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ML Aggarwal Class 8 Solutions for ICSE Maths Chapter 8 Simple and Compound Interest Ex 8.2

Question 1.
Calculate the compound interest on ₹6000 at 10% per annum for two years.
Solution:

Question 2.
Salma borrowed from Mahila Samiti a sum of ₹ 1875 to purchase a sewing machine. If the rate of interest is 4% per annum, what is the compound interest that she has to pay after 2 years?
Solution:

Question 3.
Jacob invests ₹12000 for 3 years at 10% per annum. Calculate the amount and the compound interest that Jacob will get after 3 years.
Solution:

Question 4.
A man invests ₹46875 at 4% per annum compound interest for 3 years.
Calculate:
(i) the interest for the first year.
(ii) the amount standing to his credit at the end of second year.
(iii) the interest for the third year.
Solution:

Question 5.
Calculate the compound interest for the second year on ₹6000 invested for 3 years at 10% p.a. Also find the sum due at the end of third year.
Solution:

Question 6.
Calculate the amount and the compound interest on ₹5000 in 2 years when the rate of interest for successive years is 6% and 8% respectively.
Solution:

Question 7.
Calculate the difference between the compound interest and the simple interest on ₹20000 in 2 years at 8% per annum.
Solution:

ML Aggarwal Class 8 Solutions for ICSE Maths

ML Aggarwal Class 8 Solutions for ICSE Maths Chapter 8 Simple and Compound Interest Ex 8.1

Question 1.
Find the simple interest on ₹4000 at 7.5% p.a. for 3 years 3 months. Also, find the amount.
Solution:

Question 2.
What sum of money will yield ₹170·10 as simple interest in 2 years 3 months at 6% per annum?
Solution:

Question 3.
Find the rate of interest when ₹800 fetches ₹130 as a simple interest in 2 years 6 months.
Solution:

Question 4.
Find the time when simple interest on ₹3·3 lakhs at 6·5% per annum is ₹75075.
Solution:

Question 5.
Find the sum of money when
(i) simple interest at 7\(\frac{1}{4}\)% p.a. for years is ₹2356·25
(ii) the final amount is ₹ 11300 at 4% p.a. for 3 years 3 months.
Solution:

Question 6.
How long will it take a certain sum of money to triple itself at 13\(\frac{1}{3}\)% per annum simple interest?
Solution:

Question 7.
At a certain rate of simple interest ₹4050 amounts to ₹4576·50 in 2 years. At the same rate of simple interest, how much would ₹1 lakh amount to in 3 years?
Solution:

Question 8.
What sum of money invested at 7.5% p.a. simple interest for 2 years produces twice as much interest as ₹9600 in 3 years 6 months at 10% p.a. simple interest?
Solution:

ML Aggarwal Class 8 Solutions for ICSE Maths

ML Aggarwal Class 8 Solutions for ICSE Maths Chapter 7 Percentage Check Your Progress

Question 1.
Convert \(\frac{7}{24}\) into a percentage correct to foursignificant figures.
Solution:

Question 2.
Express 750 mL as a percentage of 4 litres.
Solution:

Question 3.
A football team won 9 matches out of the total number of matches they played. If their win percentage was 45, then how many matches did they play in all?
Solution:

Question 4.
In a straight student election, Rahul got 66% of the votes polled. If the defeated student got 187 votes, find the total number of votes polled.
Solution:

Question 5.
36 kg of gunpowder contains 27 kg nitre, 5.4 kg charcoal and rest sulphur. Find the percentage content of sulphur in the gunpowder.
Solution:

Question 6.
75% of the students in a class passed an exam. If 2 more students had passed the exam. 80% would have been successful. How many students are there in the class ?
Solution:

Question 7.
The monthly salary of a school teacher in 2007 was ₹12000. It increased by 10% in 2008 and again by 10% in 2009. What is his salary in 2009?
Solution:

Question 8.
Price of a commodity decreased by 10% last year and increased by 20% this year. Find the percentage change in two years.
Solution:

Question 9.
A shop gives a 15% discount. What would the sale price of each of these be?
(i) A dress marked at ₹150
(ii) A pair of shoes marked at ₹800.
Solution:

