Rs. 5,000 is divided into two parts such that if one part is invested 4% and the other at 5%, then the whole annual interest from both the sums is Rs. 223. How much was invested at 4%?

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SSC CGL 2022 Tier-I Official Paper (Held On : 03 Dec 2022 Shift 1)
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  1. Rs. 2,600
  2. Rs. 2,700
  3. Rs. 2,400
  4. Rs. 2,300

Answer (Detailed Solution Below)

Option 2 : Rs. 2,700
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Detailed Solution

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Given:

Rs. 5,000 is divided into two parts such that if one part is invested 4% and the other at 5%

The whole annual interest from both sums is Rs. 223

Calculation:

Let the 1st investment be Rs x

So, the 2nd investment = Rs. (5000 - x)

According to the question,

x × 4/100 + (5000 - x) × 5/100 = 223

⇒ 4x/100 + 250 - 5x/100 = 223

⇒ 250 - 2235x/100 - 4x/100

⇒ 27 = x/100

⇒ x = 2700

So, 1st investment was Rs. 2700

∴ The required answer is Rs. 2700.

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