A vendor mixed two varieties of rice costing 60 per kg and 45 per kg in the ratio 3 7 If he sells th...........

Quantitative Aptitude (MTS) Mixture and Alligation

A vendor mixed two varieties of rice costing ?60 per kg and ?45 per kg in the ratio 3 : 7. If he sells the mixed variety at ?65 per

kg, then what is his gain percentage? [Give your answer correct to two decimal places.]

This questions was previously asked in

SSC MTS 19th July 2022 Shift-1

31.31%

15.5%

49.5%

5.5%

- The cost per kg of the mixture is found by weighted average, using the given ratio (3:7):

- Mixture cost = \(\frac{3 \times 60 + 7 \times 45}{3+7} = \frac{180 + 315}{10} = \frac{495}{10} = ?49.5\) per kg

- He sells the mixture at ?65 per kg.

- Gain per kg = ?65 - ?49.5 = ?15.5

- Gain percentage = \(\frac{15.5}{49.5} \times 100 \approx 31.31\%\)

- Option 1: 31.31% is correct.

- Option 2 (15.5%) is just the difference, not percentage.

- Option 3 (49.5%) is the mixed cost, not percentage.

- Option 4 (5.5%) is incorrect.

Submit Error