Question 10.
A refrigerator marked at ₹18000 is available for ₹17100. Find the discount given and the discount percent.
Solution:

Question 11.
Ramu purchased 20 parrots at ₹30 each. Two parrots flew away and Ramu sold the rest of the parrots at ₹40 each. Calculate the profit or loss percentage of Ramu.
Solution:

Question 12.
Reena bought two tables for ₹ 1800 each. She sold one at a loss of 8% and the other at a profit of 12%. Find the selling price of each. Also, find out the total profit or loss.
Solution:

Question 13.
Ajit bought an old car ₹78000. He spent ₹2000 on repairs and repainting the car. He sold the car to Anju at a gain of 15%. Anju sold it to Anthony at a loss of 5%. What did the car cost to Anthony?
Solution:

Question 14.
Gaurav sold an article at a profit of 12%. Had it been sold for ₹16 more, the profit would have been 20%. Find the C.P. of the article.
Solution:

Question 15.
A shopkeeper allows 8% discount on his goods and still earns a profit of 15%. If an article is sold for ₹460, find :
(i) the marked price
(ii) the cost price.
Solution:

Question 16.
Rajesh bought an A.C. for ₹38500 including 10% VAT. Find the price ofA.C. before VAT was added.
Solution:

Question 17.
A DVD player is marked for ₹3000. The shopkeeper offers 10% discount on it. If VAT is received 8%. Find the amount paid by the customer.
Solution:

ML Aggarwal Class 8 Solutions for ICSE Maths

ML Aggarwal Class 8 Solutions for ICSE Maths Chapter 7 Percentage Objective Type Questions

Mental Maths
Question 1.
Fill in the blanks:
(i) The percentage is the numerator of a fraction with denominator …………..
(ii) 15% of ………….. is 135.
(iii) \(\frac{3}{4}\) = ………..%
(iv) 50 paise = ………….. % of 8 rupees.
(v) A shopkeeper earns a profit if S.P. is ………….. than C.P.
(vi) Loss or profit % is always calculated on ………….. price.
(vii) The additional expenses on transportation, labour, repairing etc. are called …………..expenses.
(viii)Amount deducted from the marked price of an article is called ……..
(ix) Discount = Marked price – ………….. price.
(x) These days, sales tax is known as …………..
Solution:

Question 2.
State whether the following statements are true (T) or false (F):
(i) Discount is always calculated on the marked price.
(ii) Two successive discounts of 20% and 20% are equivalent to a single discount of 40%.
(iii) Overheads are always added to the original cost to get the total cost.
(iv) If S.P. is less than C.P. then shopkeeper suffers a loss.
(v) Sales tax is always calculated on the selling price.
Solution:

Multiple Choice Questions
Choose the correct answer from the given four options (3 to 18):
Question 3.
\(3 \frac{1}{8}\) % of 75 kg is equal to

Solution:

Question 4.
\(2 \frac{1}{12}\) is equivalent to

Solution:

Question 5.
\(1 \frac{11}{16}\) is equivalent to
(a) 168.75%
(b) 169.75%
(c) 170.75%
(d) 167.75%
Solution:

Question 6.
21 : 80 is equivalent to
(a) 26%
(b) 26.50%
(c) 26.75%
(d) 26.25%
Solution:

Question 7.
If 5% of a number is 42, then the number is
(a) 800
(b) 820
(c) 840
(d) 860
Solution:

Question 8.
What % of 150 is 30?
(a) 50%
(b) 10%
(c) 15%
(d) 20%
Solution:

Question 9.
A number increased by 25% gives 155. The number is
(a) 132
(b) 128
(c) 124
(d) 120
Solution:

Question 10.
Naman buys a game for ₹60 and sells it for ₹75, his profit % is
(a) 15%
(b) 20%
(c) 25%
(d) 30%
Solution:

Question 11.
Cost price of a watch is ₹680. If Rishabh sells it at a profit of 35%, then S.P. is
(a) ₹918
(b) ₹919
(c) ₹920
(d) ₹921
Solution:

