The marked price of a John Players Denim is Rs 1490 On the occasion of Rakshabandhan the showroom of...........

Quant (SSC) Profit and loss

The marked price of a John Players Denim is Rs. 1490. On the occasion of Rakshabandhan, the showroom offered two successive discounts of 11.25% and D% respectively. If an individual purchased the Denim for Rs. 1193.44, then find the value of value of ‘D’?

9.75

8.75

5.5

10.75

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Explanation:

Marked price = 1490
1^st discount = 11.25%
Price after 1^st discount
= 1490 – 1490 × 11.25 /100 = 1322.375
2^nd discount = D%
Price after 2^nddiscount
= 1322.375 – 1322.375 × D /100 = 1193.44
⇒ 1322.375 × (1 - D/100) = 1193.44
⇒ (1 - D/100) = 1193.44 /1322.375 = 0.90249
⇒ (100 - D /100) = 0.90249
⇒ D = 9.75%