Ajay bought a motor cycle for Rs. 50,000. 2 years later he sold it to Vijay at 10% less of the cost price. Vijay spend 5% of the purchasing price on its maintenance. Later Vijay displayed the sale price of his motorcycle Rs. 50,000. Chetan wanted to purchase it at 15% discount but Vijay gave him two successive discounts of 10% and 5% instead of 15% in one time. What is the actual discount availed by Chetan?
A. 15%
B. 15.5%
C. 14.5 %
D. 16.5%
E. Cannot determined
Answer: Option C
Solution (By Examveda Team)
100 --- 10%↓(1st discount) → 90 --- 5%↓ → 85.5 Net discount = 100 - 85.5 = 14.5%This Question Belongs to Arithmetic Ability >> Profit And Loss
After two successive discounts of 10% and 5%,
total discount = a + b - (a*b/100) = 10 + 5 - [(10*5)/100] = 15 - (1/2) = 14.5
100 - 100×(9/10)×(19/20) = 14.5% (Ans.)