Question 12.
On selling an article for ₹ 150, Renu gains ₹30. Her gain percentage is
(a) 15%
(b) 20%
(c) 25%
(d) 30%
Solution:

Question 13.
If the cost price of 5 articles is equal to the selling price of 6 articles, then there is
(a) gain
(b) loss
(c) no gain no loss
(d) none of these
Solution:

Question 14.
Marked price of an article is ₹675. If it is sold at a discount of 20%, then S.P. is
(a) ₹540
(b) ₹525
(c) ₹510
(d) ₹500
Solution:

Question 15.
A jacket is marked for ₹2590. If the S.P. of the jacket is ₹2331, then discount % is
(a) 5%
(b) 10%
(c) 15%
(d) 20%
Solution:

Question 16.
Marked price of a showpiece is ₹950. S.P. of showpiece after two successive discounts of 10% and 10% is
(a) ₹ 769.50
(b) ₹ 760
(c) ₹ 855
(d) None of these.
Solution:

Question 17.
S.P. of a video game is ₹749 including 7% VAT. The original price of a video game is
(a) ₹801.43
(b) ₹742
(c) ₹700
(d) None of these
Solution:

Question 18.
List price of an article is ₹1050. If 6% sales tax is charged, then bill amount is
(a) ₹1056
(b) ₹1113
(c) ₹1131
(d) ₹1311
Solution:

Value Based Questions
Question 1.
Out of 500 students in a school, 60% of students read Hindi Newspaper, 30% of students read English Newspaper and remaining students do not read any newspaper. Find
(i) What % of students do not read any newspaper?
(ii) Number of students who read Hindi newspaper.
(iii) Number of students who read English newspaper.
Is reading the newspaper a good habit? What are the advantages of the reading newspaper?
Solution:

Question 2.
In an exam at least 35% marks are required to pass the exam. Ramesh uses unfair means and tries to pass the exam but fails by 15 marks. If he scored 160 marks, find the maximum marks.
Is using unfair means in the exam is good? Why should we not use unfair means?
Solution:

Question 3.
A shopkeeper was involved in tax evasion. To save sales tax he never gives receipts to his customers. He sold an article for ₹550 including 10% VAT. Find the amount of VAT not paid by him to the Government. Is tax evasion correct? Why should we pay tax? What measures should we adopt to stop tax evasions?
Solution:

Higher Order Thinking Skills (Hots)
Question 1.
Marked price of an article is ₹2860 and rate of VAT is 8%. A shopkeeper allows a discount of 20% and still makes a profit of 10%. If he spent 4% as overheads, then find the original cost price of the article and final selling price including VAT.
Solution:

ML Aggarwal Class 8 Solutions for ICSE Maths

ML Aggarwal Class 8 Solutions for ICSE Maths Chapter 7 Percentage Ex 7.4

Question 1.
Find the buying price of each of the following when 5% S.T. is added on the purchase of
(i) a towel of ₹50
(ii) 5 kg of flour at ₹15 per kg.
Solution:

Question 2.
If 8% VAT is included in the prices, find the original price of
(i) a TV bought for ₹ 13500
(ii) a shampoo bottle bought for ₹ 180.
Solution:

Question 3.
Utkarsh bought an AC for ₹34992 including a VAT of 8%. Find the price of AC before VAT was added.
Solution:

Question 4.
Gaurav bought a shirt for ₹ 1296 including VAT. If the original price of the shirt is ₹ 1 200, find the rate of VAT.
Solution:

Question 5.
Anjana buys a purse for ₹523.80 including 8% VAT. Find the new selling price of the purse if VAT increases to 10%.
Solution:

Question 6.
A wall hanging is marked for ₹4800. The shopkeeper offers 10% discount on it. If VAT is received 8% from the customer, find the amount paid by the customer to purchase the wall hanging.
Solution:

Question 7.
Amit goes to a shop to buy a washing machine. The marked price of the washing machine is ₹ 10900 excluding9% VAT. Amit bargains with a shopkeeper and convinces him for ₹10900 including VAT as the final cost of the washing machine. Find the amount reduced by the shopkeeper.
Solution:

ML Aggarwal Class 8 Solutions for ICSE Maths