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) |
| x + 3 = 0 | x = 3 |
Complete the last column of the table.
| Equation | Value | Say, whether the Equation is Satisfied. (Yes/No) |
| x + 3 = 0 | x = 0 |
Check whether the value given in the bracket is a solution to the given equation or not:
7n + 5 = 19 (n = 2)
Solve the following equation by trial and error method:
5p + 2 = 17
Write equation for the following statement:
2 subtracted from y is 8.
Simplify:
4x − (3y − x + 2z)
If x = 1, y = 2 and z = 3 then (x2 + y2 + z2) = ?
Write the following statement in the form of the equation:
If you subtract 5 from 6 times a number, you get 7.
The equation 4x = 16 is satisfied by the following value of x ______.
Meena, Beena and Leena are climbing the steps to the hill top. Meena is at step s, Beena is 8 steps ahead and Leena 7 steps behind. Where are Beena and Meena? The total number of steps to the hill top is 10 less than 4 times what Meena has reached. Express the total number of steps using s.
