1. In a certain store, the profit is 320% of the cost. If the cost increases by 25% but the selling price remains constant, approximately what percentage of the selling price is the profit?
A 30%
B. 70%
C. 100%
D. 250%
Sol .Let C.P.= Rs. 100. Then, Profit = Rs. 320, S.P. = Rs. 420.
New C.P. = 125% of Rs. 100 = Rs. 125
New S.P. = Rs. 420.
Profit = Rs. (420 - 125) = Rs. 295.
Required percentage = (295/420)x 100 % = (1475/21)% = 70% (approximately)
2. A vendor bought toffees at 6 for a rupee. How many for a rupee must he sell to gain 20%?
A. 3
B. 4
C. 5
D. 6
Sol. C.P. of 6 toffees = Re. 1
S.P. of 6 toffees = 120% of Re. 1 = Rs. 6/5
For Rs. 6/5, toffees sold = 6.
For Re. 1, toffees sold = 6(5/6) = 5.
3. The cost price of 20 articles is the same as the selling price of x articles. If the profit is 25%, then the value of x is:
A. 15
B. 16
C. 18
D. 25
Sol. Let C.P. of each article be Re. 1 C.P. of x articles = Rs. x.
S.P. of x articles = Rs. 20.
Profit = Rs. (20 - x).
[(20-x)/x]*100 = 25.
Solving, x = 16.
4. The percentage profit earned by selling an article for Rs. 1920 is equal to the percentage loss incurred by selling the same article for Rs. 1280. At what price should the article be sold to make 25% profit?
A. Rs. 2000
B. Rs. 2200
C. Rs. 2400
D. Data inadequate
Sol. Let C.P. be Rs. x.
Then, [(1920-x)/x]*100 = [(x-1280)/x]*100
Solving, x = 1600
Required S.P. = 125% of Rs 1600 = Rs 2000.
5. Sam purchased 20 dozens of toys at the rate of Rs. 375 per dozen. He sold each one of them at the rate of Rs. 33. What was his percentage profit?
A. 3.5
B. 4.5
C. 5.6
D. 6.5
Sol. Cost Price of 1 toy = Rs (375/12) = Rs 31.25
Selling Price of 1 toy = Rs. 33
So, Gain = Rs. (33 - 31.25) = Rs. 1.75
Profit % = (1.75/31.25)*100 = 5.6%
6. The ratio of the cost price to the marked price of a watch is 3:5 and ratio of the percentage profit to the percentage discount is 5:3.Find the profit percentage ?
A. 13.34%
B. 16.65%
C. 16.43%
D. 17.5%
Sol. Cp:mp = 3x:5x = 300 : 500
Profit = 2x
P:d = 5:3
(5x×300)/100 +(3x×500)/100 = 100
30x = 100
X =(100/30) = 3.33%=> 5x = 16.65%
7. If a clock is sold for Rs.120 there is a loss of 15%.For a profit of 2%, the clock is to be sold for
A. 141
B. 142
C. 143
D. 144
Sol. Sp = 120
Loss = 15%
Cp = 120 × (100 / {100-15}) = 2400/17 = 141.18
Profit = 141.18×{(100+2)/100} = 144.
8. The difference in discounts between two successive discounts of 8% each and a single discount of 16% on Rs.2000 is
A. 6.4
B. 4.6
C. 12.8
D. 12.6
Sol. Two successive discounts of 8% = [ 8+8-(8*8/100)]% = 15.36%
Diff = 16 – 15.36 = 0.64%
Required diff = 2000×(0.64/100) = Rs. 12.8
9. A dealer sold 575 cement package at a profit of 9%. If one cement package cost Rs.2400, Find his total profit ?
A. 124100
B. 124200
C. 124000
D. 123200
Sol. Cp = 575 × 2400 = 1380000
P = 9%
P = (1380000×9)/100 = 124200.
10. By selling 15 oranges, a fruit seller gains the selling price of 1 orange. Calculate his gain percentage
A. 7.14%
B. 6.14%
C. 8%
D. 8.41%
Sol. SP of 1orange = 1
SP of 15 orange = 15
Profit = 1
CP = 15 – 1 = 14
Profit % = (1/14)×100 = 7.14%
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