Correct Answer - Option 3 : 7.75%
Given:
Marked price of a toy is Rs. 40,000.
The retailer gave discount of 10% on first 62.5% of marked price.
For the remaining amount, discount of 4% was provided.
Concepts used:
M.P. = S.P. + Discount
Discount % = Discount/M.P. × 100
Calculation:
M.P. of toy = Rs. 40,000
First 62.5% of M.P. = 62.5% × 40,000 = Rs. 25,000
Discount % = 10
⇒ ((25,000 – S.P.)/25,000) × 100 = 10
⇒ S.P. = Rs. 22,500
Discount % on remaining amount = 4
⇒ (15,000 – S.P.)/15,000 × 100 = 4
⇒ Remaining S.P. = Rs. 14,400
⇒ Total S.P. = Rs. 22,500 + 14,400 = Rs. 36,900
⇒ Discount = Rs. 40,000 – Rs. 36,900 = Rs. 3100
⇒ Overall discount % = (Rs. 3100/Rs. 40,000) × 100 = 7.75%
∴ Overall discount on toy is equal to 7.75%.
