Ques 1.
Gold 19 times as heavy as water & copper is 9 times as heavy as water.In what ratio should these be mixed to get an alloy 15 times as heavy as water?
Solution :
19. 9
15
6. 4
ratio = 3:2
Ques 2.
3 containers have their volumes in ratio 3:4:5.They r full of milk & water.The mixture contains milk & water in ratio(4:1),(3:1) & (5:2). The contents of all these 3 containers r poured into 4th container.The ratio of milk & water in 4th container is?
Solution :
Milk = (4*3/5)+(3*4/4)+(5*5/7)=314/35
Water = (1*3/5)+(1*4/4)+(2*5/7)=106/35
Milk : Water = 157:53
Water = (1*3/5)+(1*4/4)+(2*5/7)=106/35
Milk : Water = 157:53
Ques 3.
A man purchased 2 articles at the same price. One he sold at 20%. Profit, While other sold at the loss of, half of the 1 Profit. Finally what was the Profit percentage?
Solution :
one article c.p = 100, another article c.p=100
first article sold with 20% profit , so S.P = 120
Second article sold with 20/2% loss, so S.P = 90
total C.P =100+100=200
total S.P = 120+90 =210
overall profit % = (10*100)/200=5%
Ques 4.
Vishal invested 2/11 th part of his monthly income in stocks share and that of 4/11th part in mutual fund. He spent the remaining amount on domestic needs and apparel in the ratio 5 : 3 respectively. The expenditure on domestic needs was Rs.2100. What is his annual income?
Solution :
Total = X
Remaining =X-(2X/11 + 4X/11) = 5X/11
Domestic needs and appeals ratio = 5:3
5--------2100
3 -------- ?
appeals = 1260
Domestic need and appeals = 2100+1260=3360
5X/11 = 3360
Monthly Salary X= 7392
yearly salary = 7392*12=88,704
Ques 5.
The sum salary of A,B AND C is 72000.They spend 80%,85 % and 75% of their salary.If the ratio of their savings is 8:9:20.what is the salary of A?
Solution :
20A : 15B: 25C = 8:9:20
A=2, B= 3, C = 4
A salary = (2*72000)/9 = 16000
Ques 6.
X invest 4000 more than Y . If the total profit at the end of the year is 8000 and Y's share in profit is 3200, calculate the amount invested by X.
Solution:
X profit =8000-3200=4800
profit ratio X: Y= 4800:3200=3:2
difference in ratio =3-1=1
difference in amount = 4000
1 unit --------4000
3 units ------- X
X amount = 12000
Ques 7.
A is 3 times as fast as B. B worked for 6 days and then A joined. Total it took 12 days to complete the work. In how many days A can finish the work alone.
Solution :
A efficiency = 3
B efficiency = 1
B works 6days , so B completed work = 1*6= 6 units
Remaining 6 days A and B working together and finished work = (3+1)*6= 24 units
Total Work = 24+6 = 30Units
A alone finish this work in days = 30/3=10days
Ques 8.
The difference between SI invested @ 12% for 3 years and 5 Years is 2880. Find the Sum.
Solution :
In 1st case rate * time = 12*3 =36%
2nd case rate *time = 12*5=60%
difference = 60-36=24%
difference interest = 2880
24% --------2880
100% ------- X
Sum (X) = 12,000
Ques 9.
The sum of perimeter of two Squares, Square A and Square B is 84m. Side of Square B 3m more than side of squareB. Find the area of SquareA.
Solution :
square A side = x
square B side = x+3
sum perimeters = 4x +4(x+3) = 8x+12
==> 8x +12=84
==>X=9
Area square A = 9*9= 81sq.m
Ques 10.
4, 3, 5, 14, 55, ?
Solution :
4*1 -1=3
3*2-1 = 5
5*3-1 = 14
14*4-1=55
14*4-1=55
55*5-1 =274
