Question

A reduction in the price of mangoes by 20% enables a farmer to purchase 12 more mangoes for Rs. 15. So what could be the price of 16 mangoes before the reduction of the price?
a) Rs. 9
b) Rs. 7
c) Rs. 5
d) Rs. 6

Answer 1

hey there !!

Thank you for the question !!

let P = price before reduction,

so ,

price after reduction = P(1-20%) = 0.8P 

now,

No. of mangoes for Rs 15 at original price = 15/P 
and,

No. of mangoes for Rs 15 at reduced price = 15/.8P 

Therefore, 15/.8P -15/P = 12 

P = 0.3125

So,

Price of 16 mangoes at original price = 16 x 0.3125 = 5

hence the price of 16 mangoes was RS 5

hope it helps !!!

Answer 2

Here is your solution

Let  price before reduction, is p

Price after reduction = P(1-20%) = 0.8P 

Total No. of mangoes for Rs 15 at original price = 15/P 

Total No. of mangoes for Rs 15 at reduced price = 15/.8P 

A/q

=>15/.8P -15/P = 12 

=>P = 0.3125

Price of 16 mangoes  = 16 x 0.3125

=>Rs 5

Hence

The price of 16 mangoes was RS 5 .

Hope it helps you