Question

96% of the cost of a TV is 10464. What is its total cost ? 70% of the students in a school are boys and the number of girls is 504. Find the
number of boys in the school?
​

Answer 1

Answer:

1. 96% of cost of a TV=10464

Remaining 4%= {(10464/96)x4}

ie 109x4

total cost=10464+109+109+109+109

Total Cost- ₹10900 Ans.

2. 70 percent students are boys

30 percent will be girls

no. of girls =504

So 504 girls=30%

1% of students= 504/30

=18

Percent of boys=70

Total no. of boys=70x18

=1260 boys Ans.

Answer 2

$\huge { \boxed{ \underline{ \sf{ \orange{Question?}}}}}$

• 96% of the cost of a TV is 10464.
• What is its total cost ? 70% of the students in a school are boys and the number of girls is 504. Find the number of boys in the school?

$\huge { \boxed{ \underline{ \sf{ \purple{Answer:- }}}}}$

Answer 1:-

The total cost of the T.V is Rs. 10900

Let us assume that the cost of the TV is Rs x

So the 96% of the TV is:-

$\mathsf{ (x \times(\frac{96}{100}))=\frac{96 x}{100}}$

It is given that, 96% of the cost of a TV is Rs.10464

Hence we can say,

$\hookrightarrow \sf\frac{96 x}{100} = 10464</p><p>$

$\hookrightarrow \sf96 x=10464 \times 100$

$\hookrightarrow \sf{96x=10464×100}$

$\hookrightarrow \sf x=\frac{10464 \times 100}{96}=10900$

• So, the cost of the TV is Rs 10900

Answer 2:-

Using formula of percentage

$\implies \tt30\%\ of\ X=50430$

$\implies \tt{\dfrac{30}{100}\times X=504 }$

$\implies \tt{X=504\times\dfrac{100}{30}}$

$\implies \tt{X=1680}$

• We need to calculate the number of boys in the school

X=number of girls + Number of boys

Put the value into the formula

$\tt{1680=504 + Number\ of\ boys}$

$\implies \tt {Number\ of\ boys=1680-504}$

$\implies \tt{Number\ of\ boys=1176}$

• Hence, The number of boys in the school is 1176.