__Question:__A man sells two commodities for Rs. 4000 each. neither loosing nor gaining in the deal. If he sold one commodity at a gain of 25%, the other commodity sold at a loss of:

**Options:**

A. | 16 2/3 % | |

B. | 18 2/3% | |

C. | 25% | |

D. | 32% | |

E. | None of these |

**Answer: Option A**

- Total S.P = 8000 Rs. and Total C.P = 8000 Rs.

S.P. of Ist commodity = Rs. 4000. Gain on it = 25%

C.P of Ist commodity = Rs. (100/125 x 4000) = Rs.3200

C.P of 2nd commodity = Rs, (8000 – 3200) = Rs. 4800.

S.P of 2nd commodity = 4000.

∴loss on 2nd commodity = (800/4800 x 100)% = 16 2/3%

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__Question 2.__The cash difference between the selling price of an article at a profit of 4% and 6% is Rs 3 the ratio of the two selling price is:

**Options:**

- 51 : 52
- 52 : 53
- 51 : 53
- 52 : 55
- None of these

**Answer: Option B**

- Let the C.P of the article be Rs.

*x*

Then required ratio = 104% of

*x*/ 106% of

*x*

= 104/106

= 52/ 53

__Question 3.__ A dealer sold an article at a loss of 2.5%. Had he sold it for Rs. 100 more, he would have gained 7.5%. To gain 12.5% he should sell it for :

**Options:**

- Rs.850
- Rs.925
- Rs.1080
- Rs.1125
- None of these

**Answer: Option D**

- Let C.P be Rs.

*x*then,

(107.5 % of

*x*) - (97.5 % of

*x*) = 100

=> 10% of

*x*= 100

=>

*x =*1000

∴ desired S.P = 112.5 % of Rs. 100

= Rs.(225/2 x 1/100 x 1000) =Rs. 1125

__Question 4.__A house and shop were sold for Rs. 1 lakh each. In this transaction the house sell resulted into 20% loss whereas the shop sell resulted into 20% of profit. The entire transaction resulted in:

**Options:**

- no loss no gain
- loss of Rs. 1/12 lakh
- loss of Rs. 1/18 lakh
- gain of Rs.1/24 lakh
- None of these

**Answer: Option B**

- Total S.P = Rs. 2 lakh.

C.P of house = Rs. (100/80 x 1)lakh = Rs 5/4 lakh

C.P of shop = Rs. (100/120 x 1)lakh = Rs. 5/6 lakh

Total C.P = Rs. (5/4 + 5/6)lakh = Rs. 25/12 lakh

∴ loss = Rs.(25/12 – 2)lakh = Rs. 1/12 lakh.

__Question 5.__ Ranjan purchased 120 tables at price of Rs. 110 per table. He sold 30 tables at a profit of Rs. 12 per table and 75 tables at profit of Rs. 14 per tables. The remaining tables were sold at a loss of Rs. 7 per table. What is the average profit per table?

**Options:**

- Rs 10.04
- Rs 10.875
- Rs 12.80
- Rs 12.875
- None of these

**Answer: Option B**

- Total C.P = Rs. (120 x 110) =Rs. 13200.

Total S.P = Rs.[(30 x 110 + 30 x 12) + (75 x 110 + 75 x 14) + (15 x 110 - 15 x 7)

=Rs..14505

Average profit = Rs. (14505 – 13200) /120

= Rs. 1305/120

= 10.875

__Question 6.__Hemant sold 10 sarees for a total profit of Rs. 460 and 12 sarees for a total profit of Rs. 144. At what profit per saree should he sell the remaining 20 sarees so that he gets an average profit of Rs. 18 per sarees?

**Options:**

- Rs 7.40
- Rs 7.60
- Rs 7.80
- Rs 8.00
- None of these

**Answer: Option B**

- Total profit required = Rs.(42 x 18) = Rs.756

Profit on 22 sarees = Rs. (460 + 144) = Rs. 604

Profit on 20 sarees = Rs. (756 – 604) = Rs. 152

Average profit on these sarees = Rs.(152/20) = Rs. 7.60

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