A dress on sale in a shop is marked at $D. During the discount sale its price is reduced by 15%. Staffs are allowed a further 10% reduction on the discounted price. If a staff member buys the dress what will she have to pay in terms of D?

Question: A dress on sale in a shop is marked at $D. During the discount sale, its price is reduced by 15%. Staff are allowed a further 10% reduction on the discounted price. If a staff member buys the dress, what will she have to pay in terms of D?

Solution:
Marked price of the dress = D

During the discount sale, the price is reduced by 15%.
So, after 15% discount, price = D - 15% of D
= D - 0.15D
= 0.85D

Staff are allowed a further 10% reduction on the discounted price.
So, staff price = 0.85D - 10% of 0.85D
= 0.85D - 0.10 × 0.85D
= 0.85D × 0.90
= 0.765D

Therefore, the staff member will have to pay 0.765D.

Correct Answer: গ) 0.765D