Question

Increase $1200$ in the ratio $3:7$ and then increase the resulting number again in the ratio $4:7$

Answer 1

Step 1 : Finding the Increased number:

Increase in the ratio $=3:7$

Given quantity $=1200$

Hence the increased quantity can be calculated as given below

The increased quantity $=\frac{7}{3}\times \text{given quantity}$

$=\frac{7}{3}\times 1200$

$=2800$

Step 2 : Increasing the result in the ratio 4 : 7 :

The quantity is increased in the ratio $4:7$

Therefore the final quantity can be calculated as given below

Final quantity $=\frac{7}{4}\times 2800$

$=4900$

Thus the final quantity is $4900$.