- Quick Revision of previous class Maths concepts
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- Finding Discounts
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- Profit and Loss
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- Sales Tax and VAT
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- Simple Interest and Compound Interest

In this page we have *NCERT book Solutions for Class 8th Maths:comparing quantities Chapter 8 * for
EXERCISE 1 . Hope you like them and do not forget to like , social share
and comment at the end of the page.

A man got a 10% increase in his salary. If his new salary is Rs 1,54,000, find his original salary.

In these questions, there are two parts, First is the original quantity and second part is the % increase in the quantity. The final quantity will be the sum of original quantity and % increase quantity

Let us assume the original salary is y, then

y + 10% of y = New salary= 154000

y+ 10y/100=154000

11y/10=154000

y=1540000/11= Rs 140000

On Sunday 845 people went to the Zoo. On Monday only 169 people went. What is the per cent decrease in the people visiting the Zoo on Monday?

= 845-169=676

So % decrease

=(676/845)×100=80%

A shopkeeper buys 80 articles for Rs 2,400 and sells them for a profit of 16%. Find the selling price of one article.

Cost price of one article= 2400/80=30

Now we know that Profit = CP x % profit

= 30 × (16/100) = 4.80

Now Selling price = Cost Price + Profit

=30 + 4.8 = 34.8

The cost of an article was Rs 15,500. Rs 450 were spent on its repairs. If it is sold for a profit of 15%, find the selling price of the article.

Final cost price of the article after the repairs will be

CP = Cost + Overheads

= 15500 + 450 = 15950

Profit = CP x % profit

= 15950 × (15/100)= 2392.50

Now Selling price = Cost Price + Profit

= 15950 + 2392.50 = 18342.50

A VCR and TV were bought for Rs 8,000 each. The shopkeeper made a loss of 4% on the VCR and a profit of 8% on the TV. Find the gain or loss percent on the whole transaction.

Cost price of each article=8000

Now Profile on TV = Cost price × profit %

=8000 ×(8/100)= 640

Now loss on VCR = Cost price × Loss %

=8000 ×(4/100)= 320

Since profile is more than loss, it gains net profile

Net Profit= 640 -320= 320

Now

Total cost Price of product=16000

So Profit %= (320/16000) ×100

=2%

During a sale, a shop offered a discount of 10% on the marked prices of all the items. What would a customer have to pay for a pair of jeans marked at Rs 1450 and two shirts marked at Rs 850 each?

Total Price of a pair of jeans and two shirts

= 1450 + 2 x 850 = 3150

Discount = Marked Price x % Discount

=3150 × (10/100)=315

Effective Price After Discount = 3150 - 315 = 2835

A milkman sold two of his buffaloes for Rs 20,000 each. On one he made a gain of 5% and on the other a loss of 10%. Find his overall gain or loss.

After 5% profit, SP = a+ 5a/100 =105a/100

After 10% loss SP = b- 10b/100 =90b/100

Now

105a/100= 20,000

a=20,000×(100/105)

Profit on One buffalo= SP - CP =20,000 -20,000×(100/105)

=20000/21=952.385

Now

90b/100= 20,000

b=20,000×(100/90)

Loss on another buffalo= CP-SP =20,000×(100/90 )- 20,000 =20000/9=2222.222

As Loss is greater than profit, he get net loss

Net loss = 1269.84

The price of a TV is Rs 13,000. The sales tax charged on it is at the rate of 12%. Find the amount that Vinod will have to pay if he buys it.

=13000 × (12/100)=1560

Final Price = 13000 + 1560 = 14560

Arun bought a pair of skates at a sale where the discount given was 20%. If the amount he pays is Rs 1,600, find the marked price.

Let the marked price be a

So final selling price after discount

=a - a×(20/100)

=.8a

Now .8a =1600

a=2000

I purchased a hair-dryer for Rs 5,400 including 8% VAT. Find the price before VAT was added.

Let a be the price before VAT

So selling price = a + a×(8/100)

=1.08a

Now 1.08a=5400

a=5000

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