17. A shopkeeper earns a profit of Rs 1 on each pen he sells and a loss of 50 paise on each pencil he sells. (i) In April he sold 50 pens and 30 pencils, what is his profit or loss for that month? (ii) In May he sold 15 pens and 45 pencils, what is his profit or loss for that month? (iii) In June he sold 30 pens and his loss for that month was Rs 10, how many pencils did he sell?
Answers
Given that :-
⇒ Profit of shopkeeper on selling a pen = Rs.1
⇒ Loss of shopkeeper on selling a pencil = 50 paisa or Rs.0.50
To find :-
⇒ Profit or Loss of the shopkeeper in April if he sold 50 pens and 30 pencils.
⇒ Profit or Loss of the shopkeeper in May if he sold 15 pens and 45 pencils.
⇒ Pencils sold in June by the shopkeeper if he sold 30 pens and his loss was of Rs.10.
Required :-
If the pens sold is more than double the pencil sold, its profit or else loss.
(i) Here,
50 > 30
= Profit.
Profit of
= (50 × 1) - (30 × 0.50)
= 50 - 15
= Rs.35
Answer :- There was a profit of Rs.35 in April.
(ii) Here,
45 > 15
= Loss
Loss of
= (45 × 0.50) - (15 × 1)
= 22.50 - 15
= Rs.7.50
(iii) The pens sold is 30 and loss is Rs.10, so the pencils sold is
= 30 × 1 = Rs.30 - Profit
= If 80 pencils are sold so the loss is Rs.40 and there was already a profit of Rs.30, so (Rs.40 - Rs.30) = Loss of Rs.10.