every year before the festive season a brand store increases the price | Examsbook

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Q: Every year before the festive season, a brand store increases the price of the product by 42% and then introduce two successive discount of 10% and 11% respectively. What is percentage loss and percentage gain ?

1
3.25% loss
2
13.742% loss
3
3.25% gain
4
13.742% gain

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Answer : 4. "13.742% gain"
Explanation :
Answer: D) 13.742% gain Explanation: Let CP = 100,42 % increase => SP = 14210 % discount in SP => ((142 x 10)/100) = 14.2So 1st SP = (142 - 14.2) = 127.8, again 12 % discount in 1st SP ((127.8 x 11)/100) = 14.0582nd SP = (127.8 - 14.058) = 113.742, So finally CP = 100, SP = 113.742, => gain = 13.742%.

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