Selina solutions

Selina solutions

Selina solutions

Grade 7

CHAPTERS

3. Fractions (Including Problems)

4. Decimal Fractions (Decimals)

5. Exponents (including Laws of Exponents)

6. Ratio and Proportion (Including Sharing in a Ratio)

7. Unitary Method (including Time and Work)

11. Fundamental Concepts (Including Fundamental Operations)

12. Simple Linear Equations (Including Word Problems)

13. Set Concepts (Some Simple Divisions by Vedic Method)

14. Lines and Angles (Including Construction of angles)

17. Symmetry (Including Reflection and Rotation)

18. Recognition of Solids (Representing 3-D in 2-D)

Q1) Find the gain or loss percent, if

(i) C.P. = Rs. 200 and S.P.: = Rs. 224

(ii) C.P. = Rs. 450 and S.P. = Rs. 400

(iii) C.P. = Rs. 550 and gain = Rs . 22

(iv) CP. = Rs. 216 and loss = Rs. 72

(v) S.P. = Rs. 500 and loss : = Rs. 1100

(vi) S.P. = Rs. 12 and profit = Rs. 4

(vii) C.P. = Rs. 5 and gain = 60 P

Solution:

(i) CP = Rs. 200 and SP = Rs. 224

∴ Gain = SP - CP = Rs. 224 - Rs. 200 = Rs. 24

Gain% = \frac{gain\times100}{CP}=\frac{24\times100}{200}=12\%

(ii) CP = Rs. 450 and SP = Rs. 400

∴ Loss = CP - SP = 450 - 400 = Rs. 50

Loss% = CP - SP = 450 - 400 = Rs. 50

Loss% = \frac{Loss\times100}{CP}=\frac{50\times100}{450}=\frac{100}{9}=11\frac{1}{9}\%

(iii) CP = Rs. 550 and gain = Rs. 22

∴ SP = CP + gain = 550 + 22 = 572

Gain% = \frac{Gain\times100}{CP}=\frac{22\times100}{550}=4\%

(iv) CP = Rs. 216 and loss = Rs. 72

∴ SP = CP - loss = 216 - 72 = Rs. 144

Loss% = \frac{Loss\times100}{CP}=\frac{72\times100}{216}=\frac{100}{3}=33\frac{1}{3}\%

(v) SP = 500 and loss = Rs. 100

∴ CP = SP + loss = 500 + 100 = Rs. 600

Loss% = \frac{Loss\times100}{CP}=\frac{100\times100}{600}=\frac{50}{3}=16\frac{2}{3}\%

(vi) SP = Rs. 12 and profit = Rs. 4

∴ CP = SP - gain = Rs. 12 - Rs. 4 = Rs. 8

Gain% = \frac{Gain\times100}{SP}=\frac{4\times100}{8}=50\%

(vii) CP = Rs. 5 and gain = 60 P

∴ SP = CP + gain = Rs. 5 + 60 P = 5.60 Rs.

Gain % = \frac{Gain\times100}{CP}=\frac{0.60\times100}{5}=\frac{60\times100}{100\times5}=12\%

Still have questions? Our expert teachers can help you out

Book a free class nowFractions (Including Problems)

Exponents (including Laws of Exponents)

Ratio and Proportion (Including Sharing in a Ratio)

Unitary Method (including Time and Work)

Fundamental Concepts (Including Fundamental Operations)

Simple Linear Equations (Including Word Problems)

Set Concepts (Some Simple Divisions by Vedic Method)

Lines and Angles (Including Construction of angles)

Symmetry (Including Reflection and Rotation)

Recognition of Solids (Representing 3-D in 2-D)

Q1) Find the gain or loss percent, if

(i) C.P. = Rs. 200 and S.P.: = Rs. 224

(ii) C.P. = Rs. 450 and S.P. = Rs. 400

(iii) C.P. = Rs. 550 and gain = Rs . 22

(iv) CP. = Rs. 216 and loss = Rs. 72

(v) S.P. = Rs. 500 and loss : = Rs. 1100

(vi) S.P. = Rs. 12 and profit = Rs. 4

(vii) C.P. = Rs. 5 and gain = 60 P

Solution:

(i) CP = Rs. 200 and SP = Rs. 224

∴ Gain = SP - CP = Rs. 224 - Rs. 200 = Rs. 24

Gain% = \frac{gain\times100}{CP}=\frac{24\times100}{200}=12\%

(ii) CP = Rs. 450 and SP = Rs. 400

∴ Loss = CP - SP = 450 - 400 = Rs. 50

Loss% = CP - SP = 450 - 400 = Rs. 50

Loss% = \frac{Loss\times100}{CP}=\frac{50\times100}{450}=\frac{100}{9}=11\frac{1}{9}\%

(iii) CP = Rs. 550 and gain = Rs. 22

∴ SP = CP + gain = 550 + 22 = 572

Gain% = \frac{Gain\times100}{CP}=\frac{22\times100}{550}=4\%

(iv) CP = Rs. 216 and loss = Rs. 72

∴ SP = CP - loss = 216 - 72 = Rs. 144

Loss% = \frac{Loss\times100}{CP}=\frac{72\times100}{216}=\frac{100}{3}=33\frac{1}{3}\%

(v) SP = 500 and loss = Rs. 100

∴ CP = SP + loss = 500 + 100 = Rs. 600

Loss% = \frac{Loss\times100}{CP}=\frac{100\times100}{600}=\frac{50}{3}=16\frac{2}{3}\%

(vi) SP = Rs. 12 and profit = Rs. 4

∴ CP = SP - gain = Rs. 12 - Rs. 4 = Rs. 8

Gain% = \frac{Gain\times100}{SP}=\frac{4\times100}{8}=50\%

(vii) CP = Rs. 5 and gain = 60 P

∴ SP = CP + gain = Rs. 5 + 60 P = 5.60 Rs.

Gain % = \frac{Gain\times100}{CP}=\frac{0.60\times100}{5}=\frac{60\times100}{100\times5}=12\%

Still have questions? Our expert teachers can help you out

Book a free class nowLido

Courses

Race To Space

Quick Links

Terms & Policies

Terms & Policies