Exercise 3.1 - Chapter 3 Bill Profit and Loss Term 2 6th Maths Guide Samacheer Kalvi Solutions - SaraNextGen [2024-2025]

Updated By SaraNextGen

On April 24, 2024, 11:35 AM

Question $1 .$  : Chapter 3 Bill Profit and loss Term 2 6th Std Maths guide Samacheer Kalvi Solutions
A School purchases some furniture and gets the following bill.

(i) What is the name of the store?
(ii) What is the serial number of the bill?
(iii) What is the cost of a blackboard?
(iv) How many sets of benches and desks does the school buy?
(v) Verify whether the total bill amount is correct.

Solution:
(i) Mullai Furniture Mart, Thanjavur
(ii) Serial No. 728
(iii) Cost of a blackboard is ₹ 3000
(iv) 50 sets
(v) Yes, the total bill amount is correct.

Question 2 .
Prepare a bill for the following books of biographies purchased from Maruthu Book Store, Chidambaram on $12.04 .2018$ bearing the bill number 507 .
10 copies of Subramanya Bharathiar@₹55each,15 copies of Thiruvalluvar@ ₹ 75 every 12 copies of Veeramamunivar@₹ 60 each and 12 copies of Thiru. Vi.Ka@₹ 70 each.
Solution:

Question $3 .$
Fillup the appropriate boxes in the following table.

Solution:
(i) Here Cost price $<$ Selling price
Profit $=$ S.P $-$ C.P $=120-100=₹ 20$
Here S.P > C.P
Profit $=$ S.P $-$ C.P $=120-110=₹ 10$
(iii) Profit = ₹ 20
Profit $=$ S.P. $-$ C.P $\Rightarrow 20=$ S.P. $-120$
$\Rightarrow 20=$ S.P. $-120$

$\Rightarrow 20+120=$ S.P
$\Rightarrow$ S.P $=₹ 140$
(iv) C.P $=₹ 100$
S.P $=₹ 90$
Here S.P $<$ C.P
Loss $=100-90=₹ 10$
(v) Profit $=$ S.P - C.P
$\Rightarrow 25=$ S.P $-120$
$\Rightarrow 25+120=$ S.P
$\Rightarrow$ S.P $=₹ 145$

Question $4 .$
Fill up the appropriate boxes in the following table.

Solution:
(i) S.P. = M.P - Discount
S.P $=₹ 130$
Here S.P > C.P
Profit $=$ S.P $-$ C.P $=130-110=₹ 20$
(ii) S.P $=$ M.P $-$ Discount $=130-10=₹ 120$
Here S.P > C.P
Profit $=$ S.P $-$ C.P $=₹ 120-₹ 110=₹ 10$
(iii) S.P $=\mathrm{M} . \mathrm{P}-$ Discount $=130-30=₹ 100$

Here S.P $<$ C.P
Loss $=110-100=₹ 10$
(iv) C.P $=₹ 110$
$\mathrm{M} . \mathrm{P}=₹ 120$
Loss $=₹ 10$
Loss $=$ C.P - S.P
$\Rightarrow 10=110-\mathrm{SP}$
$\Rightarrow \mathrm{SP}=110-10=₹ 100$
Discount $=$ M.P $-$ S.P $=120-100=₹ 20$
(v) M.P = ₹ 120
Discount $=₹ 10$
Discount $=$ M.P $-$ S.P
$\Rightarrow 10=120-$ S.P
$\Rightarrow$ S.P $=120-10=₹ 110$
Profit $=₹ 20$
Profit $=$ S.P $-$ C.P
$\Rightarrow 20=110-$ C.P
$\Rightarrow$ C.P $=110-20=90$

Question $5 .$
Rani bought a set of bangles for Rs 310 . Her neighbour liked it most. So, Rani sold it to her for Rs 325 . Find the profit or loss to Rani.
Solution:
CP $=$ Rs 310
$\mathrm{SP}=$ Rs 325
Profit $=\mathrm{SP}-\mathrm{CP}=$ Rs $325-$ Rs $310=$ Rs 15
 

Question $6 .$
Sugan bought a Jeans pant for $₹ 750$. It did not fit him. He sold it to his friend for $₹ 710$. Find the profit or loss to sugan.
Solution:
C.P of the Jeans pant $=₹ 750$
S.P of the Jeans pant $=₹ 710$
Here S.P $<$ C.P
Loss $=$ C.P $-$ S.P $=750-710=₹ 40$
Loss $=₹ 40$

Question $7 .$
Somu bought a second hand bike for Rs 28,000 and spent Rs 2,000 on its repair. He sold it for Rs 30,000 . Find his profit or loss.
Solution:
$\begin{aligned}
&\mathrm{CP}=\mathrm{Rs} 28,000+\mathrm{Rs} 2,000 \\
&\mathrm{CP}=\mathrm{Rs} 30,000 \\
&\mathrm{SP}=\mathrm{Rs} 30,000 \\
&\mathrm{CP}=\mathrm{SP}
\end{aligned}$
No profit / Loss

