Discussion Forum : True Discount
Question -
Maha Bazaar offers 20% discount on bags which have been marked 50% above the cost price. Amarnath pays Rs.840 for a bag. Then the cost price of the bag is
Answer: Option A
Answer: (a)Let the cost price be Rs.100.Marked price = Rs.150S.P. = ${150 × 80}/100$ = Rs.120when S.P. = 120, C.P. = Rs.100when S.P. = 840C.P.= $100/120 × 840$ = Rs.700Using Rule 8,Here, r = 50%, $r_1$ = 20%, S.P. = Rs.840Gain % = ${r × (100 - r_1)}/100 - r_1$= ${50 × (100 - 20)}/100 - 20$= ${50 × 80}/100 - 20$= 20%We know thatGain % = $\text"S.P. - C.P."/{C.P.} ×100$20 = $({840 - x}/x) × 100$20x= 84000 - 100x120x = 84000x = 700∴ C.P. = Rs.700
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Answer: (a)Let the cost price be Rs.100.Marked price = Rs.150S.P. = ${150 × 80}/100$ = Rs.120when S.P. = 120, C.P. = Rs.100when S.P. = 840C.P.= $100/120 × 840$ = Rs.700Using Rule 8,Here, r = 50%, $r_1$ = 20%, S.P. = Rs.840Gain % = ${r × (100 - r_1)}/100 - r_1$= ${50 × (100 - 20)}/100 - 20$= ${50 × 80}/100 - 20$= 20%We know thatGain % = $\text"S.P. - C.P."/{C.P.} ×100$20 = $({840 - x}/x) × 100$20x= 84000 - 100x120x = 84000x = 700∴ C.P. = Rs.700
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