একজন দোকানদার 2,750 টাকা চিহ্নিত একটি ঘড়িতে পরপর দুটি ছাড় দিচ্ছে। প্রদত্ত প্রথম ছাড় হল 10%, গ্রাহক যদি ঘড়ির জন্য 2,103.75 টাকা দেন, তাহলে দ্বিতীয় ছাড় কত?

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SSC CGL 2022 Tier-I Official Paper (Held On : 02 Dec 2022 Shift 4)
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  1. 15%
  2. 30%
  3. 12%
  4. 10%

Answer (Detailed Solution Below)

Option 1 : 15%
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Detailed Solution

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প্রদত্ত:

প্রদত্ত প্রথম ছাড় হল 10%

ঘড়ির চিহ্নিত মূল্য = 2750 টাকা 

অনুসৃত ধারণা:

বিক্রয় মূল্য = চিহ্নিত মূল্য × (100 - ছাড়)%

গণনা:

1ম ছাড়ের পরে = 2750 × 90%

⇒ 2475

ধরা যাক, দ্বিতীয় ছাড় a% 

প্রশ্ন অনুযায়ী,

2475 × (100 - a)% = 2103.75

⇒ (100 - a)/100 = 2103.75/2475

(100 - a)/100 = 210375/247500

(100 - a) = 210375/2475

(100 - a) = 187/2.2

⇒ 220 - 2.2a = 187

⇒ 220 - 187 = 2.2a

⇒ 33 = 2.2a

⇒ 15 = a

অতএব, দ্বিতীয় ছাড় হল 15%

দ্বিতীয় ছাড় হল 15%

Shortcut Trick

আমরা জানি, 10% = 1/10

1ম ছাড়ে MP = 10 এবং SP = 9

ধরা যাক, 2য় ছাড় MP = x SP = y

  MP  SP
1ম ছাড় 10 9
2য় ছাড়  x y
চূড়ান্ত  2750 2103.75

অতএব, x : y = (9 × 2750) : (10 × 2103.75) = 20 : 17

সুতরাং, 2য় ছাড় হবে 3/20 × 100 = 15%

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