What is the rate of interest per annum for simple interest at which Rs. 880 amounts to Rs. 913 in 1 years?

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SSC CGL 2022 Tier-I Official Paper (Held On : 12 Dec 2022 Shift 2)
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  1. %
  2. %
  3. %
  4. %

Answer (Detailed Solution Below)

Option 3 : %
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SSC CGL Tier 1 2025 Full Test - 01
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Detailed Solution

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Given:

Principal of Rs. 880 amounts to Rs. 913 in 1 i.e. 1.5 years.

Concept used:

Simple Interest, SI = (P × R × T)/100

Amount = P + SI

where

P = Principal amount

R = Rate of interest per year

T = Time in years

Calculation:

Let the rate of interest be R% p.a.

​According to the concept,

880 + (880 × R × 1.5)/100 = 913

⇒ (880 × R × 1.5)/100 = 913 - 880

⇒ R = (33 × 100) ÷ (880 × 1.5)

⇒ R = 2.5

⇒ R = 

∴ The rate of interest is %.

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