Percentage Increase or Decrease Using Multiplier
Percentage Increase or Decrease Using Multiplier
To calculate percentage increases and decreases, we use Percentage multipliers. Percentage multipliers allow us to calculate percentage increases and percentage decreases very quickly with one single multiplication.
To increase an amount by 15% we start with 100% of the amount, then add 15% of the amount to it. We now have 100% + 15% = 115% of the amount.
So, to increase an amount by 15% in one step. we multiply the amount by 115% or 1.15. The value 1.15 is called the multiplier.
To decrease an amount by 15%, we start with 100 of the amount, then subtract 15% of the amount from it. We now have 100% - 15% = 85% of the amount.
So, to decrease an amount by 15% in one step. we multiply the amount by 85% or 0.85. The value 0.85 is called the multiplier.
Illustration 1: Evaluate the following:
(a) Increase 312 kg by 22%, giving your answer to 3 significant figures.
(b) Decrease Rs183 by 7%.
Solution :
(a) To increase by 22%, we multiply by 100% + 22% = 122%, which is 1.22. Hence, 1.22 is the multiplier.
the new amount = 1.22
312 kg = 380.64 kg
381 kg
(b) To decrease by 7%, we multiply by 100% - 7% = 93%, which is 0.93.
the new amount = 0.93
Rs 183 = Rs 170.19 = Rs 170
Illustration 2: Find the multiplier corresponding to an increase of 25%?
Solution: To increase an amount by 25% we start with 100% of the amount, then add 25% of the amount to it. We now have 100% + 25% = 125% of the amount.
So, to increase an amount by 25% in one step. we multiply the amount by 125% or 1.25. The value 1.25 is called the multiplier.
Illustration 3: The school fee of Jack increased by 30%. His last year school fee was Rs 2500 per month. Find the amount which Jack has to pay this year every month?
Solution: Original school fee of Jack = Rs 2500
Increase in fee this year = 30 %
So, now he has to pay = 2500 X multiplier
To increase an amount by 30% we start with 100% of the amount, then add 30% of the amount to it. We now have 100% + 30% = 130% of the amount.
So, to increase an amount by 30% in one step. we multiply the amount by 130% or 1.30. The value 1.30 is called the multiplier.
the new amount = 1.30 X Rs 2500 = Rs. 3250
So, Jack has to pay Rs 3250 this year every month.
Find the multiplier corresponding to an increase of 150% | |||
| Right Option : D | |||
| View Explanation | |||
Find the multiplier corresponding to a decrease of 19% | |||
| Right Option : A | |||
| View Explanation | |||
Find the multiplier correspond to an increase of 25% | |||
| Right Option : A | |||
| View Explanation | |||
Students / Parents Reviews [20]
We started with lot of hope that Abhyas will help in better understnding of complex topics of highers classes. we are not disappointed with the progress our child has made after attending Abhyas. Though need to mention that we expected a lot more. On a scale of 1-10, we would give may be 7.
Manya
8thBeing a parent, I saw my daughter improvement in her studies by seeing a good result in all day to day compititive exam TMO, NSO, IEO etc and as well as studies. I have got a fruitful result from my daughter.
Prisha Gupta
8thIt has a great methodology. Students here can get analysis to their test quickly.We can learn easily through PPTs and the testing methods are good. We know that where we have to practice
Barkha Arora
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Om Umang
10thA marvelous experience with Abhyas. I am glad to share that my ward has achieved more than enough at the Ambala ABHYAS centre. Years have passed on and more and more he has gained. May the centre flourish and develop day by day by the grace of God.
Archit Segal
7thAbout Abhyas metholodology the teachers are very nice and hardworking toward students.The Centre Head Mrs Anu Sethi is also a brilliant teacher.Abhyas has taught me how to overcome problems and has always taken my doubts and suppoeted me.
Shreya Shrivastava
8thAbhyas institute is one of the best coaching institute in the vicinity of Ambala Cantt area. The teachers of the institute are well experienced and very helpful in solving the problems of the students.The good thing of the institute is that it is providing extra classes for the students who are w...
Aman Kumar Shrivastava
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Yatharthi Sharma
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Shivam Rana
7thAbhyas institute is one of the best coaching institute in the vicinity of Ambala cantt.The institute provides good and quality education to the students.The teachers are well experienced and are very helpful in solving the problems. The major advantages of the institute is extra classes for weak...
Shreya Shrivastava
8thMy experience with Abhyas Academy has been very good. When I was not in Abhyas whenever teacher ask questions I could not speak it confidently but when I came in Abhyas, my speaking skills developed and now I am the first one to give the answer of teachers question.
Upmanyu Sharma
7thThe experience was nice. I studied here for three years and saw a tremendous change in myself. I started liking subjects like English and SST which earlier I ran from. Extra knowledge gave me confidence to overcome competitive exams. One of the best institutes for secondary education.
Aman Kumar Shrivastava
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Cheshta
10thUsually we see institutes offering objective based learning which usually causes a lag behind in subjective examinations which is the pattern followed by schools. I think it is really a work of planning to make us students grab the advantages of modes of examination, Objective Subjective and Onli...
Anika Saxena
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Hiya Gupta
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Yogansh Nyasi
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Barkha Arora
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Manish Kumar
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Hridey Preet
9thIt was good as the experience because as we had come here we had been improved in a such envirnment created here.Extra is taught which is beneficial for future.