Question 8 .
Muthu has a car worth ₹ $8,50,000$ and he wants to sell it at a profit of ₹ 25,000 . What should be the selling price of the car? Solution:
Cost price of the car $=₹ 8,50,000$
Expected profit $=₹ 25,000$
We know that profit $=$ S.P $-$ C.P
$\begin{aligned}
&25000=\mathrm{S} . \mathrm{P}-8,50,000 \\
&\Rightarrow 25,000+8,50,000=\mathrm{S} . \mathrm{P} \\
&\Rightarrow \mathrm{S} . \mathrm{P}=8,75,000
\end{aligned}$
Selling Price of the car should be $₹ 8,75,000$

Question $9 .$
Valarmathi sold her pearl set for Rs 30,000 at profit of Rs 5,000 . Find the cost price of the pearl set.
Solution:
$\begin{aligned}
&\text { SP }=\text { Rs } 30,000 \\
&\text { Profit }=\text { Rs } 5,000 \\
&\text { CP }=\text { SP }-\text { Profit } \\
&=\text { Rs } 30,000-\text { Rs } 5,000 \\
&=\text { Rs } 25,000
\end{aligned}$

Question 10 .
If Guna marks his product to be sold for ₹ 325 and gives a discount of ₹ 30 , then find the S.P.
Solution:
Marked Price of the Product $=₹ 325$
Discount $=₹ 30$
Selling Price $=$ M.P $-$ Discount $=325-30=₹ 295$
S.P. $=₹ 295$
 

Question $11 .$
A man buys a chair for 1,500 . He wants to sell it at a profit of Rs 250 after making a discount of Rs 100. What is the M.P. of the chair?

Solution:

CP $=$ Rs 1,500 Profit $=$ Rs 250 SP $=$ CP $+$ Profit $=$ Rs $1,500+$ Rs 250 $=$ Rs 1,750 Discount $=$ Rs 100 SP $=$ MP $-$ Discount MP $=$ SP $+$ Discount $=$ Rs $1,750+$ Rs 100 $=$ Rs 1,850

$\begin{aligned}
&\mathrm{CP}=\mathrm{Rs} 1,500 \\
&\text { Profit }=\mathrm{Rs} 250 \\
&\mathrm{SP}=\mathrm{CP}+\text { Profit } \\
&=\mathrm{Rs} 1,500+\mathrm{Rs} 250 \\
&=\mathrm{Rs} 1,750 \\
&\text { Discount }=\mathrm{Rs} 100 \\
&\mathrm{SP}=\mathrm{MP}-\text { Discount } \\
&\mathrm{MP}=\mathrm{SP}+\text { Discount } \\
&=\mathrm{Rs} 1,750+\mathrm{Rs} 100 \\
&=\mathrm{Rs} 1,850
\end{aligned}$

Question 12 .
Amutha marked her home product of pickle as ₹ 300 per pack. But she sold it for only ₹ 275 per pack. What was the discount offered by her per pack?
Solution:
M.P of the pickle $=₹ 300$
$\begin{aligned}
&\text { S.P }=₹ 275 \\
&\text { S.P }=\text { M.P }-\text { Discount } \\
&\Rightarrow 275=300-\text { Discount } \\
&\Rightarrow \text { Discount }=300-275=₹ 25
\end{aligned}$
Discount per pack $=₹ 25$
 

Question $13 .$
Valavan bought 24 eggs for Rs 96 . Four of them were broken and also he had a loss of Rs 36 on selling them. What is the selling price of one egg?

Solution:
Cost of $24 \mathrm{cggs}=$ Rs 96
Since 4 of the eggs were broken, the number of remaining eggs $=24-4=20$
Since the loss is Rs 36
Selling price of $20 \mathrm{eggs}$
SP $=$ CP - Loss
$=\operatorname{Rs} 96-\operatorname{Rs} 36$
$=$ Rs 60
$\therefore$ Cost of $1 \mathrm{egg}=\operatorname{Rs} 60 / 20=\operatorname{Rs} 3$
 

Question $14 .$
Mangai bought a cell phone for $₹ 12,585$. It fell down. She spent $₹ 500$ on it repair. She sold it for $₹$ 7,500 . Find her profit or loss.
Solution:
Cost of the cell phone $=₹ 12,585$
Spent on repairs $=₹ 500$
Cost price $=$ Cost of cell phone $+$ repair charge $=12,585+500=₹ 13,085$
S.P. $=7,500$
Here C.P > S.P
$\therefore$ It is loss
Loss $=$ C.P $-$ S.P $=13,085-7500=₹ 5,585$
Loss $=₹ 5,585$

Question $15 .$
Discount is subtracted from ......... to get S.P.
(a) M.P
(b) C.P
(c) Loss
(d) Profit
Solution:
(a) M.P

Question $16 .$
'Overhead expenses' is always included in
(a) S.P
(b) C.P.
(c) Profit
(d) Loss
Solution:
(b) C.P.

Question $17 .$
There is no profit or loss when
(a) C.P $=$ S.P
(b) C.P $>$ S.P
(c) C.P $<$ S.P
(d) M.P = Discount
Solution:
(a) C.P = S.P

Question $18 .$
Discount $=$ M.P
(a) Profit
(b) S.P
(c) Loss
(d) C.P
Solution:
(b) S.P