
What is 15 % of 10 % of 20 % of 1000?
(a). 1.50
(b). 67
(c). 150
(d). 3
Answer
535.8k+ views
Hint: Recall the formula for percentage, that is, Percentage = . Then, calculate step by step, starting from 20 % of 1000, then 10 % of the result, then 15 % of this result to obtain the answer.
Complete step-by-step answer:
The percentage of a quantity means a fraction of the quantity expressed by taking a hundred as a whole. 100 % means the entire quantity or the whole. The word percent comes from the Latin word “Per Cent” where Centum means a hundred.
The percentage is just a convenient way to express a fraction with the hundred as a whole.
A percentage is a number expressed as a fraction of 100. It is calculated by multiplying the numerical value of the ratio by 100.
To calculate the value of the percentage of some number, we need to multiply that number with the required percentage and divide by 100.
We need to calculate 15 % of 10 % of 20 % of 1000. First, we calculate 20 % of 1000, which is 20 multiplied with 1000 divided by 100.
20% of 1000 =
20% of 1000 = 200........(1)
Next, we need to calculate 10 % of 20 % of 1000, which from equation (1) is 10 % of 200. 10 % of 200 is calculated by multiplying 10 with 200 and dividing by 100.
10% of 200 =
10% of 200 = 20...........(2)
Next, we need to calculate 15 % of 10 % of 20 % of 1000, which from equation (2) is 15 % of 20. 15 % of 20 is calculated by multiplying 15 with 20 and dividing by 100.
15% of 20 =
15% of 20 = 3
Hence, 15 % of 10 % of 20 % of 1000 is 3.
Hence, option (d) is the correct answer.
Note: Note that 15 % of 10 % of 20 % of 1000 is the same as 10 % of 15 % of 20 % of 1000, the order in which you take the percentage does not matter as long as you are concerned only with the final answer.
Complete step-by-step answer:
The percentage of a quantity means a fraction of the quantity expressed by taking a hundred as a whole. 100 % means the entire quantity or the whole. The word percent comes from the Latin word “Per Cent” where Centum means a hundred.
The percentage is just a convenient way to express a fraction with the hundred as a whole.
A percentage is a number expressed as a fraction of 100. It is calculated by multiplying the numerical value of the ratio by 100.
To calculate the value of the percentage of some number, we need to multiply that number with the required percentage and divide by 100.
We need to calculate 15 % of 10 % of 20 % of 1000. First, we calculate 20 % of 1000, which is 20 multiplied with 1000 divided by 100.
20% of 1000 =
20% of 1000 = 200........(1)
Next, we need to calculate 10 % of 20 % of 1000, which from equation (1) is 10 % of 200. 10 % of 200 is calculated by multiplying 10 with 200 and dividing by 100.
10% of 200 =
10% of 200 = 20...........(2)
Next, we need to calculate 15 % of 10 % of 20 % of 1000, which from equation (2) is 15 % of 20. 15 % of 20 is calculated by multiplying 15 with 20 and dividing by 100.
15% of 20 =
15% of 20 = 3
Hence, 15 % of 10 % of 20 % of 1000 is 3.
Hence, option (d) is the correct answer.
Note: Note that 15 % of 10 % of 20 % of 1000 is the same as 10 % of 15 % of 20 % of 1000, the order in which you take the percentage does not matter as long as you are concerned only with the final answer.
Latest Vedantu courses for you
Grade 10 | MAHARASHTRABOARD | SCHOOL | English
Vedantu 10 Maharashtra Pro Lite (2025-26)
School Full course for MAHARASHTRABOARD students
₹33,300 per year
Recently Updated Pages
Master Class 8 English: Engaging Questions & Answers for Success

Master Class 8 Social Science: Engaging Questions & Answers for Success

Master Class 8 Maths: Engaging Questions & Answers for Success

Class 8 Question and Answer - Your Ultimate Solutions Guide

Master Class 8 Science: Engaging Questions & Answers for Success

How do you simplify dfrac19+left dfrac56 right class 7 maths CBSE

Trending doubts
How many ounces are in 500 mL class 8 maths CBSE

Name the states through which the Tropic of Cancer class 8 social science CBSE

List some examples of Rabi and Kharif crops class 8 biology CBSE

In Indian rupees 1 trillion is equal to how many c class 8 maths CBSE

How many ten lakhs are in one crore-class-8-maths-CBSE

Explain land use pattern in India and why has the land class 8 social science CBSE
