A shopkeeper sold a TV set for ₹ 17940, with a discount of 8% and gained 19.6%. If no discount is allowed, then what will be his gain per cent ?
A shopkeeper sold a TV set for ₹ 17940, with a discount of 8% and gained 19.6%. If no discount is allowed, then what will be his gain per cent ?
A$\text{25%}$
B$\text{26.4 %}$
C$\text{24.8%}$
D$\text{30%}$
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Correct answer is: \(\text{30%}\)
Explanation:
SP = 17940, Discount = 8%
\( MP = \frac{17940}{0.92}= ₹ 19500\)
\(\text{∴ Gain = 19.6% (given)}\)
\(∴ CP = \frac{17940}{1.196}= ₹ 15000\)
\(\text{New SP without discount = ₹ 19500}\)
\(Gain = (19500 – 15000) = ₹ 4500\)
\( \therefore \text{ Gain percent =} \frac{4500}{15000} \times 100 = \text{30%}\)
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