Question

5. Find the S.P. for each of the following.
(0) C.P. = 20; profit = 10%
(ii) C.P. = 12.60; loss = 13-%
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Answer 1

Answer:

(0)let profit be x

:.(x/20) *100 = 10

:.100x=200

:.x=₹2

:.SP = CP + profit = 20+ 2 = ₹22

(ii)let loss be x

:.(x/12.6) *100 = 13

:.100x=12.6*13

:.x=₹163.8/100 = ₹1.638

:.SP = CP - Loss = 12.600 - 1.638 = ₹10.962

Answer 2

Answer:

C P : Cost Price

S P : Selling Price

P : Profit

L : Loss

Step-by-step explanation:

$i) \\ C \: P :₹ \: 20 \\P : 10\% \\ S \: P : \: \: ? \\ \\ P \: \% = \frac{P}{C \: P} \times 100 \\ 10 = \frac{P}{20} \times 100 \\ 10 \times 20 = P \times 100 \\ \frac{200}{100} = P \\ { \boxed{ \bf{ \underline{ \underline2 }}= P}} \\ \\ P = S \: P - C \: P \\ 2 = S \: P - 20 \\ 2 + 20 = S \: P \\ { \boxed{ \bf{ \underline{ \underline{22 }}= S \: P}}} \\ \\ ii) \\ C \: P :₹ \: 12.60 \\ L: 13\% \\ S \: P : \: \: ? \\ \\ L \: \% = \frac{L}{C \: P} \times 100 \\ 13 = \frac{L}{12.60} \times 100 \\ 13 \times 12.60 = L\times 100 \\ \frac{163.80}{100} = L\\ { \boxed{ \bf{ \underline{ \underline{1.638}}}=L }} \\ \\ L = C\: P - S \: P \\ 1.638 = 12.6 - S \: P \\ S \: P = 12.60 - 1.638 \\ { \boxed{ \bf{S \: P = { \underline{ \underline{10.962}}}}}}$