Archana took a loan of ₹78,000 from a bank on 24th January 2012 at % per annum simple interest and paid it back on 18th June 2012. Find the total amount paid by Archana. (Approximated to nearest integer)

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SSC CGL 2023 Tier-I Official Paper (Held On: 19 Jul 2023 Shift 3)
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  1. ₹80,723
  2. ₹90,730
  3. ₹85,733
  4. ₹88,730

Answer (Detailed Solution Below)

Option 1 : ₹80,723
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SSC CGL Tier 1 2025 Full Test - 01
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Detailed Solution

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Given : 

Principal = Rs.78000

Time = 146 days

Rate = 35/4 %

Formula Used : 

SI = (P × R × T)/100

Calculation : 

Jan. = 8 days 

Feb. = 29 days

March = 31 days

April = 30 days

May = 31 days

June = 17 days ----(not 18 because she paid it back on 18th June)

So, 8 + 29 + 31 + 30 + 31 + 17 = 146 days

⇒ SI = 78000 × 35/4 × 146/366 × 1/100

⇒ SI = 3985800/1464 = 2722.54098

Amount = 78000 + 2722.54098 = 80722.541

Amount = Rs.80723

∴ The correct answer is Rs.80723.

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