**1. A man marked his selling price of goods at 50% above the cost price. He sells half the goods at this price, one -third of his remaining goods at a discount of 25% on the marked price and rest on discount of 20% on the marked price. Find his overall gain percent.**

A) 35.63%

B) 32.25%

C) 32.35%

D) 33.75%

**2. The respective ratio between the present age of a Sunil and Karim is 7 : 1. Four years ago, the respective ratio between their ages was 19 : 1, then what will be the Sunil's age four years from now?**

A) 42 years

B) 38 years

C) 46 years

D) 36 years

E) None of these

**3. Alka borrowed a certain sum of money from Ena at the rate of 10% per annum at simple interest for the first five years and at the rate of 8% per annum at simple interest for the next 7 years and at the rate of 12% per annum at simple interest for the period beyond 12 years. If she pays a total of Rs.1,70,400 as interest only at the end of 15 years, then how much money did she borrow?**

A) Rs.1,50,000

B) Rs.1,24,000

C) Rs.1,20,000

D) Rs.1,04,000

E) None of these

**4. 12 liters are drawn from a bottle full of chemical and is then filled with water. This operation is performed four more times. The ratio between the quantity of chemical now left in bottle and water is 32 : 243, then how much chemical did the bottle hold originally?**

A) 52 liters

B) 24 liters

C) 32 liters

D) 48 liters

E) None of these

**5. Javed and Gaurav are partners in a business. They invest the amount in the ratio of 5 : 6. At the end of 8 months, Javed withdraws the amount. If they receive profits in the ratio of 5 : 9, then find how long Gaurav's investment was invested?**

A) 12 months

B) 10 months

C) 15 months

D) 14 months

E) None of these

**6. The ratio between males and females is 7:9 among the unemployed population in a village. Among the unemployed males, the ratio between the literate and illiterate is 11: 3. Out of 11 unemployed literate males, 9 filled up the form for SSC exam. In the exam day, the ratio between present and absent unemployed literate males was 7:2. What is the ratio between unemployed female population and the unemployed literate males who were absent in the examination?**

A) 9 : 1

B) 4 : 1

C) 6 : 1

D) 3 : 1

E) None of these

**7. Bipin completes 50% of a task in 25 days and then takes the help of Madan and Suresh. Madan is 40% as efficient as Bipin while Suresh is 50% as efficient as Madan. In how many more days will they together to complete the work?**

A) 13 7/8 days

B) 15 5/8 days

C) 14 2/9 days

D) 16 6/11 days

E) None of these

**8. A bus after traveling 18 km from Delhi A developed some problem in the engine and speed became 4/5 of its original speed. As a result, the bus reached jaipur 45 minutes late. If the engine had developed the same problem after traveling 30 km from Delhi, then it would have reached Jaipur only 36 minutes late. Find the original speed of the bus and the distance between the Delhi and Jaipur.**

A) 25 km/hr, 130 km

B) 30 km/hr,150 km

C) 20 km/hr, 90 km

D) 20 km/hr, 78 km

E) None of these

**9. A water tank can be filled by three pipes P, Q and R in 12, 15 and 20 hours respectively. If pipe P is open all the time and pipes Q and R are open for one hour each alternatively, then in what time will the tank be full?**

A) 5 hrs

B) 7 hrs

C) 9 hrs

D) 11 hrs

E) 13 hrs

**10. Lucky saves 10% of his income while spends the rest of his income on food, clothes and rent in the ratio of 2 : 4 : 5. If the amount spent on clothes is Rs.2880, then find his income.**

A) Rs.8100

B) Rs.7800

C) Rs.7920

D) Rs.8800

E) Rs.8740

**Solutions:**

**1. D)**Let CP = Rs.100 then MP = Rs.150

According to the
question,

SP = 75 + 25 × 75/100 +
50 × 80/100 = 75 + 18.75 + 40 = Rs.133.75

Therefore profit% = (133.75
– 100)/100 × 100% = 33.75%

**2. C)**Let the age of Sunil and Karim is 7x and x respectively.

According to the
question,

(7x – 4)/(x – 4) = 19/1
=> 7x – 4 = 19x – 76 => 12x = 72 => x = 6

So the present age of
Sunil = 42 years

After 4 years age of
Sunil = 46 years

**3. C)**SI = PTR/100

=> 170400 = [(P × 10 ×
5) + (P × 8 × 7) + (P × 12 × 3)]/100

=> 170400 = [50P + 56P
+ 36P]/100 => 170400 = 142P/100

=> P = Rs.120000

**4. E)**Let the quantity of the chemical in the bottle originally be x liters.

Then, quantity of
chemical left in bottle after 5 operation

=> [x (1 – 12/x)

^{5}]/x = 32/243
=> (1 – 12/x)

^{5}= (2/3)^{5}
=> (x – 12)/x = 2/3

=> 3x – 36 = 2x =>
x = 36 litres

**5. A)**Let investment time of Gaurav was for x months

Ratio of their investment
= Ratio of profit distribution

5 × 8 : 6 × x = 5 : 9

Therefore x = (40 × 9)/(6
× 5) = 12 months

**6. A)**Let the no. of males and females are 700 and 900.

No. of literate males =
700/14 × 11 = 550 and no. of illiterate males = 150

No. of candidates filled
the form for SSC = 550/11 × 9 = 450

and no of candidates who
absent in the exam day = 450/9 × 2 = 100

Therefore, Required ratio
= 900 : 100 = 9 : 1

**7. B)**Bipin completes 50% of a task in 25 days.

In 1 day, Bipin completes
2% of the task.

Now, Madan is 40% as
efficient as Bipin.

Therefore, In 1 day, % of
work completed by Madan = 40% of 2 = 0.8%

Also, Suresh is 50% as
efficient as Madan

In 1 day, % of completed
by Suresh = 50% of 0.8 = 0.4%

In 1 day, working
together Bipin, Madan and Suresh finish % of work = (2 + 0.8 + 0.4) = 3.2%

% of work to be completed
= 50%

Therefore, Number of days
which they will take = 50/3.2 = 125/8 = 15 5/8

**8. D)**It can be seen that by travelling 12 km (30 – 18) more at original speed, the bus reaches 9 minutes earlier. So, in order to reach 45 minutes earlier, it has to travel a distance of 60 km more at original speed.

So the distance between
points Delhi and Jaipur = (18 + 60) = 78 kms.

**9. B)**In 1 hour, both pipes P and q and fill = 1/12 + 1/15 = 3/20

Again in 1 hour, both
pipes P and R = 1/12 + 1/20 = 2/15

In 2 hours, part filled =
3/20 + 2/15 = 17/60

In 6 hours, part filled =
(3 × 17)/60 = 17/20

Therefore remaining part
= 1 – 17/20 = 3/20

As the pipes are opened
alternatively, after P and R , now it is the turn for pipes P and Q.

Pipes P and Q can fill
3/20 part in 1 hour

Therefore total time
taken = 6 + 1 = 7 hours

**10. D)**Lucky saves 10% of his income while spends the rest of his income on food, clothes and rent in the ratio of 2 : 4 : 5.

Let the amount spent on
food, clothes and rent be 2x, 4x and 5x respectively.

Given, amount spent on
clothes is Rs.2880.

Therefore, 4x = 2880
=> x = 720

Total amount being spent
on food, clothes and rent = 2x + 4x + 5x = 11x = 11 × 720 = Rs.7920

Now, the amount being
spent is 90% of his income as he saves 10%.

90% of income = Rs.7920

Therefore, Income =
7920/90 × 100 = Rs.8800