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Comparing Quantities Test - 18

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Comparing Quantities Test - 18
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  • Question 1
    1 / -0
    C.P. $$=$$ Rs. $$1260$$, Expense $$=$$ Rs. $$240$$, S.P. $$=$$ Rs. $$1365$$, then Loss $$=$$ ______$$\%$$
    Solution
    $$\text{C.P. = Rs 1260 + 240 = Rs 1500}$$
    $$S.P. = 1365$$
    $$Loss = C.P. - S.P. = 1500 - 1365 = Rs 135$$
    $$\text{Loss%= (135/1500)  × 100 = 9%}$$
  • Question 2
    1 / -0
    Akhilesh bought a house for Rs 9,50,000. Rs 50,000 was spent on colour. For earning a profit of 14.5%, how much should sell the home for?
    Solution
    Total rupees spent to buy the building and for painting 
    $$=9,50,000+50,000=Rs.\ 10,00,000$$

    Now,
    profit taken for selling of building is more than $$14.5\%$$ of total cost of building including painting;

    So, $$14.5\%\ of\ 10,00,000$$

    $$= 1000000 \times \dfrac{14.5}{100}$$

    $$= 145000.$$

    Now,
    Selling price of building after gaining profit is
    $$=10,00,000+1,45,000=Rs.\ 11,45,000$$

  • Question 3
    1 / -0
    Tamiza sold off her Activa costing $$Rs 55,000$$ to Sharmin earning a profit of $$14\%$$. How much amount should Tamiza have got?
    Solution
    The cost price of Activa = Rs 55,000.
    Let selling price be Rs x.
    Profit will be (Rs x - Rs 55,000.)
    Profit % = (Profit*100) / Cost price.
    Now, according to the question Tamiza sold off her Activa costing Rs.55,000 to Sharmin earning a profit of 14 %.
    $$profit\,percent=[(SP-CP)/CP]*100$$
    or, $$14 = [(x-55000) /55000] *100$$
    $$14=\dfrac{(x-55000)}{55000}\times100$$
    or, 770000 = 100x - 5500000
    or, 100x = 770000 + 5500000 = 6270000
    or, x = 62,700.
    Therefore, selling price is Rs 62,700.
     
  • Question 4
    1 / -0
    A saree trader brings some sarees at $$25\%$$ rebate on $$Rs 1600$$ printed price. He sells each scree at $$Rs 1440$$ per piece. What amount of profit or loss does he make? How much percentage of rebate does a customer earn?
    Solution
    $$\text{discount % availed by the trader = 25%}$$
    $$\text{Printed price of the saree = Rs 1600}$$
    $$\text{Actual Cost Price of the saree = Rs 1600 - 1600}$$ $$\times \dfrac{25}{100} = Rs 1600 - 400
     = Rs 1200$$
    $$\text{Now Selling price of the saree = Rs 1440.}$$
    $$\text{Profit = Selling price - Cost Price = Rs 1440 - Rs 1200 = Rs 240.}$$
    $$rebate=\text{Print price - selling price}=1600-1440=160$$
    $$rebate\%=\dfrac{rebate}{print\,price}\times100=\dfrac{160}{1600}\times100=10\%$$
  • Question 5
    1 / -0
    A car was sold at $$Rs 80,000$$ through a broker. The broker charged $$2.5\%$$ brokerage from both the seller and the buyer. What is the total amount of brokerage received by the broker?
    Solution
    From the buyer side, broker get charge$$=2.5\%\ of\ 80000=Rs.\ 2000$$

    From the seller side, broker get charge$$=2.5\%\ of\ 80000=Rs.\ 2000$$

    Hence total brokerage charge he get$$=2000+2000=Rs.\ 4000$$
  • Question 6
    1 / -0
    By paying $$2\%$$ brokerage for buying an old scooter for $$Rs 15,000$$ through a broker. At what amount is the scooter bought?
    Solution
    Amount the scooter bought = 15000+(2/100)15000
    = 15000 + 300
    = Rs 15300
  • Question 7
    1 / -0
    Deepali has bought a sofa set for Rs 14,500. There is an additional expense of Rs 500 on it. Since she did not like the sofa set, she sold it bearing a loss of 8.5%. For how much did she sell the sofa set?
    Solution
    Original price =100
    then
    14500+500 = 15000

    total cost = 15000
    loss = 8.5%
    then,

    $$\text{Total SP=[(100-Loss%)/100]*(Cost price)}$$
    $$= (91.5/100)*15000$$
    $$= 91.5*150$$
    $$= 13725$$
  • Question 8
    1 / -0
    Vinodbhai sold his shop through a broker for $$Rs 7,50,000$$. The broker charged $$1\%$$ brokerage for this work. What amount did Vinodbhai get on selling the shop?
    Solution
    Brokerage charge$$=1\%\ of\ 7,50,000=Rs.\ 7,500$$

    Hence amount received by Vinodhbhai$$=7,50,000-7,500=Rs.\ 7,42,500$$
  • Question 9
    1 / -0
    Find the rate of interest if the interest Rs.$$1323$$ is earned on Rs.$$4200 $$for$$ 3.5$$ years ?
    Solution
    $$SI=\dfrac {PTR}{100}$$
    $$1323=\dfrac {4200 \times 3.5 \times R}{100}$$
    $$1323=R\times 147$$
    $$\therefore R=\dfrac {1323}{147}$$
    $$=9\%$$
  • Question 10
    1 / -0
    Vivekbhai bought a TV for Rs 16,000. Rs 200 was spent on transportation and labour. For earning 12 % profit, what price should it be sold?
    Solution
    Vivkebhai bought a TV = 16,000 Rs.
    transportation and labor price = 200 Rs.
    ∴ now C.P = 16,000 + 200 = 16,200 Rs.

    for earning 12% profit, Let selling price = X Rs.
    X = C.P + 12% of C.P
    = 16,200 + (12 × 16,200)/100
    = 16,200 + 12 × 162
    = 16,200 + 1,944
    = 18,144 Rs.

    hence, selling price of TV will be 18,144 Rs. 
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