Question

If the number B is 10% less than another number C and C is 5% more than 150 , then B is equal to

Answer 1

Question:

If the number B is 10% less than another number C and C is 5% more than 150 , then find the value of B.

Answer:

B = 141.75

Solution:

As per the question, we have;

B is 10% less than C .

=> B = C - 10% of C

=> B = C - (10/100)•C

=> B = C - C/10

=> B = (10•C - C)/10

=> B = 9•C/10 ----------(1)

Also;

C is 5% more than 150.

=> C = 150 + 5% of 150

=> C = 150 + (5/100)•150

=> C = 150 + 5•150/100

=> C = 150 + 15/2

=> C = 150 + 7.5

=> C = 157.5 ----------(2)

From eq-1 and 2 , we have;

=> B = 9•C/10

=> B = 9•157.5/10

=> B = 9•15.75

=> B = 141.75

Hence,

The required value of B is 141.75

Answer 2

$\begin{lgathered} \red{\bf{Given}}\begin{cases} \sf \: B \: is \: 10 \% \: less \: than\:C \\ \sf \: C \: is \: 5 \% \: more \: than \: 150.. \\ \green{\bf \: find \: B} \: \end{cases}\end{lgathered}$

$\underline {\underline{\LARGE{{\bf{\green{S}}}{\mathfrak{o}}{\mathfrak{\orange{l}}}{\mathfrak{\red{u}}}{\mathfrak{\pink{t}}}{\mathfrak{\purple{i}}}{\mathfrak{\blue{o}}}{\mathfrak{\red{n}}}}}} : \:$

→ It is given that , B is 10% less than C.

That , Means ,

$\blue{\textbf{B = (100-10) = 90\% of C..}}$

$\red\longrightarrow \boxed{\sf B = 90\%C}$

___________________________________

→ it is given that C is 5% more than 150.

That Means ,

C = (100+5)% of 150

$\large\red{\boxed{\sf C\:=\:105\%\:of\:150...}}$

$\red\longrightarrow \bf C \: = \dfrac{150 \times 105}{100} \\ \\ \red\longrightarrow \boxed{\bf C = 157.5}$

___________________________________

Putting Value of C Now, we get,,

$\sf \: B = 90\% \: of \: 157.5 \\ \\ \red\leadsto \sf \: B = \dfrac{90 \times 157.5}{100} \\ \\ \red\leadsto \sf \: \pink{\large\boxed{\boxed{\bold{B=141.75}}}} \:$

Hence, value of B is 141.75 ..

$\large\underline\textbf{Hope it Helps You.}$

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