A shopkeeper earns a profit of Rs.2 by selling a pen and incurs a loss of 50 paise per pencil and loss of 15 paise per eraser while selling pencils and eraser of old stock. On a particular day, he earns a profit of Rs.10. He sold 10 pens and the number of pencils and erasers he sold are in the ratio 7:10.
(a) How will you denote the profit and loss amount?
(b) Find the number of pencils and erasers he sold on that day.
(c) If he is selling on one day 30 pens, 45 pencils and 20 erasers, then what will be his total earning on that day?
Answers
Answer:
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Step-by-step explanation:
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Answer:
a. profit with (+) and loss with (-).
b. number of pencil:- 14
number of erasers:- 20
c.
Step-by-step explanation:
Profit earned by selling one pen = Rs 2 .. Profit earned by selling 10 pens = Rs 2 × 10
= Rs 20
Profit is denoted by' +' sign.
.. Profit earned by selling 10 pens = + Rs 20 Number of pencils and erasers sold are in the ratio 7:10
.. Let the number of pencils sold be 7x and that of erasers be 10x Loss incurred on one pencil = 50 paise = Rs 0.50
.. Loss incurred on 7x pencils = 0.50×7x
= Rs 3.5x
Loss is denoted by'-'sign,
:. Loss incurred on 7x pencils - Rs 3.5x
Loss incurred on 1 eraser 15 paise = Rs 0.15
... Loss incurred on 10x erasers = Rs 0.15x10x
= Rs 1.5x
Total profit earned by the shopkeeper = + Rs 10
= Rs 1.5x
Profit earned + Loss incurred Total profit
.. 20 + (- 3.5x - 1.5x) = 1t
20 + (- 5x) = 10
- 5x = 10 - 20
. - 5x = - 10
- 10 -5 .. X = = 2
.. Number of pencils sold = 7x2 = 14
Number of erasers sold = 10× 2 = 20