A shopkeeper offers successive discounts of 18% and 15% and sells the item for ₹34,850. What is its marked price (in ₹)?
- A47,500
- B50,000
- C46,350
- D51,500
Solution & Step-by-step Explanation
Let the Marked Price be MP.
Selling Price (SP) = ₹34,850
Successive discounts are 18% and 15%.
SP=MP×(1−
100
18
)×(1−
100
15
)
34850=MP×(
100
82
)×(
100
85
)
34850=MP×
50
41
×
20
17
34850=MP×
1000
697
MP=
697
34850×1000
Let's test division by 697:
697×5=3485
So, 34850/697=50.
MP=50×1000=₹50,000
Selling Price (SP) = ₹34,850
Successive discounts are 18% and 15%.
SP=MP×(1−
100
18
)×(1−
100
15
)
34850=MP×(
100
82
)×(
100
85
)
34850=MP×
50
41
×
20
17
34850=MP×
1000
697
MP=
697
34850×1000
Let's test division by 697:
697×5=3485
So, 34850/697=50.
MP=50×1000=₹50,000