Question

please give me answer and solution with explain

Answer 1

$\boxed{ \text{1. Article: Book}}$

SP = ₹220

Profit = 10%

$CP = SP \times \frac{100}{100+profit \: percent} \\ \\ CP = 220 \times \frac{100}{100+10}\\ \\ CP =220 \times \frac{100}{110} = 200$

CP = ₹200
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$\boxed{ \text{2. Article: Bat}}$

SP = ₹190

Loss = 5%

$CP = SP \times \frac{100}{100 - loss \: percent} \\ \\ CP = 190 \times \frac{100}{100 - 5}\\ \\ CP =190\times \frac{100}{95} = 200$

CP = ₹200
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$\boxed{ \text{3. Article: Toys}}$

SP = ₹446

Profit = 11 1/2 % = 23/2 %

$CP = SP \times \frac{100}{100+profit \: percent} \\ \\ CP = 446 \times \frac{100}{100+ \frac{23}{2} } \\ \\CP = 446 \times \frac{100}{\frac{200 + 23}{2}} \\ \\CP = 446 \times \frac{200}{223}\\ \\ CP =2 \times 200 = 400$

CP = ₹400

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$\boxed{ \text{4. Article: Tea set}}$

SP = ₹1690

loss = 15 1/2 % = 31/2 %

$CP = SP \times \frac{100}{100 - loss \: percent} \\ \\ CP = 1690 \times \frac{100}{100 - \frac{31}{2} } \\ \\CP = 1690 \times \frac{100}{\frac{200 - 31}{2}} \\ \\CP = 1690 \times \frac{200}{169}\\ \\ CP =10 \times 200 = 2000$

CP = ₹2000

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Answer 2

(a) Book

Given,

SP = ₹220

Profit = 10%

We know that,

$CP = SP \times \frac{100}{100+profit } \\ \\ CP = 200$

(b) Bat

Given,

SP = ₹190

Loss = 5%

$CP = SP \times \frac{100}{100 - loss \: percent} \\ \\ CP = 190 \times \frac{100}{100 - 5}\\ \\ CP = 200$

(c) Toys

SP = ₹446

Profit = 23/2 %

$CP = SP \times \frac{100}{100+profit \: percent} \\ \\ CP = 446 \times \frac{100}{100+ \frac{23}{2} } \\ \\CP = 446 \times \frac{100}{\frac{200 + 23}{2}} \\ \\ CP =2 \times 200 = 400$

(d) Tea set

SP = ₹1690

loss = 31/2 %

$CP = SP \times \frac{100}{100 - loss \: percent} \\ \\ CP = 1690 \times \frac{100}{100 - \frac{31}{2} } \\ \\CP = 1690 \times \frac{100}{\frac{200 - 31}{2}} \\ \\CP = 1690 \times \frac{200}{169}\\ \\ CP =10 \times 200 = 2000$