True Discount Practice Questions

5 questions per page • Detailed step-by-step solutions

Question 16
Easy
The difference between a discount of 40% on Rs.500 and two successive discounts of 30% and 10% on the same amount is
A Rs. 12
B Rs. 14
C Rs. 15
D Rs. 18
Correct Answer: C

Explanation:

Equivalent single discount for 30% and 10% = 30 + 10 - (30 * 10) / 100 = 40 - 3 = 37%. Difference in percentage = 40% - 37% = 3%. Difference in value = 3% of Rs. 500 = (3 / 100) * 500 = Rs. 15.
Question 17
Medium
A shopkeeper gains Rs.56 on a toy after allowing 23% discount on its marked price. If his gain is 10%, then the marked price of the toy is :
A Rs. 750
B Rs. 780
C Rs. 800
D Rs. 820
Correct Answer: C

Explanation:

Gain = 10% of CP = Rs. 56 => CP = 56 / 0.10 = Rs. 560. Selling price = CP + Gain = 560 + 56 = Rs. 616. Since a 23% discount is given on MP: 77% of MP = 616 => 0.77 * MP = 616 => MP = 616 / 0.77 = Rs. 800.
Question 18
Easy
A washing machine is sold at a discount of 30%. If a man buys it for Rs. 6580, its list price is = ?
A Rs. 9200
B Rs. 9400
C Rs. 9600
D Rs. 9800
Correct Answer: B

Explanation:

Selling Price = 70% of List Price = Rs. 6580. List Price = 6580 / 0.70 = Rs. 9400.
Question 19
Medium
A person marks his goods x% above the cost price and allows a discount of 30% on the marked price. If his profit is 5%, then the value of x will be:
A 45%
B 50%
C 52%
D 55%
Correct Answer: B

Explanation:

Let CP = 100. Profit = 5%, so SP = 105. SP is after 30% discount: 0.70 × MP = 105 => MP = 105 / 0.70 = 150. Markup % x = 150 - 100 = 50%.
Question 20
Hard
Anand marks up the price of an article by 50% and then allows a discount of 20% and sells it to Balaji who sells it for Rs. 20, more than what he purchased for, this selling price is 30% more then the original cost price of the article. Then Balaji's profit % is = ?
A 6.67%
B 7.50%
C 8.33%
D 10.00%
Correct Answer: C

Explanation:

Let original CP = 100x. Anand marks it up to 150x and discounts by 20% => Anand sells to Balaji at 150x × 0.80 = 120x. Balaji's CP = 120x. Balaji sells it at 130% of original CP = 130x. Balaji's profit = 130x - 120x = 10x = Rs. 20 => x = 2. Balaji's CP = 120 × 2 = Rs. 240. Balaji's profit % = (20 / 240) × 100 = 100 / 12 = 8.33% (8 1/3%).