Advertisements
Advertisements
प्रश्न
Anushka and Aarushi are friends. They have equal amount of money in their pockets. Anushka gave `1/3` of her money to Aarushi as her birthday gift. Then Aarushi gave a party at a restaurant and cleared the bill by paying half of the total money with her. If the remaining money in Aarushi’s pocket is Rs.1600, find the sum gifted by Anushka.
Advertisements
उत्तर
Let Anushka and Aarushi have equal amount of money in their pocket, which is ₹ x.
After giving `1/3` of the money of Anushka to Aarushi,
Amount of Aarushi = `₹ (x + x/3)`
According to the question,
`(x + x/3) - 1/2 xx (x + x/3) = 1600`
⇒ `(x + x/3)(1 - 1/2) = 1600`
⇒ `(x + x/3)xx 1/2 = 1600`
⇒ `(3x + x)/3 = 1600 xx 2`
⇒ `(4x)/3 = 3200`
∴ `x = 3200 xx 3/4 = 2400`
So, money gifted by Anushka = `1/3` of 2400
= `1/3 xx 2400`
= ₹ 800
APPEARS IN
संबंधित प्रश्न
Complete the last column of the table.
| Equation | Value | Say, whether the Equation is Satisfied. (Yes/No) |
| 5x = 25 | x = -5 |
Add 7y, −9y
Add
3a − 2b + 5c, 2a + 5b − 7c, − a − b + c
Write the following statement as an equation:
6 times a number is 5 more than the number.
Solve the following equation and verify the answer:
`x/5`=12
Write 'T' for true and 'F' for false for the statement given below:
2x + 3 = 5 is a linear equation.
When a number is divided by 8, the result is –3. The number is ______.
Two consecutive even integers.
State which of the following are equations (with a variable). Give reason for your answer. Identify the variable from the equations with a variable.
(t − 7) > 5
Solve the following riddles, you may yourself construct such riddles.
| Who am I? |
 |
| Go round a square Counting every corner Thrice and no more! Add the count to me To get exactly thirty four! |
