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Wednesday, August 10, 2022

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$\text{30%}$

Correct answer is: \(\text{30%}\)

Explanation:

SP = 17940, Discount = 8%

\( MP = \frac{17940}{0.92}= ₹ 19500\)

\(\text{∴ Gain = 19.6% (given)}\)

\(∴ CP = \frac{17940}{1.196}= ₹ 15000\)

\(\text{New SP without discount = ₹ 19500}\)

\(Gain = (19500 – 15000) = ₹ 4500\)

\( \therefore \text{ Gain percent =} \frac{4500}{15000} \times 100 = \text{30%}\)

Nithin
answered Aug 10 '2022 at 20:3

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