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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