**Q1. A man spends 40% of his monthly salary on food and one-third of the remaining on transport. If he saves Rs. 4,500 per month which is equal to half the balance after spending on food and transport, his monthly salary is:**

(a) Rs. 11,250

(b) Rs. 22,500

(c) Rs. 25,000

(d) Rs. 45,000

**Q2. In a big garden 60% of the trees are coconut trees. 25% of the number of coconut trees are mango trees and 20% of the number of mango trees are apple trees. If the number of apple trees in the garden in 1440 then find the total number of trees in the garden:**

(a) 48000

(b) 50000

(c) 51000

(d) 45000

**Q3. A spider climbed 62 1/2of the height of the pole in one hour and in the next hour it covered 12 1/2 of the remaining height. If pole’s height is 192 m, then the distance climbed in second hour is**

(a) 3 m

(b) 5 m

(c) 7 m

(d) 9 m

**Q4. A man sells two pipes at Rs. 12 each. He gains 10% on one and losses 10% on the other. In the whole transaction, …..**

(a) Neither loss nor gain

(b) 1 % Profit

(c) 1% Loss

(d) None of the above

**Q5. A man sells two chairs at Rs. 120 each and by doing so gains 25% on one chair and loses 25% on the other. His loss on the whole in Rs. is**

(a) 20

(b) 16

(c) 25

(d) 30

**Q6. A dealer sold a bicycle at a profit of 10%. Had he bought the bicycle at 10% less price and sold it at a price Rs. 60 more, he would have gained 25%. The cost price of the bicycle was:**

(a) Rs. 2400

(b) Rs. 2200

(c) Rs. 2000

(d) Rs. 2600

**Q7. A man sells an article at a gain of 15%. If he had bought it at 10% less and sold it for Rs. 4 less, he would have gained 25%. The cost price of the article is**

(a) Rs. 140

(b) Rs. 150

(c) Rs. 160

(d) Rs. 185

**Q8. The marked price of an article is 10% higher than cost price. A discount of 10% is given on marked price. In this kind of sale, the seller bears:**

(a) no loss no gain

(b) a loss of 5%

(c) a gain of 1%

(d) a loss of 1%

**Q9. There would be a 10% loss. If rice is sold at Rs. 54 per kg. To earn a profit of 20%, the price of rice per kg will be**

(a) Rs. 72

(b) Rs. 70

(c) Rs. 63

(d) Rs. 65

**Q10. The simple interest on Rs. 7,300 from 11 May, 1987 to 10 September, 1987 (both days included) at 5% per annum is**

(a) Rs. 123

(b) Rs. 103

(c) Rs. 200

(d) Rs. 223

**Solutions**

S1. Ans.(b)

Sol. Let salary = x

Expenditure of food= x×(40/100) =2x/5

Remaining salary = x-(2x/5) =3x/5

Expenditure of transport =(3x/5)×(1/3)=x/5

Total expenditure of food and transport =(x/5)+(2x/5)=3x/5

Remaining expenditure =x-(3x/5)=2x/5

According to the question,

(2x/5)×(1/2)=4500

x = 4500 × 5

x = 22500

S2. Ans.(a)

Sol. Total tree = x

Coconut = x × 60%

Mango = x × 60% × 25%

Apple = x × 60% × 25% × 20%

According to question,

1440=x×(60/100)×(25/100)×(20/100)

x = 48000

S3. Ans.(d)

Sol.

62 1/2%=5/8 (12 1/2%=1/8)

1st hour =5/8

Remaining =1-(5/8)=3/8

IInd hour =(3/8)×(1/8)

Total height = 192

According to question,

192×(3/8)×(1/8) = 9 meter

S4. Ans.(c)

Sol.

Loss%= (x/10)^2

=(10/10)^2

=(1)^2

Loss = 1%

S8. Ans.(d)

Sol. According to question,

Let CP of the article is = Rs. 100

MP is 10% high of CP mean = Rs. 110

Discount always given on marked price

10% discount of MP means

=(10/100)×110 = Rs. 11

∴ SP = MP – discount

SP = 110 – 11 = Rs. 99

∴ Loss% =((CP-SP )/CP) × 100

=((100-99)/100) × 100 =1%

S9. Ans.(a)

Sol.

S.P1/(100+a) = S.P2 /(100+b)

=54/(100-10)=(S.P2)/(100+20)

54/90=(S.P2)/120

S.P2=72

S10. Ans.(a)

Sol. Total days =

May June July Aug. Sept

21 + 30 + 31 + 31 + 10

= 123 days

By using formula,

SI =(7300 × 5 × 123)/(100 × 365) = Rs. 123