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By Selling 20 Umbrellas for Rs. 2400, A man losses 20%, How many should he sell for Rs. 7200 to gain 20%?
- 34
- 31
- 40
- 42
Answer (Detailed Solution Below)
Option 3 : 40
Free
NCERT 1: History (Our Past I - Class 6th)
10 Questions 20 Marks 12 Mins
Given:
Selling Price of 20 Umbrellas = 2400.
Loss = 20%
Concept:
If an item is sold at a profit of x%, and the CP = y
Then, SP = [(100 + x)/100] × y
Similarly,
If an item is sold at a loss of a%, and the CP = y
Then, SP = [(100 - a)/100] × y
Calculation:
Let the number of umbrellas to be sold be x
Now, the unit SP = 2400/20 = Rs.120
Hence, the unit CP is obtained as:
120 = [(100 - 20)/100] × CP
⇒ Unit CP = Rs.150
Now, for a profit of 20%, the SP of the each umbrellas has to be:
7200/x = [(100 + 20)/100] × 150
⇒ 7200/x = 180
⇒ x = 40
∴ The number of umbrellas to be sold is 40
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