Question

If 75 percent of a number is y. And, 80 percent of y is 60, then what is the number?
(A) 100
(B) 110
(C) 120
(D) 130

PLEASE EXPLAIN WITH SOLUTION :

Answer 1

Given:

We have given that 75 percent of a number is y. And, 80 percent of y is 60.

To Find:

We have to find the number x?

Step-by-step explanation:

• Let the number be x.
• We have that  75 percent of a number is y.
• First of all, we will calculate the 75% of x which is as below.

        $75\%of x=\frac{75}{100} x$

• We have given that 75% of x is equal to the y.
• Now we also have that 80% of y is 60
• First of all, we will calculate 80%of y which is as below.
• $80\% of y=\frac{80}{100}y$

• Now 80% of y is 60 which is written as

        $\frac{80}{100} y=60$

• Now cross multiply the above equation.

        $y=\frac{60\times100}{80} \\y=75$

• Now we put the value of y in the above written equation we get

       $\frac{75}{100} \times x=75$

• Now do the cross multiplication in the above equation

       $x=\frac{75\times 100}{75} \\x=100$

Hence, we get the number is 100.