Question

Three friends went to a hotel and had breakfast to their taste, paying Rs 16, Rs 17 and Rs 21 respectively
(i) Find their mean expenditure.
(ii) If they have spent 3 times the amount that they have already spent, what would their mean expenditure be?
(iii) If the hotel manager offers 50% discount, what would their mean expenditure be?

• A. (i) Rs : 18
  (ii) Rs : 54
  (iii) Rs: 9
• B. (i) Rs : 8
  (ii) Rs : 4
  (iii)Rs: 10
• C. (i) Rs : 10
  (ii) Rs : 55
  (iii) Boportional
• D. (i) Rs : 180
  (ii) Rs : 540
  (iii) Rs: 7

Answer 1

The correct option is A (i) Rs : 18

(ii) Rs : 54
(iii) Rs: 9
$\left(i\right)$

Number of people $=3$

Total money spend on breakfast $=Rs.(16+17+21)=Rs.54$

Required mean $=\frac{54}{3}=Rs.18$

$\left(ii\right)$

Number of people $=3$

Total money spend on breakfast $=Rs.(16+17+21)\times 3=Rs.162$

Required mean $=\frac{162}{3}=Rs.54$

$\left(iii\right)$

Number of people $=3$

Required mean $=\frac{16\times \frac{50}{100}+17\times \frac{50}{100}+21\times \frac{50}{100}}{3}$

$=\frac{8+8.5+10.5}{3}$

$=\frac{27}{3}$

$=Rs.9$