Introduction for arithmetic reasoning:
Arithmetic reasoning is a branch of mathematics that deals with the study of number especially with regard to basic operations such as addition, subtraction, multiplication and division etc and applications to solution of problems. Generally, we use arithmetic in our day-to-day life. The literacy rate is calculated by the 3 R’s namely ‘Read’, ‘wRite’ and ‘aRithmetic’. so arithmetic is an important role in our daily life. Arithmetic reasoning example and practice problems are given below.
Arithmetic reasoning example problems:
1. A Washing machine costs Rs.5, 00,000/–. If the value depreciates 15% the first year, 13½% the next year 12% the third year and so on. What will be its value at the end of 10 years, the entire percentages applying to the original cost?
Sol: The percentage of depreciation in value in consecutive years form an A.P.
Total depreciation (in %) = 15 + 13½ + 12 + … to 10 terms, Here a = 15, d = – 1.5
Sn = n/2 [ 2a + (n-1)d]
Sn = 10/2 [ 30 - 13.5 ] in % = 82.5%
Value of the machine after 10 years = 100 – 82.5 = 17.5%
Original cost of the machine = Rs.5,00,000
Value of the machine after 10 years = Rs.5,00,000 ×17.5/100 = Rs.87,500
2. Convert the following into percentages
(a) 2/5 (b) 3/4
Sol:
(a) 2/5 =2/5 ×100/100 =40/100 = 40%
(b) 3/4 =3/4 ×100/100 =75/100 = 75%
3. The monthly salary of Rani is Rs. 4000. She spends 80% of her salary every month. How much does she save every month?
Sol:
Rani's monthly salary = Rs. 4000
Expenditure = 80% of 4000
= 80/100 × (4000) = Rs. 3200
Savings = 4000 – 3200 = Rs. 800
Having problem with Property of Multiplication keep reading my upcoming posts, i will try to help you.
Arithmetic reasoning problems to practice:
1. Gilly deposits Rs. 2000 in a bank. The bank pays interest at the rate of 4% per year. Find the interest received by him at the end of 3 years. Also, find the amount to be paid at the end of 3 years.
Ans: Rs. 2240.
2. In a room there are 25 boys and 15 girls. What is the ratio between boys and girls?
Ans: 5: 3
Arithmetic reasoning is a branch of mathematics that deals with the study of number especially with regard to basic operations such as addition, subtraction, multiplication and division etc and applications to solution of problems. Generally, we use arithmetic in our day-to-day life. The literacy rate is calculated by the 3 R’s namely ‘Read’, ‘wRite’ and ‘aRithmetic’. so arithmetic is an important role in our daily life. Arithmetic reasoning example and practice problems are given below.
Arithmetic reasoning example problems:
1. A Washing machine costs Rs.5, 00,000/–. If the value depreciates 15% the first year, 13½% the next year 12% the third year and so on. What will be its value at the end of 10 years, the entire percentages applying to the original cost?
Sol: The percentage of depreciation in value in consecutive years form an A.P.
Total depreciation (in %) = 15 + 13½ + 12 + … to 10 terms, Here a = 15, d = – 1.5
Sn = n/2 [ 2a + (n-1)d]
Sn = 10/2 [ 30 - 13.5 ] in % = 82.5%
Value of the machine after 10 years = 100 – 82.5 = 17.5%
Original cost of the machine = Rs.5,00,000
Value of the machine after 10 years = Rs.5,00,000 ×17.5/100 = Rs.87,500
2. Convert the following into percentages
(a) 2/5 (b) 3/4
Sol:
(a) 2/5 =2/5 ×100/100 =40/100 = 40%
(b) 3/4 =3/4 ×100/100 =75/100 = 75%
3. The monthly salary of Rani is Rs. 4000. She spends 80% of her salary every month. How much does she save every month?
Sol:
Rani's monthly salary = Rs. 4000
Expenditure = 80% of 4000
= 80/100 × (4000) = Rs. 3200
Savings = 4000 – 3200 = Rs. 800
Having problem with Property of Multiplication keep reading my upcoming posts, i will try to help you.
Arithmetic reasoning problems to practice:
1. Gilly deposits Rs. 2000 in a bank. The bank pays interest at the rate of 4% per year. Find the interest received by him at the end of 3 years. Also, find the amount to be paid at the end of 3 years.
Ans: Rs. 2240.
2. In a room there are 25 boys and 15 girls. What is the ratio between boys and girls?
Ans: 5: 3
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