Question : Two shopkeepers announced the same price of Rs. 700 for a sewing machine. The first offers successive discounts of 30% and 6%, while the second offers successive discounts of 20% and 16%. The difference in their selling prices is:
Option 1: Rs. 9.80
Option 2: Rs. 16.80
Option 3: Rs. 22.40
Option 4: Rs. 36.40
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Correct Answer: Rs. 9.80
Solution :
The price of the sewing machine = Rs. 700
Single discount of 30% and 6% = $30+6-\frac{30\times 6}{100} = 36-1.8 =34.2\%$
Single discount of 20% and 16% = $20+16-\frac{20\times 16}{100} = 36-3.2 =32.8\%$
Difference of discount percentage = $34.2 -32.8 =1.4\%$
$\therefore$ The difference in their selling prices = 1.4% of 700 = Rs. 9.80
Hence, the correct answer is Rs. 9.80.
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