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Rohan sells two types of tea viz. Desi Chai and Videshi Chai. He sells Desi Chai at Rs. 24 per kg and gains a profit of 20% whereas on selling the Videshi Chai at Rs. 45 per kg, he gains 25%. In what proportion should the Desi Chai and Videshi Chai be mixed such that he can gain a profit of 10% by selling the mixture at Rs. 33 per kg?

Rohan sells two types of tea viz. Desi Chai and Videshi Chai. He sells Desi Chai at Rs. 24 per kg and gains a profit of 20% whereas on selling the Videshi Chai at Rs. 45 per kg, he gains 25%. In what proportion should the Desi Chai and Videshi Chai be mixed such that he can gain a profit of 10% by selling the mixture at Rs. 33 per kg? Correct Answer 3 ∶ 5

Given:

Selling price of Desi Chai = Rs. 24

Selling price of Videshi Chai = Rs. 45

Selling price of mixed Chai = Rs. 33

Formula:

CP = SP × 100/(100 + Profit%)

CP = SP × 100/(100 – loss%)

Mixture and Allegation method:

a                               b

                  c

p                ∶              q

Where, a > c > b

(a – c)/(c – b) = p/q

Calculation:

Cost price of Desi Chai = Rs. 24 × 100/120 = Rs. 20

Cost price of Videshi Chai = Rs. 45 × 100/125 = Rs. 36

Cost of mixed Chai = Rs. 33 × 100/110 = Rs. 30

Rs. 20                                Rs. 36

                   Rs. 30

6                   ∶                    10

∴ Required ratio of Desi Chai to Videshi Chai = 6 ∶ 10 = 3 ∶ 5

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