Question

8) Find 30 % of 1 kg.
9) If C.P. = 1250, S.P. 1150, Find the loss of gain.
10) If C.P. = 200 Rs. , Profit = 20 Rs., What is S.P?
11) Find the cost price when S.P. = Rs. 3150 and
gain % = 5%.
12) If 55 % of a number is 11. Find the number,
13) Evaluate the cube of 0.3​

Answer 1

Answer:

30/100×1000g=300g

no ans.

no ans

no ans

55/100×x=11;then x=11×100/55

Answer 2

${\huge{\frak{\underline{\underline{Solution\checkmark}}}}}$

${\bf{Q) \: Find \;30\% \;of \;1\;Kg}}$

Ans)

• 1 kg = 1000 g

$\sf \mapsto \: 30 \: \% \: of \: 1 \: kg = 30 \: \% \: of \: 1000 \: g \\ \\ \colon \implies \sf \: \frac{30}{ \cancel{100}} \times 10 \cancel{00} \: g \\ \\ \colon \sf\implies \: 30 \times 10 \: g \\ \\ \underline{ \boxed{ \bf{30 \: \% \: of \: 1 \: kg = \pink{300 \: g}}}}$

${\bf{Q)\:If\;CP=1250 \:Rs , SP= 1150\:Rs .Find\:loss\:or\:gain.}}$

Ans)

• CP = 1250 Rs
• SP = 1150 Rs

Since ,

→ CP > SP,

it would be loss.

$\mapsto \sf \: loss = cp - sp \\ \\ \mapsto \sf \: loss = 1250 - 1150 \: rs \\ \\ \leadsto \underline{ \boxed{ \bf{loss = \blue{100 \: rs}}}}$

${\bf{Q)\:If\:CP=200 \:Rs ,Profit=20\:Rs,what \:is\;SP}}$

Ans)

• CP = 200 Rs
• Profit = 20 Rs

$\mapsto \sf \: sp = cp + profit \\ \\ \mapsto \sf \: sp = 200 \: rs + 20rs \\ \\ \mapsto \underline{ \boxed{ \bf{sp = \purple{220 \: rs}}}}$

${\bf{Q)\:Find\:the\:CP\:when\:SP=Rs\:3150\;and\;gain\;\%=5\%}}$

Ans)

• SP = 3150 Rs
• Gain% = 5 %

$\mapsto \sf \: cp = \frac{sp \times 100}{100 + profit \: \%} \\ \\ \mapsto \sf \: cp = \frac{3150 \times 100}{100 + 5} \\ \\ \mapsto \sf \: cp = \frac{ \cancel{3150} \times 100}{ \cancel{105}} \\ \\ \mapsto \sf \: cp = 30 \times 100 \: rs \\ \\ \leadsto \underline{ \boxed{ \bf{cp = \orange{3000 \: rs}}}}$

${\bf{Q)\:If\;55\%\;of\;a\;number\;is\;11,Find\;the\;number}}$

Ans)

• Let the number be x.

$\mapsto \sf \: 55 \: \% \: of \: x = 11 \\ \\ \mapsto \sf \: \frac{ \cancel{55}}{100} \times x = \cancel{11 }\\ \\ \mapsto \sf \: \frac{ \cancel5}{ \cancel{100}} \times x = 1 \\ \\ \mapsto \sf \: x = 1 \times 20 \\ \\ \leadsto \underline{ \boxed { \bf{x = \green{20}}}}$

${\bf{Q) \:Evaluate\;the\;cube\;of\;0.3}}$

Ans)

$\sf \rightarrow \: cube \: of \: 0.3 = {(0.3)}^{3} \\ \\ \rightarrow \sf \: {(0.3)}^{3} = 0.3 \times 0.3 \times 0.3 \\ \\ \leadsto \underline{ \boxed{ \bf{ {(0.3)}^{3} = \red{0.027}}}}$

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