Let Raju's age at the time of his marriage = X years
Then from given data
=> X + 8 = 6/5 X
X = 40.
Since got married 8 years ago, his present age = 48
His sister is 10 years younger => 48 - 10 = 38 years.
3/10 + 5/100 + 8/1000
= 0.3 + 0.05 + 0.008
= 0.358
Let use assume the fixed charge = ? a
and charge for 1 km is ? = b
According to question,
for 10 KM journey charge paid = 85
a + 10 x b = 85
a + 10b = 85 .........................(1)
for 15 KM journey charge paid = 120
a + 15b = 120.........................(2)
Subtract the equation (1) from equation (2). we will get,
a + 15b - a - 10b = 120 - 85
5b = 35
b = 7
Put the value of b in equation (1). we will get
a + 10 x 7 = 85
a = 85 - 70
a = 15
Charges for 25 km = a + 25 x b
Put the value of a and b in above equation.
Charges for 25 km =15 + 25 x 7 = 15 + 175 = 190
Charges for 25 km =?190
∴ B's share = Rs. | ❨ | 25000 x | 3 | ❩ | = Rs. 7,500. |
10 |
Let us assume the number is P.
According the question,
three -seventh of a number = 3/7 x P
one -fourth of three -seventh of a number = 1/4 x 3/7 x P
Two-fifths of one -fourth of three -seventh of a number = 2/5 x 1/4 x 3/7 x P
? 2/5 x 1/4 x 3/7 x P = 15
? 2 x 1 x 3 x P = 15 x 7 x 4 x 5
? P = 15 x 7 x 4 x 5 / 2 x 3
? P = 5 x 7 x 2 x 5
? P = 350
? P /2 = 350/2
? P /2 = 175
The century divisible by 400 is a leap year. 2100 is not divisible by 400 hence is not a leap year so 2100 is not a leap year, out of remaining 1128 is divisible by 4, so 1128 is a leap year.
Then, number = 10x + y.
Number obtained by interchanging the digits = 10y + x.
∴ (10x + y) + (10y + x) = 11(x + y), which is divisible by 11.
First 3-digit number divisible by 6 is 102 and last 3-digit number divisible by 6 is 996.
Difference between two consecutive numbers divisible by 6 is 6.
So 3-digit numbers divisible by 6 are 102,108,114, ......., 996.
This is an Arithmetic Progression in which a = 102, d = 6 and l = 996.
where a = First Number , l = Last Number and d = difference of two consecutive numbers.
Let the number of terms be n. So Last term = tn
Then tn = 996
Use the formula for n terms of arithmetic progression.
? a + ( n - 1) x d = 996
? 102 + (n - 1) x 6 = 996
? 6(n - 1) = 894
? (n - 1) = 149
? n = 150
? Numbers of terms = 150
Here , Cost of 1 chair = Rs. 214 and cost of one table = Rs. 937 .
? Cost of 6 dozen chairs = 6 × 12 × 214 = Rs. 15408
and cost of 4 dozen tables = 4 × 12 × 937 = Rs. 44976
? Total cost = 15408 + 44976
Total cost = Rs. 15408 + 44976 = Rs. 60384
Total cost of chairs and tables ? Rs. 60000 (Approximately)
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