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बट्टा Moderate Questions and Answers | Page - 1
बट्टा
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 ?
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∴ 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%
यदि छूट के साथ बिक्री 31 /2 % से घटाकर 31 /3 % कर दी जाती है , तो रु 12102 की खरीद पर कितना अंतर आएगा ?
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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
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 ?
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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।
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।
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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 %
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
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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 380वैकल्पिक 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 ।