Ques 1.
A shopkeeper allows 10% discount on goods when he sells without credit. Cost price of his goods is 80% of his selling price. If he sells his goods by cash then his profit percent is
Solution :
S.p = 100
C.P = 80
Profit = 100-80 = 20
profit percent =20/80×100=25%
Ques 2.
A speaks the truth 3 times out of 4, B 7 times out of 10. They both assert that a white ball is drawn from a bag containing 6 balls, all of different colors. Find the probability of the truth of the assertion.
= (1/6)*(3/4)*(7/10)
= 7/80
Ques 3.
A can do a certain work in the same time in which B and C together can do it. If A and B together could do it in 10 days and C alone in 50 days, then B alone could do it in?
Solution:
A = B+C
==> A-B = C
A + B = 1/10
A - B = 1/50
Subtracting
2B = 1/10 - 1/50 = 2/25
B = 1/25
Ques 4.
The ratio between length and breadth of a rectangular plot is 5 : 3 respectively and its perimeter is 48 metres. What will be its area in sq metres ?
Solution :
Perimeter = 2(Length + Breadth)
48 = 2(5x + 3x)
==>x = 48/16=3
Area = (5 × 3) × (3 × 3) = 15 × 9 = 135 m2
Ques 5.
The interest earned on Rs 15,000 in three years at simple interest is Rs 5,400. Find the rate per cent per annum.
Solution :
Rate = (5400*100)/(15000*3) = 12%
Ques 6.
X and Y started a business investing Rs 85,000 and Rs 15,000 respectively. In what ratio the profit earned after 2 years bedivided between X and Y respectively ?
Solution :
Ratio = 12 × 2 × 85000 : 12 × 2 × 15000 = 17 : 3
Ques 7.
Rani bought a piece of cloth for Rs 950 and spent Rs 300 on designing it. At what price should she sell it to make 30% profit?
Solution :
Actual cost price of cloth = Rs (950 + 300) = Rs 1250
To gain 30%,
SP = (130*1250)
/100= Rs 1625
Ques 8.
6 typists can do a piece of work in 8 hours. If 3 more typists whose speed is double work together, then the work will be finished in how many hours?
Solution :
==> (6*8) = ((6*1)+(3*2))*x
==>48= 12x
==> X= 4days
Ques 9.
207 students appeared in an examination out of 276 registered students. Find out the approx ratio between registered to the appeared students.
Solution :
Required ratio = 276 : 207 = 4 : 3
Ques 10.
Price of a tv set is rs10,000. It can be received 3000 cashdown paymnt and in 6 equal monthly installmnts of 1300. What is rate
Solution :
After down-payment.. 7000 rupees to be pay..
So..1300*6=7800
Si=800
Use p*r*t/100=si
==>(7000*6*r) = 800
==> r = 17.5%
