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Downstream speed = 8 + 2 =10Km/hr Thus, X becomes 4x in = 4 + 4 = 8 years
Upstream Speed = 8 – 2 =6Km/hr 8. Sol: (d)
Let Distance travelled = X Let the number be X
16 91 - (30X/100) = X
( ) + ( ) = ( )
10 6 5 9100 – 30X = 100X
X =12Km 9100 = 130X
Total distance =12+12 =24Km. x = 9100/130
3. Sol: (a) Hence, X = 70.
Distance (Train Length) = 110m 9. Sol: (c)
Since Train and man are moving in opposite 445 = 5 × 89
direction, 356 = 2 × 2 × 89
Relative Speed =Speed of train +Man’s Speed HCF = 89
= 60 + 10 =70 Km/hr Hence, Number of classes required = 445 + 356
= 70 * (5/18) m/sec = 5 + 4 = 9 89 89
= ( 175 ) m/sec
9 10. Sol: (a)
Therefore, Time taken to pass the man SP of First TV = Rs. 3000
= (110 ∗ 9 ) Profit =15%
175 100
= 5.65 sec Thus, CP of First TV = ( 115 ∗ 3000) = . 2609
4. Sol: (d) Therefore, Profit of First TV =SP – CP
240 chocolates =240/12 =20 dozens = 3000 – 2609 = Rs.391
1 dozen = Rs.9 => 20 dozens = Rs.180 Loss % on Second TV = 10%
Cost price =Rs.180 Thus, CP of Second TV = ( 100 ∗ 391) = . 3910
Selling price =240 * 1 =Rs.240 10
11. Sol: (c)
Gain = 240 – 180 = 60 Total number of Votes =6000
Gain % = ( 60 ) ∗ 100 = 33.33% 75
180 Number of valid votes = ( ∗ 6000) = 4500
5. Sol: (c) 100
50 Bikhu got 55% vote.
+ 84 =X 55
100 = ( ∗ 4500) = 2475
− = -84 100
2 Therefore Mahtre got remaining vote,
− 2 = −168 = 4500 – 2475 = 1525.
X = 168 12. Sol: (b)
6. Sol: (a) SP of one Tablet = Rs.12000
Total age of 4 members, 10 years ago = (24 x 4) years SP of Smartphone = Rs.12000
= 96 years. Cost price of Smartphone =( 12000 × 100
Total age of 4 members now = [96 + (10 x 4)] years 12000×100 75 ) = 16000
= 136 years. Cost price of Tablet = ( ) = 10000
120
Tota l age of 6 members now = (24 x 6) years Total Cost price =16000 + 10000 = 26000
= 144 years. Loss = 26000 – 24000 = 2000
Sum of the ages of 2 children = (144 - 136) years Loss % =( 2000 ) × 100 ≈ 7.7%
= 8 years. 26000
13. Sol: (b)
Let the age of the younger child be X years.
Then, age of the elder child = (X+2) years. 77/100 = 77%
So, Age of younger child = 3 years. 96/150 = 64%
7. Sol: (b) 103/350≈ 30% 77%+64%+30%
X becomes 2X in 4 years Percentage average = =57%
3
2X becomes 4X in next 4 years 14. Sol: (c)