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  1. 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 ?
    1. ₹ 6, 500
    2. ₹ 6,000
    3. ₹ 6,423.90
    4. ₹ 6,500.50
Correct Option: C

As we know the formula for two successive discount.

Single equivalent discount = D1 + D2
D1 × D2
%
100

Single equivalent discount for 8% and 5% = 8 + 5 −
8 × 5
%
100

Single equivalent discount for 8% and 5% = 8 + 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 −
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 =
7500 × 85.652
= ₹ 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 − D1
100 − D2
100 − D3
100100100

S.P = 7500
100 − 8
100 − 5
100 − 2
100100100

S.P = 7500 ×
92
×
95
×
98
100100100

S.P = ₹ 6423.90



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