12%, 20% और 25% की क्रमिक छूट का मान निम्नलिखित में से किस एक एकल छूट के बराबर है?

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SSC CGL 2023 Tier-I Official Paper (Held On: 17 Jul 2023 Shift 2)
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  1. 52.2%
  2. 49.5%
  3. 47.2%
  4. 57.0%

Answer (Detailed Solution Below)

Option 3 : 47.2%
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Detailed Solution

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दिया गया है:

पहली छूट (D1) = 12% 

दूसरी छूट (D2) = 20%

तीसरी छूट (D3) = 25%

प्रयुक्त अवधारणा:

छूट (D%) = अंकित मूल्य (M.P) : विक्रय मूल्य (S.P)

⇒ 100 : (100 - D%)

गणना:

पहली छूट (D1) = 12%

M.P : S.P = 100 : 88 = 25 : 22

दूसरी छूट (D2) = 20%

M.P : S.P = 100 : 80 = 5 : 4

तीसरी छूट (D3) = 25%

M.P : S.P = 100 : 75 = 4 : 3

छूट M.P S.P
12% 25 22
20% 5 4
25% 4 3
प्रभावी छूट 125 66

अब,

M.P : S.P = 125 : 66

प्रभावी छूट = (59 × 100)/125

⇒ (59 × 4)/5

⇒ 236/5 = 47.2%

∴ सही उत्तर 47.2% है।

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