find a single discount which is equivalent to two successive discount of 15% and 10% respectively
Answers
Solution⤵️
Let’s apply the successive discounts of 10% and 15% on amount x.
After discount of 10%, x becomes:
• x – 10% of x = 0.9x
After discount of 15%, the final amount becomes:
• 0.9x * (1-0.15)
• x*0.9*0.85
• 0.765 x
Therefore, final amount after successive discount is 0.765 x.
Now, we need to find equivalent discount to successive discounts of 10% and 15%. Let’s denote equivalent discount by ”d”.
Thus,
• 0.765x= x- d % of x
• 0.765x= x- d/100 * x
• d/100 *x= 0.235 x
• d= 23.5%
Thus, equivalent discount to 10% and 15% is 23.5%.
Answer:
Let’s apply the successive discounts of 10% and 15% on amount x.
After discount of 10%, x becomes:
• x – 10% of x = 0.9x
After discount of 15%, the final amount becomes:
• 0.9x * (1-0.15)
• x*0.9*0.85
• 0.765 x
Therefore, final amount after successive discount is 0.765 x.
Now, we need to find equivalent discount to successive discounts of 10% and 15%. Let’s denote equivalent discount by ”d”.
Thus,
• 0.765x= x- d % of x
• 0.765x= x- d/100 * x
• d/100 *x= 0.235 x
• d= 23.5%
Thus, equivalent discount to 10% and 15% is 23.5%.