All questions on Maths

find the mutual funds percentage.

an investor invested a total of $\text{[math]}$ 72, how much was invested in each mutual fund?

Emma

Answers

In general when solving percentage problems, always convert percentages into fractions or decimals. That way they become easier to handle, at least when dealing with other numbers. So for this problem, we have two mutual funds that we'll call M and F. Then we know the following facts: 1 - Total amount invested in M, plus total amount invested in F = 1900. Or just M + F = 1900. 2 - After the profits, new total funds = 1900 + 72 = 1972. Suppose M made 8% profit and F 3%. Then 8% profit means that the amount of funds on M has gone up by 8% of what there was to start with, or (8/100)*M, so that we end up with 1.08M. Similarly for F. So the second thing we know is that 1.08M + 1.03F = 1972 So the problem can be expressed by the two equations below. M + F = 1900 1.08M + 1.03F = 1972 These are two linear simultaneous equations in two unknowns, so you can solve these using whatever method you choose.

jim360

19 August 2012

Add an answer

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How to Find 1 Percent of a Number

Introduction

Have you ever seen a 5% discount in a shop or needed to calculate a 15% tip? All percentage calculations, no matter how complex, are built on one simple, core skill: finding 1 percent.

The word "percent" literally means "per hundred." So, 1% is simply one part out of one hundred.

Once you know how to find 1% of a number, you can easily find any other percentage.

To find 5%, you just find 1% and multiply it by 5.
To find 20%, you find 1% and multiply it by 20.
To find 72%, you find 1% and multiply it by 72.

This guide will show you the one simple trick to find 1% of any number instantly.

The Key Method: Finding 1%

Because 1% means "one out of one hundred" (£1/100£), finding 1% of a number is the same as dividing that number by 100.

The fastest way to divide any number by 100 is to move the decimal point two places to the left.

That's the entire trick.

Worked Example 1: A simple number

Find 1% of 300.

The number is 300. The decimal point is at the end: 300.
Move the decimal two places to the left: 3.00
Answer: 1% of 300 is 3.

Worked Example 2: A number with no zeros

Find 1% of 189.

The number is 189. The decimal point is at the end: 189.
Move the decimal two places to the left: 1.89
Answer: 1% of 189 is 1.89.

Worked Example 3: A number that already has a decimal

Find 1% of 84.5.

The number is 84.5.
Move the decimal two places to the left: 0.845
Answer: 1% of 84.5 is 0.845.

Worked Example 4: A very small decimal number

Find 1% of 0.7.

The number is 0.7.
Move the decimal two places to the left. We need to add zeros for the empty spaces: 0.007
Answer: 1% of 0.7 is 0.007.

Practice Questions & Solutions

Score:

Find 1% of 500.

Solution

To find 1% of 500, we move the decimal point two places to the left.

500. becomes 5.00

Answer: 5

Find 1% of 900.

Solution

To find 1% of 900, we move the decimal point two places to the left.

900. becomes 9.00

Answer: 9

Find 1% of 250.

Solution

o find 1% of 250, we move the decimal point two places to the left.

250. becomes 2.50

Answer: 2.5

Find 1% of 476.

Solution

To find 1% of 476, we move the decimal point two places to the left.

476. becomes 4.76

Answer: 4.76

Find 1% of 81.

Solution

To find 1% of 81, we move the decimal point two places to the left.

81. becomes 0.81

Answer: 0.81

A t-shirt costs £40. How much is 1% of its price?

Solution

To find 1% of £40, we move the decimal point two places to the left.

40. becomes 0.40

Answer: £0.40 (or 40p)

Find 1% of 15,200.

Solution

To find 1% of 15,200, we move the decimal point two places to the left.

15200. becomes 152.00

Answer: 152

Find 1% of 70.5.

Solution

To find 1% of 70.5, we move the decimal point two places to the left.

70.5 becomes 0.705

Answer: 0.705

Find 1% of 1.25.

Solution

To find 1% of 1.25, we move the decimal point two places to the left.

1.25 becomes 0.0125

Answer: 0.0125

A bank offers a 1% annual interest rate. If you deposit £5.50, how much interest would you earn in a year?

Solution

We need to find 1% of 5.50. We move the decimal point two places to the left.

5.50 becomes 0.0550

Answer: £0.055

Gianpiero Placidi