1. A man bought goods worth Rs. 6000 and sold half of them at a gain of 10%. At what gain percent must he sell the remainder so as to get a gain of 25% on the whole? (Rs. = Rupees)

a. 25%

b. 30%

c. 35%

d. 40%

## EXPLANATION

The correct option is **A**

CP of goods = Rs 6000

percent gain required = 25%

Amount required after sale of All goods = Rs 7500

Gain percent on half goods = 10%

Amount collected after sale of Half of goods = Rs 3300

Amount yet to be recovered = Rs 4200

Profit margin required = Rs 1200

Profit percent required = 1200 / 3000 * 100 = 40%

2. A merchant blends two varieties of tea from two different gardens, one costing Rs. 45 per kg and other Rs. 60 per kg in the ratio of 7 : 3 respectively. He sells the blended variety at Rs.

54.45 per kg. The profit percentage in the transaction is (Rs. = Rupees, kg = kilograms)

a. 5%

b. 10%

c. 9^1/11%

d. 1^11/9%

## EXPLANATION

Let’s assume that the merchant blends 7 kg of the first tea (costing Rs. 45 per kg) and 3 kg of the second tea (costing Rs. 60 per kg). Therefore, the total cost of the blended tea per kg would be:

(7 x 45) + (3 x 60) = 315 + 180 = 495

The merchant sells the blended tea at Rs. 54.45 per kg, which means his profit per kg is:

Profit = Selling price – Cost price Profit = 54.45 – 49.5 Profit = 4.95

Therefore, the profit percentage can be calculated as:

Profit percentage = (Profit / Cost price) x 100 Profit percentage = (4.95 / 49.5) x 100 Profit percentage = 10%

So the merchant’s profit percentage is 10%.

3. After selling an article at a discount percentage of 50%, profit percentage obtained is 20%. What is the mark-up over cost price?

a. 70% of cost price

b. 140% of cost price

c. 60% of cost price

d. 80% of cost price

## EXPLANATION

MP / CP = 100 + P% / 100 – D%

MP / 100 = 120 / 50

MP = 240

Marked up price = 240 – 100 / 100 * 100 = 140%

4. A person purchases 90 clocks and sells 40 clocks at a gain of 10% and 50 clocks at a gain of 20%. If he sold all of them at a uniform profit of 15% then he would have got Rs. 40 less. The cost price of each clock is

a. Rs. 50

b. Rs. 60

c. Rs. 80

d. Rs. 90

## EXPLANATION

The correct option is C

Rs. 80

Let C.P. of each clock be Rs. x.

Then, C.P. of 90 clocks = Rs. 90x.

∴ [(110 \% of 40x) + (120% of 50x)] – (115% of 90x) = 40

=> 44x + 60x – 103.5x = 40

=> 0.5x = 40

=> x = 80.

5. Kalpesh, Bhavesh and Zankar jointly thought of engaging themselves in a business venture. It was agreed that Kalpesh would invest Rs. 6,500 for 6 months; Bhavesh Rs. 8400 for 5 months; and Zankar Rs. 10,000 for 3 months. Kalpesh is the working member for which, he will receive 5% of the profits. The total profit earned was Rs. 7,400. Calculate the share of Bhavesh in the profit. (Rs. = Rupees)

a. Rs. 1900

b. Rs. 2660

c. Rs. 2520

d. Rs. 2840

## EXPLANATION

**Kalpesh Bhavesh Zankar**

6,500 * 6 : 8,400 * 5 : 10,000*3

39,000 : 42,000 : 30,000

39 : 42 : 30

**13 : 14 : 10**

37 ——> 7,400

1 ——> 200

Kalpesh gets = 7400 * 10% = 740 ; Balance = 6,660

Bhavesh’s share = 14/37 * 6,660 = 2,520

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