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For an electric bill for Rs. 50,000, what is the difference between a discount of 30% and two successive discounts of 26% and 5%?
Question

For an electric bill for Rs. 50,000, what is the difference between a discount of 30% and two successive discounts of 26% and 5%?

A.

Rs. 140

B.

Rs. 150

C.

Rs. 130

D.

Rs. 120

Correct option is B

Given:
The original bill amount is Rs. 50,000.
We need to find the difference between a discount of 30% and two successive discounts of 26% and 5%.
Formula Used:
Final Amount = Original Amount ×(1Discount%100) \times (1 - \frac{Discount \%}{100})​​
Final Amount = Original Amount×(1Discount1%100)×(1Discount2%100) \times (1 - \frac{Discount1\%}{100}) \times (1 - \frac{Discount2\%}{100})​​
Solution:
Amount after a 30% discount = 50000 × (1 - 30/100) = Rs. 35000.00
Final Amount after successive discounts of 26% and 5%: = 50000 × (1 - 26/100) × (1 - 5/100) = Rs. 35150.00
Difference = Rs. 35000.00 - Rs. 35150.00 = Rs.150.00
Thus, the difference between the two discounts is Rs. 150.00.

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