At simple interest a sum of Rs. 6,400 becomes Rs. 8,320 in 3 years. What will Rs. 7,200 become in 5 years at the same rate? 

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SSC CGL 2023 Tier-I Official Paper (Held On: 21 Jul 2023 Shift 1)
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  1. Rs. 10,200
  2. Rs. 10,600
  3. Rs. 10,800
  4. Rs. 10,400

Answer (Detailed Solution Below)

Option 3 : Rs. 10,800
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Detailed Solution

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Given:

On simple interest, a sum of Rs. 6400 becomes Rs. 8320 in 3 years.

Concept used:

S.I = (P × T × R)/100

P = Sum

T = Time

R = Rate

Calculation:

Interest for 3 years = 8320 - 6400

⇒ 1920

Let the interest be x%

Now,

1920 = (6400 × 3 × x)/100

⇒ 192x = 1920

⇒ x = 10

Now,

S.I = (P × T × R)/100

= (7200 × 5 × 10)/100

⇒ 3600

So, amount = 7200 + 3600

⇒ 10800

∴ The required answer is Rs. 10800.

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