Question

A number x is 52% of the another number y. If the sum of these two numbers is 57% of 800, then y is equal to :

(A) 300 (B) 512 (C) 156 (D) 148​

Answer 1

The answer is option (A) 300

GIVEN

A number x is 52% of the another number y. If the sum of these two numbers is 57% of 800.

TO FIND

The value of y

SOLUTION

We can simply solve the above problem as follows;

We are given;

x = 52% of y

x = (52/100) × y

x = 0.52y (Equation 1)

Also,

x + y = 57% of 800

Solving RHS

$= \frac{57}{100} \times 800 = 456$

Now,

x + y = 456 (Equation 2)

Putting the value of x from equation 1 to equation 2

0.52y + y = 456

1.52y = 456

y = 456/1.52

y = 300

Hence, The answer is option (A) 300

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Answer 2

Answer:

The answer is option (A) 300

GIVEN

A number x is 52% of the another number y. If the sum of these two numbers is 57% of 800.

TO FIND

The value of y

SOLUTION

We can simply solve the above problem as follows;

We are given;

x = 52% of y

x = (52/100) × y

x = 0.52y (Equation 1)

Also,

x + y = 57% of 800

Solving RHS

= \frac{57}{100} \times 800 = 456=

100

57

×800=456

Now,

x + y = 456 (Equation 2)

Putting the value of x from equation 1 to equation 2

0.52y + y = 456

1.52y = 456

y = 456/1.52

y = 300

Hence, The answer is option (A) 300