model 4 sold & brought Section-Wise Topic Notes With Detailed Explanation And Example Questions

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The following question based on profit & loss topic of quantitative aptitude

Questions : Some articles were bought at 6 for Rs.5, and sold at 5 for Rs.6. Gain per cent is :

(a) 6%

(b) 30%

(c) 5%

(d) 44%

The correct answers to the above question in:

Answer: (d)

Let number of articles bought = 6 × 5 = 30

C.P. of 30 articles = Rs.$(5/6 × 30)$ = Rs.25

S.P. of 30 articles = Rs.$(6/5 × 30)$ = Rs.36

Gain % = ${36 - 25}/25 × 100$ = 44%

Using Rule 13,

Here, a = 6, x = 5, b = 5, y = 6

Gain% = $({ay - bx}/{bx})$ × 100%

= $({6 × 6 - 5 × 5}/{5 × 5})$ × 100%

= $({36 - 25}/25) × 100% = 11/25 ×100%$ = 44%

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Read more sold brought Based Quantitative Aptitude Questions and Answers

Question : 1

Ramesh bought 10 cycles for Rs.500 each. He spent Rs.2,000 on the repair of all cycles. He sold five of them for Rs.750 each and the remaining for Rs.550 each. Then the total gain or loss % is

a) Loss of 8$1/3$%

b) Gain of 7$2/3$%

c) Gain of 8$1/3$%

d) Loss of 7$1/7$%

Answer: (d)

Using Rule 2,

Total actual C.P. = Rs.(500 × 10 + 2000) = Rs.7000

And total S.P. = Rs.(5 × 750 + 5× 550)

= Rs.(3750 + 2750) = Rs.6500

Loss = 7000 - 6500 = Rs.500

Loss percent = $500/7000 × 100 = 50/7 = 7{1}7%$

Question : 2

On selling 17 balls at Rs.720, there is a loss equal to the cost price of 5 balls. The cost price of a ball is :

a) Rs.50

b) Rs.60

c) Rs.45

d) Rs.55

Answer: (b)

Let the CP of each ball = x.

Then, clearly the cost price of (17 - 5) balls = Rs.720

i.e., 12x = 720 ⇒ x = 60 i.e. Rs.60

Question : 3

I purchased 120 exercise books at the rate of Rs.3 each and sold $1/3$ of them at the rate of Rs.4 each, $1/2$ of them at the rate of Rs.5 each and the rest at the cost price. My profit per cent was

a) 44$4/9$%

b) 44$2/3$%

c) 44%

d) 45%

Answer: (a)

Using Rule 1,

CP of 120 excercise books = Rs.(120 × 3) = Rs.360

SP of 40 at Rs.4 each = Rs.(40 × 4) = Rs.160

SP of 60 at Rs.5 each = Rs.(60 × 5) = Rs.300

SP of remaining 20 books = Rs.(20 × 3) = Rs.60

Total SP = Rs.(160 + 300 + 60) = Rs.520

Profit % = Rs.(520 - 360) = Rs.160

Profit% = $160/360 × 100 = 400/9 = 44{4}/9%$

Question : 4

The cost price of two dozen bananas is Rs.32. After selling 18 bananas at the rate of Rs.12 per dozen, the shopkeeper reduced the rate to Rs.4 per dozen. The per cent loss is

a) 32.4%

b) 36.5%

c) 25.2%

d) 37.5%

Answer: (d)

Using Rule 2

If C.P > S.P., then there will be Loss

Loss = C.P. - S.P., Loss% = ${Loss × 100}/{C.P.}$

Total C.P. = Rs.32

Total S.P. = Rs.(18+2) = Rs.20

Loss = Rs.(32-20) = Rs.12

Loss per cent = $12/32 × 100$ = 37.5%

Question : 5

Oranges are bought at the rate of 10 for Rs.25 and sold at the rate of 9 for Rs.25. The profit percent is

a) 10%

b) 11$1/9$%

c) 9$1/11$%

d) 12$1/2$%

Answer: (b)

Suppose the number of oranges bought

= LCM of 10 and 9 = 90

C.P. of 90 oranges = $25/10 × 90$ = Rs.225

S.P. of 90 oranges = $25/9 × 90$ = Rs.250

Profit % = $25/225 × 100 = 100/9 = 11{1}/9%$

Using Rule 13,

Here, a = 10, x = 25, b = 9, y = 25

Gain% = $({ay - bx}/{bx})$ × 100%

= $({10 × 25 - 9 × 25}/{9 × 25}) × 100%$

= $({250 - 225}/{9 × 25}) × 100% = 100/9 = 11{1}/9%$

Question : 6

100 oranges are bought for Rs.350 and sold at the rate of Rs.48 per dozen. The percentage of profit or loss is :

a) 15% gain

b) 14$2/7$% loss

c) 15% loss

d) 14$2/7$% profit

Answer: (d)

C.P. of 100 oranges = Rs.350

S.P. of 12 oranges = Rs.48

S.P. of 100 oranges

= $48/12 × 100$ = Rs.400

Profit = Rs. (400 - 350) = Rs.50

Profit % = $50/350 × 100 = 100/7 = 14{2}/7%$

Using Rule 13,

Here, a = 100, x = 350, b = 100, y = $48/12$ × 100 = 400

Gain% = $({ay - bx}/{bx})$ × 100%

= ${100 × 400 - 100 × 350}/{100 × 350}$ × 100%

= ${40 - 35}/35 × 100%$

= $100/7% = 14{2}/7$%

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