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Directions (1-5): Three partners Shiva, Shivani and Shanmu invested different amounts in different years for different time periods and shared their profit from total profit given as follows.
| Amount invested(in Rs) | Number of months the amount invested | Total profit
(in Rs) |
|||||
| Year | Shiva | Shivani | Shanmu | Shiva | Shivani | Shanmu | |
| 2001 | X | X+3050 | X+4315 | 6 | U | U | 22450 |
| 2002 | Y | 23000 | Y | 8 | 6 | 10 | – |
| 2003 | 31000 | 34000 | 30000 | S | R | S+3 | – |
| 2004 | 34000 | – | 31000 | 10 | 12 | R | 48100 |
| 2005 | 36000 | – | 38500 | 12 | T | 12 | 65000 |
1. If Shivani’s investment in 2004 is Rs 8000 less than that of Shiva’s investment in the same year and Shanmu’s profit in 2004 is Rs 15500 then find for how many months did Shanmu invest his money in the year 2004.
- 9months
- 10 months
- 6months
- 12months
- 11months
2. Find the profit of Shanmu in 2003, if the profit of Shiva and Shivani in the same year is Rs 13950 and Rs 17000 respectively. (R-value is taken from the above question)
- Rs 18000
- Rs 15580
- Rs 17000
- Rs17500
- Rs 16000
3. In 2001, if the difference between the profit shares of Shivani and Shanmu is Rs 550 and profit share of Shiva is Rs 7500, then find total investment of all of three.
- Rs 42680
- Rs 47280
- Rs 43270
- Rs 47908
- Rs 47895
4. Shivani’s investment in 2005 is 32% greater than that of Shiva in same year and the value of T is 12 months. If profit of Shivani is Rs 23760, then what is the profit of Shanmu?
- Rs 15820
- Rs 16520
- Rs 19250
- Rs 15880
- Rs 18580
5. In 2002, profit of Shiva and Shanmu together is Rs 16400 and the difference between their profit shares is Rs 1200. Find the total profit in that year.
- Rs 27920
- Rs 24650
- Rs 31620
- Rs 19720
- Cannot be determined
Directions (Q. 6 – 10) Read the following information carefully and answer the given questions. The table below shows the percentage discount allowed by different shops on different items.
| Shops | Item A | Item B | Item C | Item D |
| P
|
10% | 10% | ||
| Q | 15% | 25% | ||
| R |
20% |
30% | ||
| S | 12% | 18% | ||
| T
|
15% | 24% | ||
| U | 16% | 28% |
Note: All the questions are independent from other questions.
- If the cost price of item B sold by shop Q is Rs. 2040 and the profit percentage earned by the shopkeeper on item B is 20 % more than the discount percentage allowed by the shopkeeper on item B, then find the marked price of Item B sold by shop Q?
a) Rs. 3248
b) Rs. 2456
c) Rs. 2832
d) Rs. 2655
e) None of these
- If the marked price of item B sold by shop S is twice the marked price of item D sold by the same shop and the total selling price of these items is Rs. 8643 then find the cost of price of item B which is sold at a profit of 10%?
a) Rs. 7255
b) Rs. 5875
c) Rs. 4790
d) Rs. 5360
e) Rs. 6475
- If the marked price of item A and C of shop T is same and the discount allowed on item C is Rs. 192 then find the cost price of item A if the profit percentage earned by the shopkeeper of the shop T in item A is 25 %?
a) Rs. 616
b) Rs. 544
c) Rs. 592
d) Rs. 658
e) None of these
- If the total discount allowed by the shop P on item C and D is Rs. 1462 and the marked price of item C is Rs. 8500 then find the discount percentage allowed on item D if the selling price of item C and marked price of item D is equal?
a) 14 %
b) 10 %
c) 6 %
d) 12 %
e) 8 %
- If the cost price of item A sold by shop R is Rs. 16500 and the profit percentage earned by the shopkeeper on selling the item is 2/5 of the discount percentage allowed, then find the marked price of item A?
a) Rs. 22275
b) Rs. 11175
c) Rs. 13397
d) Rs. 12050
e) Rs. 16475
Answers:
1). Answer: b
Shivani’s investment in 2004=34000-8000= Rs 26000
Since Shanmu’s profit is Rs 15500, then total profit of Shiva and Shivani together =48100-15500=Rs 32600
Then 15500/32600= (31000*R)/(34000*10+26000*12)
155/326=31*R/652
R=10 months.
2). Answer: a
From above question, we have R= 10 months.
Then 13950/17000= (31000*S)/(34000*10)
S=9 months.
Let profit of Shanmu be Rs a.
Then a/17000= (30000*12)/ (34000*10)
a=Rs 18000
(i.e) Profit of Shanmu=Rs 18000
3). Answer: e
From table, total profit of all three partners in 2001=22450
Given that profit share of Shiva=Rs 7500
Then total profit of Shivani and Shanmu= 22450-7500=Rs 14950
Since the difference between the profit shares of Shivani and Shanmu is Rs 550,
Profit share of Shivani=Rs 7200 and
Profit share of Shanmu=Rs 7750 [If the investment is more, then the share of profit also more than that of others]
Then (X+3050)/(X+4315) =7200/7750
(X+3050)/(X+4315) = 144/155
155x + 472750 = 144x + 621360
11x = 148610
X= Rs 13510
Thus, total investment of all three partners=13510+13510+3050+13510+4315
=Rs 47895
4). Answer: c
Shivani’s investment in 2005=36000*(132/100) =Rs 47520
Let the profit of Shanmu be P,
Then, according to the question,
(47520/38500)=23760/P [Here period is equal, so, the ratio of profit = Ratio of investment]
P= (23760*38500)/47520
P=Rs 19250
5). Answer: e
Without knowing the shares of investments of Shiva and Shanmu, We cannot find the total profit of all three partners in that year.
Direction (6-10)
6). Answer: c
Profit % = 15*(120/100) = 18 %
According to the question,
CP*[(100+ P%)/100] = [(100- d%)/100]*MP
2040*(118/100) = (85/100)*MP
MP = 2040*(118/100)*(100/85)
MP = Rs. 2832
7). Answer: d
Let the marked price of item D sold by shop S be x
The marked price of item B sold by shop S = 2x
Selling price of item B= 2x*88/100
Selling price of item D= x*82/100
So,
2x*88/100 + x*82/100 = 8643
258x/100 = 8643
x= 8643*(100/258)
x= 3350
Selling price of item B= 2x*88/100 = (2*3350)*(88/100) = Rs. 5896
Cost price of item B= 5896*100/110= Rs. 5360
9). Answer: e
Selling price of item C = Marked price of item D
Discount allowed on item C
= 8500*10/100
= Rs. 850
Selling price of item C= 8500*(90/100) = Rs. 7650
Marked price of item D = Rs. 7650
Discount allowed on item D= 1462 – 850= Rs. 612
MP*(D %/100) = 612
7650*(D %/100) = 612
Discount % for item D = 612*(100/7650) = 8 %
10). Answer: a
Profit percentage earned on item A sold by shop R
= 2*20/5= 8%
Selling price of item A= 16500*108/100= Rs. 17820
Marked price of item A= 17820*100/80= Rs. 22275
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