1. A shopkeeper purchased 70 kg of potatoes for Rs. 420 and sold the whole lot at the rate of Rs. 6.50 per kg. What will be his gain percent ?

a) $$4\frac{1}{6}$$%

b) $$6\frac{1}{4}$$%

c) $$8\frac{1}{3}$$%

d) 20%

Explanation:

$$\eqalign{ & {\text{C}}{\text{.P}}{\text{. of 1 kg}} \cr & = {\text{Rs}}.\left( {\frac{{420}}{{70}}} \right) \cr & = {\text{Rs}}{\text{. }}6. \cr & {\text{S}}{\text{.P}}{\text{. of 1 kg}} \cr & = {\text{Rs}}{\text{. }}6.50. \cr & {\text{Gain}}\% = \left( {\frac{{0.50}}{6} \times 100} \right)\% \cr & \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\, = \frac{{25}}{3}\% \cr & \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\, = 8\frac{1}{3}\% \cr} $$

2. A merchant marked cloth at Rs. 50 metre. He offers 2 successive discounts of 15% and 20%. The net price/metre is =?

a) Rs. 32.50

b) Rs. 42.50

c) Rs. 34.00

d) Rs. 40.00

Explanation:

$$\eqalign{ & 15\% = \frac{3}{{20}}\left( - \right) \cr & 20\% = \frac{1}{5}\left( - \right) \cr} $$

Marked Price | : | Net Price |

20 | : | 17 |

5 | : | 4 |

100 | : | 68 |

1 unit = Rs. 0.50

68 units = Rs. 34

3. If the cost price of 10 articles is equal to the selling price of 7 articles, then the gain or loss percent is = ?

a) 51% gain

b) $$42\frac{6}{7}$$% gain

c) 35% loss

d) $$42\frac{6}{7}$$% loss

Explanation:

10 Cost Price = 7 Selling Price

$$\eqalign{ & \frac{{{\text{CP}}}}{{{\text{SP}}}} = \left. {\frac{7}{{10}}} \right\rangle {\text{3 unit profit}} \cr & {\text{Profit}}\% = \frac{3}{7} \times 100 \cr & \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\, = 42\frac{6}{7}\% {\text{ gain}} \cr} $$

4. A coconut merchant finds that the cost price of 2750 coconuts is the same as the selling price of 2500 coconuts. His loss or gain will be =?

a) 5% loss

b) 10% gain

c) 15% loss

d) 20% gain

Explanation:

2750 Cost Price = 2500 Selling Price

$$\eqalign{ & \frac{{{\text{CP}}}}{{{\text{SP}}}} = \frac{{2500}}{{2750}} = \left. {\frac{{10}}{{11}}} \right\rangle {\text{1 unit profit}} \cr & {\text{Profit}}\% = \frac{1}{{10}} \times 100 \cr & \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\, = 10\% {\text{ gain}} \cr} $$

5. By selling an article for Rs. 100 a man gains Rs.15. Then, his gain % is -

a) 15%

b) $$12\frac{2}{3}$$%

c) $$17\frac{{11}}{{17}}$$%

d) $$17\frac{1}{4}$$%

Explanation:

$$\eqalign{ & {\text{S}}{\text{.P}}{\text{.}} = {\text{Rs}}{\text{. }}100 \cr & {\text{Gain}} = {\text{Rs}}{\text{. }}15. \cr & {\text{C}}{\text{.P}}{\text{.}} = {\text{Rs}}.\left( {100 - 15} \right) \cr & \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\, = {\text{Rs}}{\text{. }}85 \cr & {\text{Gain }}\% = \left( {\frac{{15}}{{85}} \times 100} \right)\% \cr & \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\, = \frac{{300}}{{17}}\% \cr & \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\, = 17\frac{{11}}{{17}}\% \cr} $$

6. A trader buys some goods for Rs. 150. If the overhead expenses be 12% of cost price, then at what price should it be sold to earn 10% ?

a) Rs. 184.80

b) Rs. 185.80

c) Rs. 187.80

d) Rs. 188.80

Explanation:

Total C.P. = Cost + Overhead Expenses

= Rs. (150 + 12% of 150)

= Rs. (150 + 18)

= Rs. 168

$$\eqalign{ & {\text{S}}{\text{.P}}{\text{.}} = {\text{Rs}}{\text{.}}\left( {\frac{{110}}{{100}} \times 168} \right) \cr & = {\text{Rs}}{\text{. }}184.80 \cr} $$

7. If the loss of percent on article is 15%. Then the ratio of the cost price and selling price will be = ?

a) 17 : 20

b) 20 : 17

c) 23 : 15

d) 15 : 23

Explanation:

The loss of percent on article is 15%

$$\eqalign{ & 15\% = \frac{{15}}{{100}} = \frac{{3 \to {\text{Loss}}}}{{20 \to {\text{C}}{\text{.P}}{\text{.}}}} \cr & {\text{Selling price }} = 17 \cr & {\text{C}}{\text{.P}}{\text{.}}:{\text{S}}{\text{.P}}{\text{.}} = 20:17 \cr} $$

8. List price of T.V is Rs. 2300 and discount series found to be 25% ans 10%. Then the selling price of T.V is = ?

a) Rs. 1255.50

b) Rs. 1525.50

c) Rs. 1552.50

d) Rs. 1555.20

Explanation:

$$\eqalign{ & {\text{List price of T}}{\text{.V}} = {\text{2300}} \cr & {\text{Selling price}} \cr & = 2300 \times \frac{{75}}{{100}} \times \frac{{90}}{{100}} \cr & = {\text{Rs}}{\text{. 1552}}{\text{.50}} \cr} $$

9. Gopi goes from place A to B to bye an article costing 15% less at B, although he spends Rs. 150 on travelling, still he gains Rs. 150 compared to buying it at A. His profit percent is = ?

a) 4.5%

b) 6%

c) 7.5%

d) 8%

Explanation:

Let price at A = 100x

Then price at B = 85x → 15%

Discount

According to the question,

100x - (85x + 150) = 150

15x = 300

x = 20

Price at A = 100 × 20 = 2000

Price at B including travelling charges

= 85x = 150

= 85 × 20 + 150

= 1700 + 150

= 1850

$$\eqalign{ & {\text{Percentage profit }} \cr & = \frac{{2000 - 1850}}{{2000}} \times 100 \cr & = \frac{{150}}{{2000}} \times 100 \cr & = 7.5\% \cr} $$

10. If an article is sold at 200 percent profit, then the ratio of its cost price to its selling price will be -

a) 1 : 2

b) 2 : 1

c) 1 : 3

d) 3 : 1

Explanation:

Let C.P. = Rs. x

Profit = 200%

S.P. = 300% of Rs. x = Rs. 3x

Required ratio = x : 3x = 1 : 3