Understanding Cost per Unit in Every Day Life Situation

Q.

A shopkeeper earns a profit of Re 1 by selling one pen and incurs a loss of 40 paise per pencil while selling pencils of her old stock.

(i) In a particular month, she incurs a loss of Rs 5. In this period, she sold 45 pens. How many pencils did she sell in this period?

(ii) In the next month, she earns neither profit nor loss. If she sold 70 pens, how many pencils did she sell? [3 MARKS]

Q.

If SP > CP then then which of the following option is correct.

1. Loss = SP - CP

2. Profit = SP - CP

3. Profit = CP - SP

4. Loss = CP - SP

Q.

A man bought a shirt for Rs 500 and sold it at a loss of 20 %. Find its SP?

1. Rs 500

2. Rs 400

3. Rs 600

4. Rs 700

Q.

Question 86

Babita bought 160 kg of mangoes at Rs. 48 per kg. She sold 70 $\%$ of the mangoes at Rs. 70 per kg and the remaining mangoes at Rs. 40 per kg. Find Babita's gain or loss percent on the whole dealing.

Q.

On selling an article for $Rs.329,$ a dealer lost $6\%.$ The cost price of the article is

(a) $Rs.310.37$
(b) $Rs.348.74$
(c) $Rs.335$
(d) $Rs.350$

Q.

An article with marked price $Rs.450$ is sold for $Rs.400.$ Find the discount percent.

1. $11\frac{2}{9}\%$

2. $11\frac{1}{7}\%$

3. $10\frac{1}{9}\%$

4. $11\frac{1}{9}\%$

Q.

Question 54

The cost of a sewing machine is Rs 7000. Its value depreciates at 8% per annum. Then, the value of the machine after 2 yr is Rs 5924.80.

Q. If a person makes a profit of $10\%$ on ${\frac{1}{4}}^{th}$ of the quantity of items sold and a loss of $20\%$ on the rest of the quantity, then his net percent profit or loss is

1. $15\%$ profit
2. $15\%$ loss
3. $12.5\%$ loss
4. $12.5\%$ profit

Q.

A bookseller sold 500 copies of a book at a profit of 20%. If a book costs him 15 rupees, the selling price of the books is?

1. 10, 000 Rs

2. 7000 Rs

3. 8000 Rs

4. 9000 Rs

Q.

The cost of cricket bat is Rs. 780. If the shopkeeper sells it at a loss of 5%, find the SP.

1. Rs 741

2. Rs 380

3. Rs 95

4. Rs 371

Q.

Sunita sold a bangle for Rs. $4500$ and lost $10\%$. For how much should she have sold it to gain $20\%$.

Q.

What percent of $400$ is $20?$

Q.

Bobby bought oranges at 5 rupees a dozen. He had to sell them at a loss of 5%. Find the selling price of one orange

1. 0.5 Rs

2. 0.4 Rs

3. 1 Rs

4. 5 Rs

Q.

Study the table below and answer the question that follows :

Beverages	% of vitamin	% of minerals	% of micronutrients	Cost/250gm (In ₹)
Orange juice	20	10	40	8
Pineapple juice	15	20	10	10
Litchi juice	12	18	30	8

Which of the following beverages contains the maximum amount of Vitamins :

i) Litchi juice worth ₹ 16

ii) Pineapple juice worth ₹ 15

iii) Orange juice worth ₹ 8

iv) All the three worth ₹ 13 (125 grams each)

1. Litchi juice worth ₹ 16

2. Pineapple juice worth ₹ 15

3. Orange juice worth ₹ 8

4. All the three worth ₹ 12.5 (125 grams each)

Q.

A merchant marks a refrigerator for Rs. 12000 but agrees to give a 20% discount. Find the selling price of the refrigerator.

1. Rs. 8600

2. Rs. 8200

3. Rs. 9600

4. Rs. 9300

Q. Find cost price when selling price is 360 and loss is 10%

Q.

Find the cost price of a book which is sold for Rs. 220 at a loss of 12%.

1. 250 rupees

2. 333 rupees

3. 125 rupees

4. 210 rupees

Q. Last year the cost of 1 kg of onion was Rs 45. This year, the cost of the onion increased to Rs 60. What is the percentage change in its price?

Q. The selling price of 12 pens is equal to the cost price of 15 pens. Find the gain per cent.

Q. Harsha sold a refrigerator for ₹ 4500 at 10% loss. What was the original price of the refrigerator?

1. 5000

Q.

Question 45

In questions 24 to 59, fill in the blanks to make the statements true.
Narain bought 120 oranges at Rs. 4 each. He sold 60 % of the oranges at Rs. 5 each and the remaining at Rs. 3.50 each. His ___ is ___ % .

Q.

A chair was sold for Rs 1008 at a gain of 12%. Find the cost price of the chair.

1. Rs 900

2. Rs 780

3. Rs 700

4. Rs 950

Q.

The price of all televisions in a shop is increased by $10\%$. Calculate the new price of a television that originally cost ₹20, 000.

1. ₹ 16250

2. ₹ 16200

3. ₹ 17200

4. ₹ 22000

Q.

Amit and Richa invest $₹12000$ each in buying shares of two companies. Amit buys $15\%$, $₹100$ shares at a discount of $₹20$, while Richa buys $₹25$ shares at a premium of $20\%$. If both receive equal dividends at the end of the year, then find the rate percent of the dividend declared by Richas company.

Q. By selling an article at $\frac{2}{3}$ of the marked price, there is a loss 10%. The profit when the article is sold at the marked price, is

1. 20%
2. 30%
3. 35%
4. 40%
5. 66$\frac{2}{3}$%

Q.

Study the table below and answer the question that follows :

$\begin{array}{ccccc}\text{Beverages}& \text{\% of vitamin}& \text{\% of minerals}& \text{\% of micronutrients}& \text{Cost/250gm~(In)}\\ \text{Orange juice}& 20& 10& 40& 8\\ \text{Pineapple juice}& 15& 20& 10& 10\\ \text{Litchi juice}& 12& 18& 30& 8\end{array}$

Which of the following beverages contains the maximum amount of Vitamins :
i) Litchi juice worth ₹ 16

ii) Pineapple juice worth ₹ 15

iii) Orange juice worth ₹ 8

iv) All the three worth ₹ 12.5 (125 grams each)

1. Litchi juice worth ₹ 16

2. Orange juice worth ₹ 8

3. All the three worth ₹ 12.5 (125 grams each)

4. Pineapple juice worth ₹ 15

Q.

The temperature of a city before and after rains is in the ratio $8:7.$ What is the new temprature if the original temperature was $32°C$$?$

Q.

A farmer buys 6 dozen eggs for Rs 78. On his way back home, he sells the eggs and makes a profit of Rs 12. What price did he charge per dozen?

1. Rs 21

2. Rs 20

3. Rs 14

4. Rs 15

Q. The CP of $21$ articles is equal to SP of $18$ articles. Find the gain or loss per cent.

1. $12\frac{1}{2}$% gain
2. $12\frac{1}{2}$% loss
3. $16\frac{2}{3}$% gain
4. $16\frac{2}{3}$% loss

Q. Anuj bought two mobiles for Rs 40, 000. He sold one of them at profit of 10% and the other at a loss of 15%. If the selling price of each mobile is the same, find the cost price of each mobile.