1
A sells a scooter priced at $3600. He gives a discount of 8% on the first $2000 and 5% on the next $1000. How much discount can be afforded on the remaining $600 if he is to get as much as when 7% discount is allowed on the total?
A.
B.
C.
D.
Answer & Solution
Let, discount on $600 be x%.
Then, (100 – x)% of 600 = 93% of 3600 – (92% of 2000 + 95% of
1000)
Or, 6(100 – x) = 3348
– (1840 + 950)
Or, 600 – 6x = 3348 –
2790 = 558
Or, 6x = 42
Or, x = 7.
2
An article is listed at $900 and two successive discounts of 8% and 8% are given on it. How much would the seller gain or lose, if he gives a single discount of 16%, instead of two discounts?
A.
B.
C.
D.
Answer & Solution
Loss = $[(92% of 92% of 900) – (84% of 900)]
= $[(0.92 × 0.92 ×
900) – (0.84 × 900)]
= $[761.76 – 756]
= $5.76.
3
Jack bought a camera and paid 20% less than its original price. He sold it at 40% profit on the price he had paid. The percentage of profit earned by Jack on the original price was
A.
B.
C.
D.
Answer & Solution
Let, original price of the camera be $100
Then discounted price = $80 & Profit $40%
\ Selling price = 140% of $80 = (140/100) × $80 = $112.
Hence, percentage of profit earned by Jack on the original price
= (12/100) × 100 = 12%
4
On a $10,000 payment order, a person has choice between 3 successive discounts of 10%, 10% and 30%, and 3 successive discounts of 40%, 5% and 5%. By choosing the better one he can save
A.
B.
C.
D.
Answer & Solution
Successive
Discounts of 10%, 10%, and 30%:
Price after first discount
= 10,000 − (10% × 10,000) = 10,000 − 1,000 = 9,000
Price after second discount
= 9,000 − (10% × 9,000) = 9,000 – 900 = 8,100
Price after third discount
= 8,100 − (30% × 8,100) = 8,100 − 2,430 = 5,670
Successive
Discounts of 40%, 5%, and 5%:
Price after first discount
= 10,000 − (40% × 10,000) = 10,000 − 4,000 = 6,000
Price after second discount
= 6,000 − (5% × 6,000) = 6,000 – 300 = 5,700
Price after third discount
= 5,700 − (5% × 5,700) = 5,700 – 285 = 5,415
Now,
Option 1 Final Price = $5,670
Option 2 Final Price = $5,415
Better Option = Option 2
Savings by choosing the better
option = $5,670
- $5,415 = $255
5
A retailer allows a trade discount of 20% and a cash discount of 6 1/4% on the market price of the products and gets a net profit of 20%, on the cost. By how much above the cost, should the products be labelled for sale?
A.
B.
C.
D.
Answer & Solution
Let, C.P.= $100 & M.P.=$x.
Then selling price = $120
Now, 93 ¾% of 80% of x = 120
Or, 475/4 × 1/100 ×
80/100 × x = 120
Or, 3x/4 = 120
Or, 3x = 480
Or, x = 160
\ Labelled price = M.P. – C.P. = (160 – 100)% = 60% above cost
price.
6
A trader marked his goods at 20% above the cost price. He sold half the stock at the marked price, one quarter at a discount of 20% on the marked price and the rest at a discount of 40% on the marked price. His total gain is
A.
B.
C.
D.
Answer & Solution
Let, C.P. of whole stock = $100
Then marked price of whole stock = $100 × 120% = $120,
half stock = $60
quarter(1/4) stock = $30
\ Total selling price = $[60 + (80% of 30) + (60% of 30)]
= $[60 + 24 + 18]
= $102
Hence, gain = (102 – 100)% = 2%.
7
The labelled price of a cupboard is $650. The shopkeeper sold it by giving 5% discount on the labelled price and earned a profit of 15%. What approximately is the cost price of the cupboard?
A.
B.
C.
D.
Answer & Solution
S.P. = 95% of $650 = $617.5
Profit = 15%
\ C.P.= $617.5 × (100/115) = $536.95 » $537.
8
A shopkeeper sold blazer at $266 each after giving 5% discount on labelled price. Had he not given the discount, he would have earned a profit of 12% on the cost price. What was the cost price of each blazer?
A.
B.
C.
D.
Answer & Solution
S.P. of a blazer = $266
Let, the labelled price of each blazer = $x
Then, 95% of x = $266
Þ x = $266 × (100/95)
Þ x = $280
\ Cost price of 1 blazer = S.P. × (100/112)
= $280 × (100/112)
= $250.
9
The marked price of a shirt and trousers are in the ratio 1: 2. The shopkeeper gives 40% discount on the shirt. If the total discount on the set of the shirt and trousers is trousers is 30%, the discount offered on the trousers is
A.
B.
C.
D.
Answer & Solution
Let
the marked price of the shirt is x and the marked price
of the trousers is 2x.
Then
discount on Shirt = 40% of x = 0.4x
Total
marked price = x+2x = 3x
Total
discount amount = 30% of 3x = 0.3 × 3x = 0.9x
Let
the discount on trousers be y%.
Then,
the discount amount on the trousers
y% of 2x
= (y/100) × 2x
= 2yx/100
= 0.02yx
Since the total discount from both the shirt and trousers is 0.9x,
0.4x + 0.02yx = 0.9x
Or, 0.02yx = 0.9x − 0.4x
Or, 0.02yx = 0.5x
Or, 0.02y = 0.50
Or, y = 0.50/0.02
Or, y = 25
\ The
discount on trousers is 25%.
10
A shopkeeper sells a badminton racket, whose marked price is $30, at a discount of 15% and gives a shuttle cock costing $1.50 free with each racket. Even then he makes a profit of 20%. His cost price per racket is
A.
B.
C.
D.
Answer & Solution
Let, C.P.= $x.
Marked price = $30
S.P.= $[(30 × 85%) – 1.50]
= $(25.5 – 1.50)
= $24
Accordingly, 120% of x = 24
Þ120x = 2400
Þ x = $20.
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