11
Even after reducing the marked price of a transistor by $32, a shopkeeper makes a profit of 15%. If the cost price be $320, what percentage of profit would he have made if he had sold the transistor at the marked price?
A.
B.
C.
D.
Answer & Solution
C.P.=$320, Profit =15%
S.P. = $320 × 115% = $368
Marked price =$(368 + 32) = $400.
\ Required profits = (80/320) × 100 = 25%
12
A shopkeeper sold an article offering a discount of 5% and earned a profit of 23.5%. What would have been the percentage of profit earned if no discount was offered?
A.
B.
C.
D.
Answer & Solution
Let C.P. be $100.
Then, S.P.= $123.50
Let, marked price be $x.
Then, 95% of x = 123.50
Þ x = 125.50 × (100/95)
Þ x = $130
Now, Profit = $(130 – 100) = $30
\ % of profit = (30/100) × 100 = 30%.
13
Peter bought an item at 20% discount on its original price. He sold it with 40% increase on the price he bought it. The new sale price is by what percent more than the original price.
A.
B.
C.
D.
Answer & Solution
Let the original price be $100.
Then, C.P. = $80
S.P. = 140% of $80
= $112
\ Required percentage = (112 – 100)% = 12%.
14
A merchant marks his goods at 25% above the cost price. Due to a slump in the market, his cost reduces by 5%. He thus offers a discount of 8% due to which the sales go up by 25%. Compute the change in the merchant's profit.
A.
B.
C.
D.
Answer & Solution
Let the C.P. of each article be $100 and the number of pieces sold
be x.
Then, original S P = $125.
Original profit = [(125 -100)x] = $25.
New C.P.= $95
New S.P.= 92% of $125 = $115.
Number of articles sold now = 1.25x.
New profit = $[1.25x (115 - 95)] = 25x
Hence, the profit remains unchanged.
15
A trader sells an item to a retailer at 20% discount, but charges 10% on the discounted price, for delivery and packaging. The retailer sells it for $2046 more, thereby earning a profit of 25%. At what price had the trader marked the item?
A.
B.
C.
D.
Answer & Solution
Let, marked price of the item be $100x.
Discount = 20%
Charges for delivery and packaging = 10% on discounted price.
Then, 100x (-20%) = 80x (+10%) = 88x
\ (88x + 25% of 88x) – 88x = 2046
Or, (88x + 22x) – 88x = 2046
Or, 22x = 2046
Or, x = 93
Hence, Marked price = $100x = $100 × 93 = $9300.
16
A trader has 600 kgs of rice, a part of which he sells at 15% profit and the remaining quantity at 20% loss. On the whole, he incurs an overall loss of 6% What is the quantity of rice he sold at 20% loss?
A.
B.
C.
D.
Answer & Solution
Let, quantity of rice sold at 20% loss be x kg.
\ Quantity of rice sold at 20% gain = (600 – x) kg.
According to question,
(600 – x) × 115%
+ 80% of x = 600 × 94%
Þ 69000 – 115x + 80x = 56400
Þ 35x = 12600
Þ x = 360.
17
Mr. Paul bought two articles A and B at a total cost of $8000. He sold article A at 20% profit and article B at 12% loss. In the whole deal he made no gain and no loss. At what price should Dhar have sold article B to make an overall profit of 25%?
A.
B.
C.
D.
Answer & Solution
Let,
CA be the cost price of article A.
& CB be the cost price of
article B.
Total cost = CA + CB
= 8000
Selling price of A:
SA= CA + 20% of CA
= CA + 0.2CA
= 1.2CA
and selling price of B:
SB = CB − 12% of CB
= CB −
0.12CB
= 0.88CB
No overall profit/loss means SA+SB=CA+CB
Substituting values:
1.2CA+ 0.88CB= 8000
Since CA+ CB= 8000,
CA= 8000 − CB
Þ
1.2(8000−CB) + 0.88CB= 8000
Þ
9600 −1.2CB + 0.88CB= 8000
Þ
9600 - 0.32CB = 8000
Þ
CB= 1600/0.32 = 5000
Thus, CA= 8000 − 5000= 3000.
Now, new selling price for 25%
profit:
8000+25% of 8000 = 8000+2000 =10000
We already know SA= 1.2CA= 1.2×3000 = 3600
\ 3600+SB= 10000
Þ SB
= 10000−3600 = 6400.
18
Kevin sold an article for $6800 and incurred a loss. Had he sold the article for $7,850, his gain would have been equal to half of the amount of loss that he incurred. At what price should he sell the article to have 20% profit?
A.
B.
C.
D.
Answer & Solution
Let C be the cost price of the
article.
Then, Loss when sold at $6800 = C −
6800
Gain when sold at $7850 = 7850 − C
According to question,
7850 – C = 1/2(C − 6800)
Þ
2(7850 − C) = C−6800
Þ
15700 − 2C = C – 6800
Þ
15700 + 6800 = 3C
Þ
22500 = 3C
Þ
C = 7500
Again,
20% profit means the selling price should be:
C + 20% of C
= 7500 + (0.2 × 7500)
= 7500 + 1500
= 9000.
19
Monika goes to a shop and buys a dress, costing $522, including sales tax of 12%. The shopkeeper gives her a discount, so that the price is decreased by an amount equivalent to sales tax. The price is decreased by (nearest Value).
A.
B.
C.
D.
Answer & Solution
Price of dress including sales tax= $522
Cost price without sales tax = (522/112) × 100 = $466
\ The price is decreased = $(522 – 466) = $56.
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