If a shopkeeper gives two successive discounts of 50% and 20% on a mattress, whose marked price is ₹72,580, what would be its selling price (in ₹) and the discount (in ₹), respectively?
- A29,032 and 36,290
- B36,290 and 29,032
- C29,032 and 43,548
- D43,548 and 29,032
Solution & Step-by-step Explanation
Marked Price (MP) = ₹72,580
The single equivalent discount for two successive discounts of 50% and 20% is given by the formula:
Equivalent Discount=x+y−
100
xy
Equivalent Discount=50+20−
100
50×20
=70−10=60%
Now, calculate the selling price (SP):
SP=MP×(1−
100
Equivalent Discount
)
SP=72580×(1−
100
60
)=72580×
100
40
=7258×4=29032
Now, calculate the total discount:
Discount=MP−SP=72580−29032=43548
Therefore, the selling price is ₹29,032 and the discount is ₹43,548.
The single equivalent discount for two successive discounts of 50% and 20% is given by the formula:
Equivalent Discount=x+y−
100
xy
Equivalent Discount=50+20−
100
50×20
=70−10=60%
Now, calculate the selling price (SP):
SP=MP×(1−
100
Equivalent Discount
)
SP=72580×(1−
100
60
)=72580×
100
40
=7258×4=29032
Now, calculate the total discount:
Discount=MP−SP=72580−29032=43548
Therefore, the selling price is ₹29,032 and the discount is ₹43,548.