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If on a marked price, the difference of selling prices with a discount of 30% and two successive discounts of 20% and 10% is Rs.72, then the marked price (in Rs.) is

A) Rs.3600
B) Rs.3000
C) Rs.2500
D) Rs.2400

Correct Answer:

A) Rs.3600

Description for Correct answer:

Let the marked price = Rs.x

The discount equivalent to successive

discounts 20% and 10% =\( \Large \left(r_{1}+r_{2}-\frac{r_{1}r_{2}}{100}\right) \)%

where, \( \Large r_{1} \) = 20 and \( \Large r_{2} \) = 10

Then, 30 - 2 = 28%

According to the question,

\( \Large \frac{ \left(100-28\right)x }{100}-\frac{ \left(100-30\right)x }{100} = 72 \)

\( \Large \frac{72x - 70x}{100} = 72 \)

\( \Large \frac{72 \times 100}{2} \)=Rs.3600

Part of solved Discount questions and answers : >> Aptitude >> Discount

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Similar Questions

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