Correct Answer - Option 2 : 16
GIVEN:
Reduction in price = 37.5%
Difference in the number of articles = 6
CONCEPT:
For the same amount of money,
Ratio of price and the ratio of consumption (number of articles) are inversely proportional.
Total cost = Price of one article × Total no. of articles
CALCULATION:
37.5% = 3/8
Original price = 8 units
Reduced price = 8 - 3 = 5 units
Original Changed
Price - 8 5
Articles - 5 8
⇒ Difference in no. of articles = (8 - 5) = 3 units
3 units= 6
⇒ 8 units = 6 × (8/3) = 16 articles
∴ 16 articles are available for Rs. 100 after reduction.
ALTERNATE SOLUTION:
Let the original price be x and the original no. of articles be y.
Total cost is equal in both cases = Rs. 100
⇒ x × y = 5x/8 × (y + 6)
⇒ x × y = 5xy/8 + 15x/4
3xy/8 = 15x/4
y = 10
Number. of articles after reduction = 10 + 6 = 16
∴ 16 articles are available for Rs. 100 after reduction.