A shopkeeper has 15 kg of rice which costs Rs 35 kg if he mixes this with kg of another rice costing...........

Quantitative Aptitude(IBPS PO) Mixture and Alligation

A shopkeeper has 15 kg of rice which costs Rs 35/kg. if he mixes this with ___ kg of another rice costing Rs ___/kg and sells the mixture at Rs 36/kg and earns 20% profit. Which of the following values can we fill in the same order?

A- 25, 27 B- 20, 26

C- 15, 25 D- 10, 24

A and C only

B and D only

C only

A, B and C only

A, B, C and D

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Explanation:

The resultant rice should cost 36/1.2 = Rs 30/kg
A – Cost of resultant rice = (15 x 35 + 25 x 27)/(15+25) = 1200/40 = Rs 30/kg
B –Cost of resultant rice = (15 x 35 + 20 x 26)/(15+20) = 1045/35 = Rs 29.86/kg
C – Cost of resultant rice = (15 x 35 + 15 x 25)/(15+15) = 900/30 = Rs 30/kg
D – Cost of resultant rice = (15 x 35 + 10 x 24)/(15+10) = 765/25 = Rs 30.6/kg
Only A and C satisfy this condition