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A double bed is marked at ₹ 7,500. The shopkeeper allows successive discounts of 8%, 5% and 2% on it. What is the net selling price ?
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- ₹ 6, 500
- ₹ 6,000
- ₹ 6,423.90
- ₹ 6,500.50
Correct Option: C
As we know the formula for two successive discount.
Single equivalent discount = | D1 + D2 − | % | |||
100 |
Single equivalent discount for 8% and 5% = | 8 + 5 − | % | |||
100 |
Single equivalent discount for 8% and 5% = | 8 + 5 − | % | |||
100 |
Single equivalent discount for 8% and 5% = (13 – 0.4) = 12.6 %
Single equivalent disconut for 12.6% and 2% = | 12.6 + 2 − | % | |||
100 |
Single equivalent disconut for 12.6% and 2% = 14.6 – 0.252 = 14.348 %
∴ Net S.P = (100 – 14.348) % of 7500
∴ Net S.P = | = ₹ 6423.90 | |
100 |
Alternate method to solve this question :
According to given question.
M.P. = ₹ 7500, S.P = ?, D1 = 8%, D2 = 5%, D3 = 2%
S.P = M.P. | |||||||||
100 | 100 | 100 |
S.P = 7500 | |||||||||
100 | 100 | 100 |
S.P = 7500 × | × | × | |||
100 | 100 | 100 |
S.P = ₹ 6423.90