Question

Increase $1200$ in the ratio $2:3$ and then decrease the resulting number in the ratio $10:3.$ Find the final quantity.

• A. 540
• B. 1500
• C. 1800
• D. 630

Answer 1

The correct option is A 540

Increase in the ratio $=2:3$

Given quantity $=1200$

Hence the decreased quantity can be calculated as given below

The increased quantity $=\frac{3}{2}\times \text{given quantity}$

$=\frac{3}{2}\times 1200$

$=1800$

Decreasing the result in the ratio $10:3$ :

Now,

The quantity is decreased in the ratio $10:3$

Therefore the final quantity can be calculated as given below

Final quantity $=\frac{3}{10}\times 1800$

$=540$

Thus the final quantity is $540$.