. 1520
3. Rs. 1420
4. Rs. 1220
5. Rs. 1330

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Correct Answer - Option 2 : Rs. 1520

Given :

X and Y invest money 5 : 4 in one year and also given the profit of X  Rs. 2200

Formula used

Total profit = (A's share × Time) + (B's share × Time)

Calculation:

Let X invest be 500 unit and Y invest be 400 unit

According to question,

⇒ In first year = 500 unit × 1 year : 400 unit × 1 year

In second year X invest 20% more in  previous year  and Y invest 10%  took back in previous year

⇒ X invest = [(500 × 1) + {(500 × 120) /100 } × 1 ]

⇒ 500 + 600

⇒ 1100 Unit

⇒ Y invest = [(400 × 1) + {(400 × 90) / 100 } × 1 ]

⇒ 400 + 360

⇒ 760 unit

⇒ Profit of X and Y = 1100 unit and 760 unit

We have given

⇒ Profit of X  is Rs. 2200 = 1100 unit

⇒ 1 unit =  Rs. 2

⇒ Profit of  Y = 760 unit × 2 = Rs. 1520

∴  Profit of Y is Rs. 1520