An article listed at Rs. 65 sells for Rs. 56.16 after two successive discounts, one being 10%. What was the other discount________?
Show answer Hide answer
Answer: B. 4%
Explanation
Applying the first successive discount of ten percent reduces the list price of sixty five to fifty eight point five zero. Dividing the final selling price of fifty six point sixteen by fifty eight point five zero gives a price factor of zero point nine six. A price factor of zero point nine six corresponds to a second successive discount of four percent. Successive discounts are applied sequentially where each new percentage discount acts on the reduced price. List price represents the initial retail price before any promotional discounts are applied. Selling price is the final amount paid by the customer after all successive price reductions.
Option A underestimates the second discount percentage required to reach the final selling price. Option C overestimates the discount by assuming a larger price reduction than mathematically required. Option D suggests a discount that results in a selling price lower than fifty six point sixteen.
- Subject
- Mathematics
- Category
- Mathematics
- Topic
- —
- Difficulty
- medium
Related questions
Q1. A rectangle's length is twice its breadth. Decreasing length by 5 cm and increasing breadth by 5 cm gives what length_________?
Show answer Hide answer
Answer: C. 40 cm
Letting breadth be x makes the original length two times x according to the problem text. Altering length and breadth by five centimeters creates new algebraic expressions for the dimensions. Solving the transformation c...
Q2. Biology and Computer Science seat allocations are in a 5:8 ratio. Increasing them by 30% and 25% respectively, find the new ratio.
Show answer Hide answer
Answer: B. 13:20
Multiplying the initial ratio parts by their respective percentage increase factors yields the new adjusted values. Applying a thirty percent increase to five scales it to six point five for computer science or biology....
Q3. Marked price is 10% above cost price. Offering a 10% discount on it, the vendor experiences what outcome
Show answer Hide answer
Answer: C. loses 1%
Marking an item up by ten percent increases its price above the base cost price. Offering a subsequent ten percent discount reduces the marked price by that percentage. Successive equal percentage markups and discounts a...
Q4. Reversing a two-digit number decreases its value by 45. If the digits of the new number sum to 13, what was the original number?
Show answer Hide answer
Answer: B. 94
A two digit number is represented algebraically by tens and units place value components. Reversing the digits changes the value, and the difference is given as forty five. Testing candidate numbers confirms that ninety...
Q5. What number exceeds 16% of itself by 42________?
Show answer Hide answer
Answer: A. 50
Subtracting sixteen percent of an unknown number from itself yields a remainder equal to forty-two. Algebraically expressing this relationship gives zero point eight four times the number equal to forty-two. Dividing for...
Q6. A furniture retailer prices items 24% above cost. If a customer paid Rs. 8339 for a computer table, what was its cost price?
Show answer Hide answer
Answer: D. Rs. 6725
A twenty four percent markup means the selling price equals one point two four times the cost price. Dividing the final customer purchase price of eight thousand three hundred thirty nine by one point two four isolates c...