# Comparing Quantities : Exercise 8.2 (Mathematics NCERT Class 8th)

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

**Let the original salary be**

*Sol.**x*.

Given, the new salary is Rs 1,54,000 and increment is 10% of the original salary.

Therefore, Original Salary + Increment = New Salary

Hence, the original salary was Rs 1,40,000.

**Q.2 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?
**

**Given, 845 people went to the zoo on Sunday and 169 people went on Monday.**

*Sol.*Therefore, decrease in the number of people = 845 â€“ 169 = 676

Percentage decrease = = 80%

Hence, there is decrease of 80% in the people visiting Zoo on Monday.

**Q.3 A shopkeeper buys 80 articles for Rs 2,400 and sells them for a profit of 16%. Find the selling price of one article.
**

**Given, shopkeeper buys 80 articles for Rs 2,400.**

*Sol.*Therefore, cost of one article = Rs= Rs 30

Also, given profit percent = 16.

Therefore, Profit percent = (Profit/C. P.) x 100

16 =

Profit = Rs = Rs 4.80

Hence, selling price of one article = C.P. + Profit = Rs (30 + 4.80) = Rs 34.80

**Q.4 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.
**

**We know that, total cost of an article = cost + other expenses**

*Sol.*= Rs 15500 + Rs 450

= Rs 15950

Therefore, Profit % =

15 =

Profit = Rs= Rs 2392.50

Thus, selling price of the article = C.P. + Profit = Rs 15950 + Rs 2392.50 = Rs 18342.50

**Q.5 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.
**

**Given, C.P. of VCR = Rs 8000 and shopkeeper made a loss of 4% on it.**

*Sol.*Hence, it means that if C.P. is Rs 100, then S.P. is Rs 96

For C.P. of Rs 8000, S.P. = Rs = Rs 7680

Given, C.P. of TV = Rs 8000 and shopkeeper made a profit of 8% on it.

Hence, it means that if C.P. is Rs 100, then S.P. is Rs 108

For C.P. of Rs 8000, S.P. = Rs = Rs 8640

Now, total S.P. of VCR and TV = Rs 7680 + Rs 8640 = Rs 16320

And total C.P. of VCR and TV = Rs 8000 + Rs 8000 = Rs 16000

Here, total S.P. is greater than total C.P., which means there is profit made.

Therefore, Profit = Rs 16320 â€“ Rs 16000 = Rs 320

Profit % =

=

= 2 %

Hence, the shopkeeper had a 2% gain on the whole transaction.

**Q.6 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?**** Sol.** Given, price of jeans = Rs 1450

Price of two shirts = 2 x Rs 850 = Rs 1400

Therefore, total marked price = Rs 1450 + Rs 1400 = Rs 3150

Given, discount offered is 10%.

Discount = Rs = Rs 315

Now, Discount = Marked price â€“ Sale price

Rs 315 = Rs 3150 â€“ Sale Price

Therefore, Rs (3150 â€“ 315) = Rs 2835

Hence, customer would have to pay Rs 2835.

**Q.7 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. (Hint: Find CP of each)
**

**Given, S.P. of first buffalo = Rs 20000 and profit made was 5%.**

*Sol.*Hence, it means that if C.P. is Rs 100, then S.P. is Rs 105

Therefore, C.P. of first buffalo = = Rs 19,047.62

Given, S.P. of second buffalo = Rs 20000 and loss made was 10%.

Hence, it means that if C.P. is Rs 100, then S.P. is Rs 90

Therefore, C.P. of second buffalo = = Rs 22,222.22

Now, total C.P. of both buffaloes = Rs 19047.62 + Rs 22222.22 = Rs 41,269.84

And total S.P. of both buffaloes = Rs 20000 + Rs 20000 = Rs 40000

Here, total C.P. is greater than total S.P., which means there is loss made.

Therefore, Loss = Rs 41269.84 â€“ Rs 40000 = Rs 1269.84

Hence, overall loss of milkman is Rs 1,269.84

**Q.8 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.
**

**Given, sales tax charged on TV is at the rate of 12%. It means that, on Rs 100 the tax to be paid will be Rs 12.**

*Sol.*Therefore, tax to be paid on TV = Rs = Rs 1,560

Required amount = C.P. + Tax = Rs 13000 + Rs 1560 = Rs 14,560

Hence, Vinod will have to pay Rs 14,560 for the TV.

**Q.9 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**

*Sol.**x*.

Discount = =

We know that, Discount = Marked Price â€“ Sale Price

= Rs 2000

Hence, the marked price was Rs 2000.

**Q.10 I purchased a hair-dryer for Rs 5,400 including 8% VAT. Find the price before VAT was added**.

** Sol.** Given, the price of Rs 5400 includes 8% VAT.

Thus, it means that if the price without VAT is Rs 100, then price including VAT will be Rs 108.

Therefore, for price Rs 5400 including VAT, original price = = Rs 5000

Hence, the price before VAT was added is Rs 5,000.