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बट्टा Moderate Questions and Answers | Page - 1

बट्टा


प्रतियोगी गणित

  1. एक दुकानदार ने रु 200 अंकित मूल्य वाली मेज को क्रमशः 10% तथा 15% की छूट पर खरीदा। उसने ट्रांसपोर्ट पर रु 7 खर्च किए तथा मेज को रु 208 में बेच दिया ! उसका लाभ प्रतिशत कितना है ?











  1. सुझाव देखें उत्तर देखें चर्चा करें

    ∴ 10% और 15% के समतुल्य एकल बट्टा = ( x + y - xy/100 ) % ( फार्मूला से )


    ∴ प्रतिशत लाभ = ( लाभ /क्रय मूल्य ) x 100 %

    सही विकल्प: C

    ∴ 10% और 15% के समतुल्य एकल बट्टा = ( x + y - xy/100 ) % ( फार्मूला से )
    = [ 10 + 15 - ( 10 x 15 )/100 ]
    = [ 25 - 150/100 ] = [ 25 - 1.5 ] = 23.50%
    दिया है , अंकित मूल्य = रु 200
    छूट = 23.50 %
    परिवहन पर खर्च = रु 7
    क्रय मूल्य CP = 200 का ( 100 - 23.50 )% + 7 = ( 200 x 76.5% ) + 7
    = ( 200 x 76.5/100 ) + 7 = ( 2 x 76.5 ) + 7 = 153 + 7 = रु 160
    विक्रय मूल्य SP = रु 208
    लाभ = SP - CP = 208 - 160 = 48
    ∴ प्रतिशत लाभ = ( लाभ /क्रय मूल्य ) x 100 %
    = ( 48/160 ) x 100 % = 3 x 10 = 30%


  1. यदि छूट के साथ बिक्री 31/2% से घटाकर 31/3% कर दी जाती है , तो रु 12102 की खरीद पर कितना अंतर आएगा ?









  1. सुझाव देखें उत्तर देखें चर्चा करें

    प्रतिशत छूट में अंतर = 31/2% - 31/3%
    ∴ अंतर = क्रय मूल्य का ( 1/6 ) %

    सही विकल्प: A

    प्रतिशत छूट में अंतर = 31/2% - 31/3%
    = ( 7/2 )% - ( 10/3 )% = ( 21 - 20 )/6 = ( 1/6 )%
    क्रय मूल्य = रु 12102
    ∴ अंतर = क्रय मूल्य का ( 1/6 ) % = 12102 x 1/6 % = रु 20.17



  1. एक आदमी ने मूल कीमत पर 25% छूट पर एक घडी खरीदी। उसने जिस कीमत पर घडी खरीदी उसके 140% पर उसे बेचने पर उसे मूल कीमत से रु 40 अधिक मिले। घडी खरीदने की कीमत क्या थी ?









  1. सुझाव देखें उत्तर देखें चर्चा करें

    माना घडी की मूल कीमत = रु Q
    प्रश्नानुसार , ( Q - Q × 25% ) x 140/100 = Q + 40

    सही विकल्प: A

    माना घडी की मूल कीमत = रु Q
    प्रश्नानुसार , ( Q - Q × 25% ) x 140/100 = Q + 40
    ⇒ ( 3Q/4 ) x ( 7/5 ) = Q + 40
    ⇒ ( 21Q/20 ) - Q = 40
    ⇒ ( 21Q - 20Q )/20 = 40
    ⇒ Q = 40 x 20 = रु 800
    अतः घडी की मूल कीमत = रु 800 होगी।


  1. अजीत किसी सामान को उसके अंकित मूल्य से 121/2% छूट पर खरीदता है। वह इस सामान को इसके अंकित मूल्य से 171/2% लाभ पर बेचता है। अजीत का लाभ प्रतिशत ज्ञात कीजिए।









  1. सुझाव देखें उत्तर देखें चर्चा करें

    माना वस्तु का अंकित मूल्य = रु 100
    ∴ प्रतिशत लाभ = ( लाभ /क्रय मूल्य ) x 100 %

    सही विकल्प: C

    माना वस्तु का अंकित मूल्य = रु 100
    अजीत के लिए क्रय मूल्य = 100 - ( 100 x 121/2% ) = ( 100 - 12.5 ) = रु 87.5
    171/2%लाभ पर , वस्तु का विक्रय मूल्य = 100 + ( 100 x 171/2% ) = 100 + 171/2 = 100 + 17.5 = रु 117.5
    लाभ = विक्रय मूल्य - क्रय मूल्य = 117.5 - 87.5 = रु 30
    ∴ प्रतिशत लाभ = ( लाभ /क्रय मूल्य ) x 100 %
    = ( 30/87.5 ) x 100 % = 342/7%



  1. एक वस्तु का अंकित मूल्य रु 500 है। दुकानदार 5% की छूट देता है और फिर भी 25% का लाभ कमाता है। वस्तु का क्रय मूल्य है









  1. सुझाव देखें उत्तर देखें चर्चा करें

    माना वस्तु का क्रय मूल्य = रु P
    ∴ अंकित मूल्य = क्रय मूल्य [ (100 + R )/( 100 - r ) ] ( फॉर्मूला से )

    सही विकल्प: C

    माना वस्तु का क्रय मूल्य = रु P
    लाभ = 25%
    वस्तु का विक्रय मूल्य = P × ( 100 + 25 )/100 = P × 5/4 = रु 5P/4
    प्रश्नानुसार , ( 5P/4 ) = 500 x ( 100 - 5 )/100
    ⇒ 5P/4 = 500 x 19/20
    ⇒ 5P/4 = 25 x 19
    ⇒ P = ( 25 x 19 x 4 )/5 = 19 x 20 = रु 380
    ∴ वस्तु का क्रय मूल्य = रु 380

    वैकल्पिक विधि
    यहाँ , r = 5% छूट तथा R = 25% लाभ
    ∴ अंकित मूल्य ( MP ) = ( CP )क्रय मूल्य [ (100 + R )/( 100 - r ) ] ( फॉर्मूला से )
    ⇒ 500 = ( CP )क्रय मूल्य [ (100 + 25 )/( 100 - 5 ) ]
    ⇒ 500 = CP [ 125/95 ]
    ⇒ 500 = CP [ 25/19 ]
    ⇒ CP = ( 500 x 19 )/25 = 20 x 19 = 380
    अतः वस्तु का क्रय मूल्य = रु 380 होगा ।