Question

The commission of a person is increased from 5 percent to 8 percent. If actual increase in commission is 3000rs, what was the value of commission he was getting originally? what is the value of increased commission?
Answer with explanation :- 5000rs , 8000rs​

Answer 1

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Q) The commission of a person is increased from 5 percent to 8 percent. If actual increase in commission is 3000 rs, what was the value of of the commission he was getting originally? What is the value of increased commission ?

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$\bf{Given}\begin{cases}\rm{The\;commission\;is\;increased\;from\;\bf{5\:percent}\; to \;\bf{8 \:percent.}}\\ \rm{Actual\;increase\;in\;commission=\bf{3000\:Rs.}}\end{cases}$

$\bf{To\:Find}\begin{cases}\rm{Original\;Commision}\\ \rm{New\:(increased) \;Commision}\end{cases}$

❀ Solution :

$\bull \sf \: increase \: in \: commision = 8\% - 5 \%$

$\rightarrow \sf \: increase \: in \: commission \: = \purple{ \bf{ 3 \: \%}}$

Also ,

$\rightarrow \sf \: increase \: in \: commission = \pink{ \bf{3000 \: rs}} \: .$

Now ,

• Let the income be x Rs.

$\mapsto \sf \: increase \: in \: commission = 3 \: \% = 3000 \: rs$

$\mapsto \sf \: \cancel{3000} \: rs = \frac{ \cancel3}{100} \times \rm{x} \\ \\ \mapsto \sf \: 1000 \: rs \times 100 = x \\ \\ \leadsto \underline{ \boxed{ \rm{x = \red{\bf{100000 \: rs}}}}}$

So,

$\mapsto \sf \: original \: commission = 5 \: \% \\ \\ \sf \implies5 \: \% \: of \: 100000 \\ \\ \implies \sf \: \frac{5}{ \cancel{100} } \times 1000{ \cancel{00}} \\ \\ \implies \sf \: 5 \times 1000 \: rs \\ \\ \leadsto \: \underline{ \boxed{ \rm{original \: commission = \bf\pink{5000 \: rs}}}}$

And

$\mapsto \sf \: new \: (increased) \: commission = 8 \: \% \\ \\ \implies \sf \: 8 \: \% \: of \: 100000 \\ \\ \implies \sf \: \frac{8}{ \cancel{100}} \times 1000\cancel{00} \\ \\ \implies \sf \: 8 \times 1000 \: rs \\ \\ \leadsto \underline{ \boxed{ \rm{new \: (increased) \: commision = \bf\purple{8000 \: rs}}}}$

So , Final Answers :

• Original Commision = ₹ 5000 .
• New (Increased) Commission = ₹ 8000 .

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Answer 2

Step-by-step explanation:

is u r answer hope this helps u