The marked price of a TV is ₹50,000. The difference between a single discount of 30% and two successive discounts of 25% and 6% on this deal is:
- A₹250
- B₹300
- C₹125
- D₹500
Solution & Step-by-step Explanation
First Discount Option:
Discount
1
=30%
Second Discount Option (Successive discounts of 25% and 6%):
Effective Discount
2
=x+y−
100
xy
Effective Discount
2
=25+6−
100
25×6
=31−1.5=29.5%
Difference between the two discount percentages:
Difference=30%−29.5%=0.5%
Difference in value on ₹50,000:
Difference Amount=0.5% of 50,000=
100
0.5
×50,000=₹250
Discount
1
=30%
Second Discount Option (Successive discounts of 25% and 6%):
Effective Discount
2
=x+y−
100
xy
Effective Discount
2
=25+6−
100
25×6
=31−1.5=29.5%
Difference between the two discount percentages:
Difference=30%−29.5%=0.5%
Difference in value on ₹50,000:
Difference Amount=0.5% of 50,000=
100
0.5
×50,000=₹250