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Q.6.    Convert given per cent to decimal fraction and also to fraction in simplest forms:

(a) 25%
(b) 150%
(c) 20%
(d) 5%

(a) 25 % (b) 150% (c) 20% (d) 5%

Q.5.    Find the whole quantity if

(a) 5% of it is 600.
(b) 12% of it is Rs 1080.
(c) 40% of it is 500 km.
(d) 70% of it is 14 minutes.
(e) 8% of it is 40 litres.

(a) Let the whole quantity be X Therefore, 5 % of X = 600 Thus the required whole quantity is 12000 (b) 12 % of X = Rs 1080 (c) 40 % of X = 500 km (d) 70% of X = 14 minutes (e) 8 % of X = 40 litre

Q: 4
Find: (a) 15\% of 250
         (b) 1\% of 1 hour
         (c) 20\%  of Rs 2500
         (d) 75\% of 1 kg

Here per cent implies for () Therefore,  (a) 15% of 250 = 37.5 (b) 1 of 1 hour  = 1  of 60 minutes    (c) 20  of Rs 2500   (d) 75 of 1 kg We know that 1kg = 1000 gm, therefore,  =0.75 kg  

Q.11.    If Meena gives an interest of Rs 45 for one year at 9% rate p.a. What is the sum she has borrowed?
 

Given that, Principal =? Interest = Rs 45 Time = 1 year Rate= 9% p.a Therefore,                          Hence she borrowed total Rs 500

Q.10.    What rate gives Rs 280 as interest on a sum of Rs 56,000 in 2 years?

Given that, Principal = Rs 56,000 Interest = Rs 280 Time = 2 year Rate= ? Therefore,               

Q.9.    Find the amount to be paid at the end of 3 years in this case:

          (b) Principal = Rs 7,500 at 5% p.a.

  Given that, Principal (PA)= Rs 7,500 at 5% p.a. (Rate of interest) and T = 3 year We know that, Now, putting the values in the above equation, we get   So, Amount = PA + PI = 7,500 + 1125 = Rs 8625

Q.9.    Find the amount to be paid at the end of 3 years in this case:

           (a) Principal = Rs 1,200 at 12% p.a.

Given that, Principal (PA)= Rs 1,200 at 12% p.a. (Rate of interest) and T = 3 year We know that, Now, putting the values in the above equation, we get   So, Amount = PA + PI = 1200 + 432 = Rs 1632

Q.8.    Amina buys a book for Rs 275 and sells it at a loss of 15%. How much does she sell it for?
 

Here we have, CP of the book = Rs 275 Loss = 15% We know that,                                                                                                      Hence the required selling price is Rs 233.75 

Q.7.(ii)    If in a stick of chalk, carbon is 3g, what is the weight of the chalk stick?

We have the weight of the carbon = 3g Therefore, the weight of the chalk  Hence the weight of the chalk is 25g

Q.7.(i)     Chalk contains calcium, carbon and oxygen in the ratio 10:3:12. Find the percentage of carbon in chalk.
 

We have, The ratio of calcium, carbon and oxygen in the chalk = 10 : 3: 12 Now, Sum of the ratio = 10 + 3 + 12 = 25 Therefore, the percentage of carbon in the chalk

Q.6.    Juhi sells a washing machine for Rs 13,500. She loses 20% in the bargain. What was the price at which she bought it?
 

We have, Sp of the washing m/c = Rs 13,500 Loss(%) = 20% CP = ? We know that, Putting the values in the above equation we get; Therefore, 

Q.5.    I buy a T.V. for Rs 10,000 and sell it at a profit of 20%. How much money do I get for it?
 

Here we have, CP = Rs 10,000 Profit =  SP =?   We know that, ...........(i) By substituting the values in eq (i), we get                       = Rs 12,000

Q.4.    Arun bought a car for Rs 3,50,000. The next year, the price went upto Rs 3,70,000. What was the Percentage of price increase?
 

Given that, Original price (OP) = 3,50,000 Increased price (IP) = 3,70,000 Therefore, increase in price = OP - IP = 20,000 Thus, percentage of the increase price 

Q.3.    The population of a city decreased from 25,000 to 24,500. Find the percentage decrease.
 

Given that, Initial population  = 25,000 Final population = 24,500 Total decrement = 1000  (25000 - 24500) Therefore, percentage in decrease 

Q.2.    Convert each part of the ratio to percentage:

           (d) 1 : 2 : 5

(d) 1 : 2 : 5 Sum of the ratio part = 1 + 2 + 5 = 8 therefore, the percentage of the first part the percentage of the second part  the percentage of the third part

Q.2.    Convert each part of the ratio to percentage:

           (c) 1:4

  (c) 1:4 Sum of the ratio part = 4 + 1 = 5 therefore, the percentage of the first part the percentage of the second part 

Q.2.    Convert each part of the ratio to percentage:

           (b) 2 : 3: 5

(b) 2 : 3: 5 Sum of the ratio part = 2 + 3 + 5 = 10 Therefore, the percentage of the first part  the percentage of the second part the percentage of the third part

Q.2.    Convert each part of the ratio to percentage:

           (a) 3 : 1

(a) 3: 1 The total sum of the ratio is 3 + 1 = 4 Therefore, the percentage of the first part  Percentage of the second part  

Q.1.    Tell what is the profit or loss in the following transaction. Also find profit per cent or loss per cent in each case.

           (d) A skirt bought for Rs 250 and sold at Rs 150.

          
 

We have, SP = Rs 150 CP = Rs 250 Since CP > SP  Therefore, Loss = CP-SP = Rs 100 and, Loss%

Q.1.    Tell what is the profit or loss in the following transactions. Also find profit per cent or loss per cent in each case.

           (c) A cupboard bought for Rs 2,500 and sold at Rs 3,000.
 

We have, CP = Rs 2500 SP = Rs 3000 Since SP > CP Therefore, Profit = SP - CP = 500 and, Profit %
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