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Two successive discounts of 10% and 5%, in this order, are given on a bill of 110. Find the net amoum of money payable to clear the bill.
Question

Two successive discounts of 10% and 5%, in this order, are given on a bill of 110. Find the net amoum of money payable to clear the bill.

A.

₹ 94.05 

B.

₹ 95

C.

₹ 96

D.

₹ 97

Correct option is A

Given:

- Original Bill = ₹110
- First Discount = 10%
- Second Discount = 5%

Formula Used:

The formula for successive discounts:

Net Price=Original Price×(1First Discount100)×(1Second Discount100)\text{Net Price} = \text{Original Price} \times \left( 1 - \frac{\text{First Discount}}{100} \right) \times \left( 1 - \frac{\text{Second Discount}}{100} \right)

Solution:

1. Calculate the price after the first discount:

After First Discount=110×(110100)\text{After First Discount} = 110 \times \left( 1 - \frac{10}{100} \right)


= 110×0.90=99110 \times 0.90 = 99


2. Calculate the price after the second discount:

After Second Discount=99×(15100)\text{After Second Discount} = 99 \times \left( 1 - \frac{5}{100} \right)


= 99 ×\times​ 0.95 = 94.05

Final Answer:

The net amount payable is ₹94.05 

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