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Vidaara.orgClass 8 · Mathematics
CodeVID-M08-21-PPL-01
Percentages & Profit/Loss - Assignment
Chapter: Percentages
Topic: Percentage Calculations and Profit & Loss
Maximum Marks: 35
Time: 75 minutes
Name: ____________________ Roll No.: __________ Date: ____________

General Instructions

  • All questions are compulsory.
  • Section A carries 1 mark each, Section B 2 marks, Section C 3 marks and Section D 5 marks.
  • Show all working for Sections B, C and D. Only final answers are given at the end — for full solutions, raise your doubts with your teacher.
Section A — Multiple Choice Questions 5 × 1 = 5 marks
1.
"Percent" means:
  • A.per ten
  • B.per hundred
  • C.per thousand
  • D.per unit
2.
$50\%$ as a fraction is:
  • A.$\tfrac15$
  • B.$\tfrac12$
  • C.$\tfrac14$
  • D.$\tfrac34$
3.
Profit $=$
  • A.CP $-$ SP
  • B.SP $-$ CP
  • C.SP $+$ CP
  • D.SP $\times$ CP
4.
Loss $=$
  • A.SP $-$ CP
  • B.CP $-$ SP
  • C.SP $+$ CP
  • D.CP $\times$ SP
5.
Profit$\%=$
  • A.$\tfrac{\text{Profit}}{\text{CP}}\times100$
  • B.$\tfrac{\text{Profit}}{\text{SP}}\times100$
  • C.Profit $\times$ CP
  • D.$\tfrac{\text{CP}}{\text{Profit}}$
Section B — Short Answer (2 marks) 4 × 2 = 8 marks
6.
Convert $25\%$ to a fraction.
7.
Find $10\%$ of $200$.
8.
Find the profit if CP $=$ Rs $80$, SP $=$ Rs $100$.
9.
Convert $0.75$ to a percentage.
Section C — Short Answer (3 marks) 4 × 3 = 12 marks
10.
Find $15\%$ of $300$.
11.
CP $=$ Rs $200$, SP $=$ Rs $250$. Find the profit$\%$.
12.
CP $=$ Rs $500$, loss $=$ Rs $50$. Find the loss$\%$.
13.
A number increased by $20\%$ becomes $120$. Find the number.
Section D — Long Answer (5 marks) 2 × 5 = 10 marks
14.
A shopkeeper buys an article for Rs $400$ and sells it for Rs $460$. Find the profit and profit$\%$.
15.
An article is sold for Rs $540$ at a loss of $10\%$. Find the cost price.

Answer Key

Section A — Multiple Choice Questions
  1. (B) per hundred
  2. (B) $\tfrac12$
  3. (B) SP $-$ CP
  4. (B) CP $-$ SP
  5. (A) $\tfrac{\text{Profit}}{\text{CP}}\times100$
Section B — Short Answer (2 marks)
  1. $\tfrac14$.
  2. $20$.
  3. Rs $20$.
  4. $75\%$.
Section C — Short Answer (3 marks)
  1. $45$.
  2. $25\%$.
  3. $10\%$.
  4. $100$.
Section D — Long Answer (5 marks)
  1. Profit Rs $60$; profit$\%$ $15\%$.
  2. Rs $600$.
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