question_answer

Direction: Study the following information carefully and answer the questions given below:

Sarada tower has 280 households of 4 members each. The people of Sarada tower, use three different types of product viz Himalaya, Dabur and HUL. The number of persons who use the products of Himalaya is 415. The number of persons who use the products of Dabur is 50 less than the number of persons who use the products of Himalaya and 25 more than the number of persons who use the products of HUL. The number of persons who use only Himalaya and HUL products is 102. The number of people who use only Himalaya as well as Dabur products is 20 less than the number of persons who use only Himalaya and HUL products and 5 less than the number of persons who use all three products. The number of persons who use only Dabur and HUL products is 58.

The number of persons who use all three products is approximately what per cent of the total number of persons living in Sarada tower?

A)  8%                             

B)  9%     

C)       11%   

D)       6%                 

E)  13%

Correct Answer: A

Solution :

Total Number of people \[=280\times 4=1120\] The number of people who use only Himalaya \[=415-(82+87+102)=415-271=144\] Only Dabur =365-(82+87+58) =365-227=138 Only HUL =340-(102+87+58) =340-247=93 Reqd%\[=87\times \frac{100}{1120}=\frac{870}{112}\]\[=7.76\approx 8%\]