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Maths Questions for DSSSB Exam : 1st May 2018 (Solutions)

Q1. A sells an item at 20% profit to B. B sells it to C at 10% profit. C sells it to D at Rs. 16 profit. Difference between the cost price of D and cost price of A was Rs. 500. How much did B pay to A for the item?
(a) Rs. 1240
(b) Rs. 1250
(c) Rs. 1440
(d) Rs. 1450
Q2. Prasad sold his work tools for Rs. 1850 and earned a profit of 25%. At what price did Prasad buy the work tools?
(a) Rs. 1360
(b) Rs. 1300
(c) Rs. 1240
(d) Rs. 1480
Q3. Kamya purchased an item of Rs. 46000 and sold it at a loss of 12%. With that amount, she purchased another item and sold it at a gain of 12%. What was her overall gain/loss?
(a) Loss of Rs. 662.40
(b) Profit of Rs. 662.40
(c) Loss of Rs. 642.80
(d) Profit of Rs. 642.80
Q4. Seema purchased an item for Rs. 9600 and sold it for a loss of 5%. From that money, she purchased another item and sold it for a gain of 5%. What is her overall gain/loss?
(a) Loss of Rs. 36
(b) Profit of Rs. 24
(c) Loss of Rs. 54
(d) Loss of Rs. 24
Q6. The average monthly salary of the workers in a workshop is Rs. 8500. If the average monthly salary of 7 technicians is Rs. 10000 and average monthly salary of the rest is Rs. 7800, the total number of workers in the workshop is:
(a) 18
(b) 20
(c) 22
(d) 24
Q7. The average age of three boys is 16 years. If their ages are in the ratio 4 : 5 : 7, then the age of the youngest boy is:
(a) 8 years
(b) 9 years
(c) 12 years
(d) 16 years
Q8. What quantity of water should be taken out to concentrate 16 litres of 30% acidic liquid to 40% acidic liquid?
(a) 5l
(b) 6l
(c) 4l
(d) 8l
Q9. Two numbers are less than a third number by 30% and 37% respectively. How much percent is the second number less than the first?
(a) 10%
(b) 15%
(c) 20%
(d) 25%
Q10. Anupam purchased 5 Lemons for Rs. 4. He sold all the Lemons and earned 75% Profit. At what rate did he sell the Lemons?
(a) 4.1 Rs
(b) 1.4 Rs
(c) 2 Rs
(d) 3 Rs

Solutions:
S2. Ans.(d)
Sol. Here, selling price = Rs. 1850
Profit percentage = 25%
∴ Cost price =(Selling price × 100)/(100 + profit%)
=(1850 × 100)/(100 + 25)=(1850 × 100)/125
= Rs. 1480
S3. Ans.(a)
Sol. Here, cost price = Rs. 46000
Loss percentage = 12%
∴ Selling price =46000((100-12)/100)
=(46000 × 88)/100
= 460 × 88 = Rs. 40480
Again, cost price = Rs. 40480
Gain percentage = 12%
∴ Selling price =40480((100 + 12)/100)
=40480×112/100 = Rs. 45337.60
Hence, overall loss = 46000 – 45337.60
= Rs. 662.40
S4. Ans.(d)
Sol. Here, cost price = Rs. 9600
Loss percentage = 5%
∴ Selling price = 9600×((100 – 5))/100
=9600×95/100 = Rs. 9120
Again, cost price = 9120
Gain percentage = 5%
∴ Selling price =9120  ((100 + 5))/100
=(9120 × 105)/100
= Rs. 9576
Hence, overall loss = 9600 – 9576
= Rs. 24
S5. Ans.(d)
Sol. Here, selling price = Rs. 308
Profit percentage = 12%
∴ Cost price =(308 × 100)/(100 + 12)
=(308 × 100)/112
= Rs. 275
Again, selling price = Rs. 308
Loss percentage = 12%
∴ Cost price =(308 × 100)/88
= Rs. 350
In whole transaction,
Total SP = 308 × 2 = Rs. 616
Total CP = 275 + 350
= Rs. 625
∴ Loss = 625 – 616
= Rs. 9
Loss percentage =9/625×100
=900/625=36/25
=1 11/25% loss
S6. Ans.(c)
Sol. Let the total number of workers be x. Then,
(7 × 10000) + (x – 7) 7800 = 8500x
⇒ 70000 + 7800x – 54600 = 8500x
⇒ 700x = 15400
⇒ x = 22
∴ Total number of workers in the workshop = 22

S7. Ans.(c)
Sol. Sum of the ages of 3 boys = (16 × 3) = 48 years
Ratio of their ages = 4 : 5 : 7
Age of the youngest = (48×4/16) = 12 years

S8. Ans.(c)
Sol. Quantity of evaporated water = Original quantity of solution ((% Difference of water)/(Final % of water))
= 16 ((40-30)/40)=4l

S9. Ans.(a)
Sol. Let the 3rd number be 100.
Then, 1st number = 70, 2nd number = 63
2nd number is less than 1st by = (7/70×100)%
= 10%

S10. Ans.(b)
Sol. Cost price for 5 Lemon is Rs. 4
So SP for 5 Lemon = 4 × ((100 + 75))/100 = Rs. 7
So, SP for 1 Lemon = 7/5 = Rs. 1.4