Chapter 8 Comparing Quantities Ex 8.2 Solutions
Question - 1 : - A man got a 10% increase in his salary. If his new salary is ₹ 1,54,000, find his original salary.
Answer - 1 : -
The increased salary = ₹ 1,54,000
Increase in salary = 10%
Increase salary = Original salary × (1 + Increase/100)
Hence, the original salary = ₹ 1,40,000
Question - 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?
Answer - 2 : -
Number of people visiting the Zoo on Sunday = 845
Number of people visiting the Zoo on Monday = 169
Decrease in number of people visiting the Zoo = 845 – 169 = 676
Decrease per cent
Hence, the decrease per cent = 80%
Question - 3 : - A shopkeeper buys 80 articles for ₹ 2,400 and sells them for a profit of 16%. Find the selling price of one article.
Answer - 3 : -
Cost price of 80 articles = ₹ 2,400
Cost of 1 article = ₹ 2400/80 = ₹ 30
Profit = 16%
Hence, the selling price of one article = ₹ 34.80
Question - 4 : - The cost of an article was ₹ 15,500. ₹ 450 were spent on its repairs. If it is sold for a profit of 15%, find the selling price of the article.
Answer - 4 : -
CP of the article = ₹ 15,500
Money spent on repairs = ₹ 450
Net CP = ₹ 15,500 + ₹ 450 = ₹ 15,950
Profit = 15%
Hence, the selling price of article = ₹ 18342.50
Question - 5 : - A VCR and TV were bought for ₹ 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 per cent on the whole transaction.
Answer - 5 : -
Cost price of a VCR = ₹ 8,000
Loss = 4%
Hence, the shopkeeper gained 2% profit on the whole transaction.
Question - 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 ₹ 1450 and two shirts marked at ₹ 850 each?
Answer - 6 : -
Marked Price (MP) of Jeans = ₹ 1,450
MP of two shirts = ₹ 850 × 2 = ₹ 1,700
Total MP = ₹ 1,450 + ₹ 1,700 = ₹ 3,150
Discount = 10%
Thus, the customer will have to pay ₹ 2,835.
Question - 7 : - A milkman sold two of his buffaloes for ₹ 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]
Answer - 7 : -
SP of a buffalo = ₹ 20,000
Gain = 5%
Question - 8 : - The price of a TV is ₹ 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.
Answer - 8 : -
Marked price of the TV = ₹ 13,000
ST = 12%
The required amount that Vinod has to pay = ₹ 14,560
Question - 9 : - Arun bought a pair of skates at a sale where the discount is given was 20%. If the amount he pays is ₹ 1,600, find the marked price.
Answer - 9 : -
Let the MP of the skates be ₹ 100
Discount = ₹ 20% of 100 = ₹ 20
Sale price = ₹ 100 – ₹ 20 = ₹ 80
If SP is ₹ 80 then MP = ₹ 100
If SP is ₹ 1 then MP = ₹ 100/80
If SP is ₹ 1,600 then MP = ₹ 100/80 × 1600 = ₹ 2,000
Thus the MP = ₹ 2000.
Question - 10 : - I purchased a hair-dryer for ₹ 5,400 including 8% VAT. Find the price before VAT was added.
Answer - 10 : -
Let the original price be ₹ 100
VAT = 8% of 100 = ₹ 8
Sale price = ₹ 100 + ₹ 8 = ₹ 108
If SP is ₹ 108 then original price = ₹ 100
If SP is ₹ 1 then the original price = ₹ 100/108
If SP is ₹ 5,400 then the original price = ₹ 100/108 × 5,400 = ₹ 5,000
Thus, the price of hair-dryer before the addition of VAT = ₹ 5000.