1. A man gives a 40% commission and still earns a 12% profit on the sale of an article. Had the man offered the agent a commission of 25%, what would be the profit earned ?
A. 52%
B. 20%
C. 40%
D. 35%
E. 25%
Sol. S.P.= M.P.(0.6) = C.P.(1.12) => M.P. = C.P.(28/15)
According to given statement, S.P.= M.P.(3/4) = C.P. (28/15)(3/4) = C.P.(1.4).
Hence the profit is 40%.
2. A man distributes his property among his 4 sons, 2 daughters and wife. The individual share of a son is to daughter is 3 : 1 and that of daughter is to wife is 2 : 3. If the wife gets Rs. 84,000, what is the worth of the property and the individual share of son ?
A. 987,000 , 66,000
B. 624,000 , 54,000
C. 877,000 , 109,000
D. 868,000 , 168,000
E. None of these
Sol. Let the total value of the property be P Rs. and let the individual share of a son, daughter and wife be Rs. s, d and w respectively.
s : d = 3 : 1 & d : w = 2 : 3
s : d : w = 6 : 2 : 3
Since there are 4 sons, 2 daughters and a wife, the property will be divided in the ratio
(6 × 4 : 2 × 2 : 3) = 24 : 4 : 3.
Since wife gets 84,000, hence (3/31) × P = 84,000
Therefore P = 8,68,000.
Thus 4 sons share = (24/31) × 8,68,000 = 6,72,000
and individual share = 6,72,000/4 = 1,68,000.
Hence option 4.
3. In a sale, a shopkeeper reduced the advertised selling price of a dress by 20%. This resulted in a profit of 4% over the cost price of the dress. What percentage of the profit would the shopkeeper have made if the dress had been sold at the original selling price ?
A. 16%
B. 20%
C. 24%
D. 30%
E. None of these
Sol. Let the original cost price and original selling price of the dress be C and S respectively.
Then 0.8 × S = 1.04 × C.
So S = 1.04/0.8 × C = 1.3 × C.
Therefore the shopkeeper would have made a profit of 30% by selling the dress at its original price.
4. How many 4 digited number abcd are there such that following conditions are satisfied:
A. 4000 = number = 6000
B. Number is a multiple of 5
C. 3 = b < c = 6
A. 10
B. 48
C. 24
D. 36
E. None of these
Sol. Condition (A) requires that a is one of 4 or 5.
Condition (B) requires that d is either 0 or 5.
Condition (C) requires that the order pair
(b, c) be one of these six ordered pairs:
(3,4), (3,5), (3,6), (4,5), (4,6), (5,6)
So, there are 2×2×6 = 24 numbers.
5. The ratio of the marked price to the cost price of a mobile is 5 : 4. The discount percentage offered before it was sold and profit/loss percentage made on it were in the ratio 3 : 4. Find the profit/loss percentage ?
A. 12.9%
B. 14.48%
C. 13.8%
D. 11.28%
E. Cannot be determined
Sol. Let the marked price = 5x and cost price = 4x
Discount percentage = 3y and profit/loss percentage = 4y. Then, SP = 5x(100 – 3y/100) = 4x (100+4y/100)
500 – 15y = 400 + 16y
y = 100/31. Hence, profit percentage = 4y = 400/31, y = 12.9%.
Directions (6-10): Study the bar graph carefully and answer the following questions.
The number of male and female officers in various banks
6. What is the total number of employees in the given five banks?
A. 60000
B. 56000
C. 58000
D. 62000
E. 59000
Sol. Total employees of the given five banks
= (8 + 9 + 3 + 4 + 6 + 5 + 6 + 7 + 5 + 7) × 1000 = 60000.
7. What is the ratio of male to female probationary officers in all five banks?
A. 5 : 4
B. 3 : 2
C. 2 : 3
D. 7 : 8
E. 4 : 5
Sol. Ratio of male to female probationary officers in all five banks
= (8000 + 3000 + 5000 + 7000 + 5000) : (9000 + 4000 + 6000 + 6000 + 7000)
= 28000 : 32000 = 7 : 8
8. In HDFC 40% males and 30% females are unmarried, then what is the ratio of the married males to the married females in HDFC?
(a) 7 : 5
(b) 5 : 7
(c) 12 : 13
(d) 2 : 3
(e) 3 : 5
Sol. Unmarried males in HDFC
= 5000 × (40/100) = 2000
Married males = (5000 – 2000) = 3000
Unmarried females in HDFC = 6000 × (30/100) = 1800
Married females = (6000 – 1800) = 4200
Required ratio = 3000 : 4200 = 5 : 7
9. If the number of married male officers in ICICI is euqal to that in PNB, which is 40% of the male officers in PNB, then what is the percentage of married male officers in ICICI with respect to the total number of officers in ICICI?
A. 25.51%
B. 28%
C. 27.91%
D. 22%
E. 23.33%
Sol. Number of male married officers in ICICI
= Number of male married officers in PNB
= Male officers in PNB × (40/100) = 7000 × (40/100) = 2800
The percentage of married male officers in ICICI w.r.t to the total officers in ICICI
= (2800 × 100)/(7000 + 5000) = 23.33%
10. The male officers in PNB is what per cent more than the female probationary officers in BOI?
A. 74.8%
B. 74%
C. 75%
D 75.4%
E. 78%
Sol. Required% = [(7000 - 4000)/4000] × 100%
= 75% more than female probationary officers in BOI.
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