Quantitative Aptitude Questions, Formulas & Shortcuts

Question 11

Hard

An article listed at Rs.800 is sold at successive discounts of 25% and 15%. The buyer desires to sell it off at a profit of 20% after allowing a 10% discount. What would be his list price ?

A Rs. 650

B Rs. 680

C Rs. 720

D Rs. 750

Correct Answer: C

Explanation:

Buyer's CP = 800 × 0.75 × 0.85 = 600 × 0.85 = Rs. 510. Desired SP for 20% profit = 510 × 1.20 = Rs. 612. Since buyer allows 10% discount: 0.90 × New List Price = 612 => New List Price = 612 / 0.90 = Rs. 680.

Question 12

Medium

Rs. 20 is the true discount on Rs. 260 due after a certain time. What will be the true discount on the same sum due after half of the former time, the rate of interest being the same?

A Rs. 9.60

B Rs. 10.00

C Rs. 10.40

D Rs. 10.83

Correct Answer: C

Explanation:

Amount = Rs. 260, TD = Rs. 20 => PW = 260 - 20 = Rs. 240. SI on Rs. 240 for time T = Rs. 20. For half the time (T/2), SI on Rs. 240 = 20 / 2 = Rs. 10. Then amount due after T/2 on principal 240 is 240 + 10 = Rs. 250. When amount is 250, TD = 10. For the same sum of Rs. 260 due after T/2: TD = (10 / 250) * 260 = (1 / 25) * 260 = Rs. 10.40.

Question 13

Easy

To gain 8% after allowing a discount of 10%, by what per cent cost price should be hiked in the list price ?

A 18%

B 20%

C 22%

D 24%

Correct Answer: B

Explanation:

MP / CP = (100 + 8) / (100 - 10) = 108 / 90 = 1.20. Hike = 20%.

Question 14

Easy

During month-long annual sale, a shopkeeper sells his goods at a discount of 50%. But in the last week, he offers an additional discount of 40%. If the original price of a shirt is Rs. x, then the price (in rupees) during the last week of the sale will be = ?

A 0.20x

B 0.25x

C 0.30x

D 0.35x

Correct Answer: C

Explanation:

Original price = x. Price after 50% discount = 0.50x. Price after additional 40% discount = 0.50x × (1 - 0.40) = 0.50x × 0.60 = 0.30x.

Question 15

Medium

A profit of l0% is made after giving a discount of 5% on a T. V. If the marked price of the TV is Rs.2640.00, the cost price of the TV was :

A Rs. 2240

B Rs. 2260

C Rs. 2280

D Rs. 2300

Correct Answer: C

Explanation:

SP = 2640 × 0.95 = Rs. 2508. Profit = 10%, so 1.10 × CP = 2508 => CP = 2508 / 1.10 = Rs. 2280.

True Discount Practice Questions