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Post a LessonAnswered on 02/02/2024 Learn CBSE/Class 8/Maths/Comparing quantities
Pooja R. Jain
Let's calculate the cost price (CP) and selling price (SP) to determine the gain or loss and the percentage.
Cost Price (CP): The shopkeeper purchased 200 bulbs for Rs. 10 each. CP=Number of bulbs×Cost per bulbCP=Number of bulbs×Cost per bulb CP=200×10CP=200×10 CP=Rs.2000CP=Rs.2000
Selling Price (SP): 5 bulbs were fused and thrown away. So, the shopkeeper sold 200−5=195200−5=195 bulbs at Rs. 12 each. SP=Number of bulbs sold×Selling price per bulbSP=Number of bulbs sold×Selling price per bulb SP=195×12SP=195×12 SP=Rs.2340SP=Rs.2340
Gain or Loss: Gain or Loss=SP−CPGain or Loss=SP−CP Gain or Loss=2340−2000Gain or Loss=2340−2000 Gain=Rs.340Gain=Rs.340
Gain Percentage: Gain Percentage=(GainCP)×100Gain Percentage=(CPGain)×100 Gain Percentage=()×100Gain Percentage=()×100 Gain Percentage=17%Gain Percentage=17%
Therefore, the shopkeeper gained 17% by selling the bulbs.
Answered on 02/02/2024 Learn CBSE/Class 8/Maths/Comparing quantities
Pooja R. Jain
To find the profit or loss percentage, follow these steps:
Cost Price (CP): The cost price is the sum of the purchase cost and the repair cost. CP=Purchase cost+Repair costCP=Purchase cost+Repair cost CP=Rs.2500+Rs.500CP=Rs.2500+Rs.500 CP=Rs.3000CP=Rs.3000
Selling Price (SP): The TV was sold for Rs. 3300. SP=Rs.3300SP=Rs.3300
Profit or Loss: Profit or Loss=SP−CPProfit or Loss=SP−CP Profit or Loss=3300−3000Profit or Loss=3300−3000 Profit=Rs.300Profit=Rs.300
Profit Percentage: Profit Percentage=(ProfitCP)×100Profit Percentage=(CPProfit)×100 Profit Percentage=()×100Profit Percentage=()×100 Profit Percentage=10%Profit Percentage=10%
Therefore, the profit percentage is 10%.
Answered on 02/02/2024 Learn CBSE/Class 8/Maths/Comparing quantities
Pooja R. Jain
To calculate the amount to be paid on a loan compounded half-yearly, you can use the compound interest formula:
A=P(1+rn)ntA=P(1+nr)nt
where:
In this case:
Plug these values into the formula:
A=12000(1+0.102)2×1.5A=12000(1+20.10)2×1.5
A=12000(1+0.05)3A=12000(1+0.05)3
Now, calculate the values:
A=12000×(1.05)3A=12000×(1.05)3
A≈12000×1.157625A≈12000×1.157625
A≈13951.50A≈13951.50
Therefore, the amount to be paid on the loan after 1½ years at 10% per annum compounded half-yearly is approximately Rs. 13,951.50.
Answered on 02/02/2024 Learn CBSE/Class 8/Maths/Comparing quantities
Pooja R. Jain
It seems there might be a confusion in the given information. The population of a city is usually measured in terms of the number of people, not in rupees. If you meant to say the population of a city was 20,000 in 1997, and it increased at the rate of 5% per annum, then we can calculate the population at the end of the year 2000.
Let PP be the population in 1997.
Given that the population increases at a rate of 5% per annum, the growth factor is 1+5100=1.051+1005=1.05.
The population at the end of the year 2000 (t=2000−1997=3t=2000−1997=3 years) can be calculated using the formula for compound interest:
Population at the end of 2000=P×(1.05)3Population at the end of 2000=P×(1.05)3
Population at the end of 2000=20000×(1.05)3Population at the end of 2000=20000×(1.05)3
Now, calculate the value:
Population at the end of 2000≈20000×1.157625Population at the end of 2000≈20000×1.157625
Population at the end of 2000≈23152.50Population at the end of 2000≈23152.50
Therefore, the population of the city at the end of the year 2000 is approximately 23,152.50.
Answered on 02/02/2024 Learn CBSE/Class 8/Maths/Comparing quantities
Pooja R. Jain
To find the discount and discount percentage, you can use the following formulas:
Discount (DD): D=Marked Price−Selling PriceD=Marked Price−Selling Price
Discount Percentage ((D%)): D%=(DiscountMarked Price)×100D%=(Marked PriceDiscount)×100
Given:
Discount (DD): D=15600−12480D=15600−12480 D=Rs.3120D=Rs.3120
Discount Percentage ((D%)): D%=()×100D%=)×100 D%=20%D%=20%
Therefore, the discount given is Rs. 3120, and the discount percentage is 20%.
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