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 what would be the marked price (in rupees):

Question

Let the marked price be x Rs.
∴ SP $ = \frac{70x}{100}Rs. $
Single discount equivalent to successive discounts of 20% and 10%.
$ = \left ( 20+10-\frac{20\times 10}{100} \right )\% = 28\%$
∴ SP $ = \frac{72x}{100}$
$ \therefore \frac{72x}{100} – \frac{70x}{100} = 72$
$ => \frac{2x}{100} = 72$
$ \therefore x = \frac{72\times 100}{2} = 3600 Rs.$
Hence option [D] is correct answer.

GKToday Admin · Accepted Answer

Rs. 3600 Let the marked price be x Rs.
∴ SP $ = \frac{70x}{100}Rs. $
Single discount equivalent to successive discounts of 20% and 10%.
$ = \left ( 20+10-\frac{20\times 10}{100} \right )\% = 28\%$
∴ SP $ = \frac{72x}{100}$
$ \therefore \frac{72x}{100} – \frac{70x}{100} = 72$
$ => \frac{2x}{100} = 72$
$ \therefore x = \frac{72\times 100}{2} = 3600 Rs.$
Hence option [D] is correct answer.

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