Question

A shopkeeper offers two successive discounts of 12.5% each on a jeans pant, another shopkeeper offers two Successive discounts of 20% and 5% on the same pant. If the Marked price of the pant is Rs. 640, find which shopkeeper sells the pant at lower price and at which price?
1. Shopkeeper I, Rs. 490
2. Both sell at same price
3. Shopkeeper 1, Rs. 486.4
4. Shopkeeper II, Rs. 486.4

Answer 1

Correct Answer - Option 4 : Shopkeeper II, Rs. 486.4

Given:

Successive discount in shop I = 12.5%

Successive discount in shop II = 20% and 5%

Marked price of pant = Rs. 640

Formula used:

Successive decrease = x + y – [(xy)/100]

Calculation:

Overall Discount% offered by shopkeeper I = 12.5% + 12.5% - [(12.5 × 12.5)/100]

= 25 - 1.5625

= 23.4375%

∴ Discount price = (23.4375/100) × 640

= Rs. 150

∴ Selling price of shopkeeper II = 640 - 150

= Rs. 490 

Overall Discount% offered by shopkeeper II = 20 + 5 – [(20 × 5)/100]

= 25 – 1

= 24%

∴ Discount price = (24/100) × 640

= Rs. 153.6

∴ Selling price of shopkeeper II = 640 - 153.6

= Rs. 486.4

∴ Shopkeeper II sells the pant at lower price.