Question

if the price of petrol increase by 19% and sunita intends to spend only an additional 12% on petrol by what percentage should she reduce the quantity of petrol purchased(nearest to an integer)​

Answer 1

Your Answer:

let the cost of petrol be x rupees.

And petrol is increased by 19%

So, increase in price = $\large \tt x+(x\times\frac{19}{100})$

=$\large \tt \frac{119x}{100}$

But she only able to spend 12% extra that means she can spend money =$\large \tt x+(x\times\frac{12}{100})$

= $\large \tt \frac{112x}{100}$

This shows that she can spend = $\large \tt \frac{\frac{112x}{100}}{\frac{119x}{100}}\times100\:percent\\\\=\frac{112}{119}\times100\: percent\\\\=94.117 \:percent\\\\So,\: the \: amount \: of\: percent\: decrease\:= 100-94.117\\\\=5.883\: percent$

So, the nearest integer is 6.