Question

Labelled cost price of a dining table chair is Rs.9600.A salesman offers a discount of 15% on it . Still he get profit of 12% in the deal. What is the cost price of the set?

Option's
1) ₹7188.7
2) ₹7180.8
3) ₹7285.7
4) ₹8253.5
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Answer 1

Answer:

7285.71 is right ans

Step-by-step explanation:

Given:-

• selling price=9600
• discount=15%
• profit=12%

$discount = 15\% \times 9600 \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = \frac{15}{100} \times 9600 \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 15 \times 96 \\ \\ discount = 1440 \\ \\ s.p \: \:after \: discount = 9600 - 1440 \\ \: \: \: \: \: \: \: = 8160 \\ \\ \\ as \: we \: know$

$c.p = \frac{100 \times s.p}{(100 + p\%)} \\ \\ c.p = \frac{100 \times 8160}{100 + 12} \\ \\ c.p = \frac{816000}{112} \\ \\ c.p = 7285.71$