Question

9. एक किग्रा मिश्रधातु में 40% टिन तथा 60% ताँबा है। उसमें कितना टिन
मिलाया जाए कि टिन और ताँबे का अनुपात 60 : 40 हो जाए?​

Answer 1

500g of tin should be added to make the ratio as 60:40.

Step-by-step explanation:

Given: 1 kg alloy has 40% tin and 60% copper.

Find: How much tin should be mixed in it to get the ratio of tin and copper as 60: 40.

Solution:  

There is 1000g of alloy of which 400g is tin and 600g is copper. So, if you add x to tin, total alloy will be 1000 + x.

After this, the ratio of tin should be = 60% = tin / total alloy  

(400 + x) / (1000 + x) = 60 / 100

100 * (400 + x) = 60 * (1000 + x)

40,000 + 100x = 60,000 + 60x

20,000 = 40x

Therefore, we get x = 500g

After adding 500g tin to 400g tin, tin will be 900g.

Copper = 600g to get an alloy ratio of 60:40.

Hence, 500g of tin should be added to make the ratio as 60:40.