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Direction: Study the data carefully and answer the questions given below:
 
There are five sellers Mohit, Mohan, Manoj, Meeta and Mansi. In the following table their profit percentage is given for five different items.

   Soap   Washing powder   Shampoo   Cream 
 Mohit 10% 20% - 15%
 Mohan  - 30% 5% -
Manoj 12% 15% - 20%
Meeta - - 12% 18%
Mansi 8% - 10% -

Note: Some values are missing. The cost price of a particular item is same for all the seller.
1
After giving 8% discount Manoj earns Rs 165 by selling washing powder. If he wants to earn 20% profit, find the new discount %.
» Explain it
C
By selling washing powder manoj earns Rs 165 that is 15%.

CP of washing powder =  165  × 100 = 1100
15

Selling price of washing powder = 1100 × 115% = Rs 1265 MP of washing powder

1265  × 100 = Rs 1375
92

New selling price = 1100 × 120% = Rs 1320
 
Discount % =  1375 – 1320  × 100
1375

55  × 100 = 4%
1375

Hence, option C is correct.
 
2
The ratio of the cost price of soap and shampoo is 4 : 5 and total profit earned by Mansi after selling soap and shampoo is Rs 246. Find the total profit earned by Mohit after selling soap and cream if the cost price of cream is 20% more than the cost price of soap.
» Explain it
D
Let Cost of soap = 4x, Shampoo = 5x

4x × 8% + 5x × 10% = 246

32% x + 50% x = 246

82x = 24600

x = 300

Cost price of soap = Rs 1200, Cost price of shampoo = Rs 1500

Cost price of cream = 1200 × 120% = Rs 1440

Total profit earned by Mohit = 1200 × 10% + 1440 × 15%

= 120 + 216 = Rs 336

Hence, option D is correct.

3
The cost price of shampoo is Rs 1600 and the total profit earned by Mohit and Meeta after selling the shampoo is Rs 320. Find the ratio of the profit earned by Mohit and Meeta after selling the shampoo.
» Explain it
B
Let profit %  earned by Mohit after selling Shampoo = x%

1600 × x% + 1600 × 12% = 320

16x + 192 = 320

16x = 320 – 192

16x = 128

x = 8

Profit % = 8%

Ratio = 1600 × 8% : 1600 × 12%

= 2 : 3

Hence, option B is correct.

4
If the difference between the selling price of cream sold by Mohit and Meeta is Rs 36.9, find the cost price of cream.
» Explain it
A
Let cost price of cream = Rs x

x × 18% – x × 15% = 36.9

x × 3% = 36.9

x = 36.9 ×  100
3

x = 1230

Cost price of cream = Rs 1230

Hence, option A is correct.

5
Average selling price of soap sold by Mohit and Mohan is Rs 1575 and by Mohan and Manoj is Rs 1589, find the profit % of Mohan.
» Explain it
E
Let the cost price of soap = Rs x, profit % of Mohan = y%

x × 110% + x × (100 + y)% = 1575 × 2

110x + 100x + xy = 315000

xy = 315000 – 210x    ......1

x × (100 + y)% + x × 112% = 1589 × 2

100x + xy + 112x = 317800

xy = 317800 – 212x     ......2

Equation 1 = Equation 2

315000 – 210x = 317800 – 212x

317800 – 315000 = 212x – 210x

2800 = 2x

x = 1400

Put the value of x in equation 1

1400 × y = 315000 – 210 × 1400

1400y = 315000 – 294000

1400y = 21000

y = 15

Profit % = 15%

Hence, option E is correct.