Ajay brought a motorcycle for 50000 2 years later is he sold it to Vijay at 10% less of the cost price Businessman 5% of the purchase price on its maintenance letter visual display the cell of cell price of his motorcycle rupees 50000 Chetan wanted to purchase it at 15% discount but Vijay gave him two successive discount of 10% and 5% instead of 15% in one time what is the actual discount a file by Chetan ?
Answers
Question :- 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 ?
Answer :-
As we have to find actual discount given to chetan in place of 15% discount .
we will directly work on Last Part only.
It is given that, 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.
So,
→ Let MP of motorcycle vijay display = Rs.100
→ First Discount = 10% .
→ SP = {MP * (100 - Discount%)} / 100
→ SP = { 100 * (100 - 10)}/100
→ SP = (100 * 90)/100
→ SP = Rs.90 .
Now,
→ MP after first discount = Rs.90
→ Second discount = 5%
→ SP = {MP * (100 - Discount%)} / 100
→ SP = { 90 * (100 - 5)}/100
→ SP = (90 * 95)/100
→ SP = Rs.85.5 .
Therefore,
→ Total discount given to chetan = MP - SP = 100 - 85.5 = Rs.14.5
Hence,
→ Discount % = (Discount in Rs. * 100) / MP
→ Discount % = (14.5 * 100) / 100
→ Discount % = 14.5% . (Ans.)
∴ The actual discount availed by Chetan is 14.5% .