A shopkeeper offers a cash discount of ₹275 first and then three successive discounts of 10%, 8% and 5% on the sale of a laptop. If the marked price of the laptop is ₹85,275, find its price for a customer.
- A₹65,561
- B₹66,561
- C₹65,861
- D₹66,861
Solution & Step-by-step Explanation
Given:
Marked Price (MP) = ₹85,275
Initial cash discount = ₹275
Price after the cash discount:
Price
1
=85275−275=₹85,000
Now, three successive discounts of 10%, 8%, and 5% are applied on this price:
Final Price=85000×(1−
100
10
)×(1−
100
8
)×(1−
100
5
)
Final Price=85000×
100
90
×
100
92
×
100
95
Final Price=85000×0.9×0.92×0.95
Final Price=76500×0.92×0.95=70380×0.95=₹66,561
Therefore, the final price for the customer is ₹66,561.
Marked Price (MP) = ₹85,275
Initial cash discount = ₹275
Price after the cash discount:
Price
1
=85275−275=₹85,000
Now, three successive discounts of 10%, 8%, and 5% are applied on this price:
Final Price=85000×(1−
100
10
)×(1−
100
8
)×(1−
100
5
)
Final Price=85000×
100
90
×
100
92
×
100
95
Final Price=85000×0.9×0.92×0.95
Final Price=76500×0.92×0.95=70380×0.95=₹66,561
Therefore, the final price for the customer is ₹66,561.