A merchant mixes three variants of rice costing Rs. 10/kg, Rs. 12/kg and Rs. 15/kg and sells the mixture at a profit of 20% at Rs. 15/kg. How many kg of the second variant will be in the mixture if 2 kg of the third variant is present in the mixture?

5 Kg

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

3 Kg

No worries! We‘ve got your back. Try BYJU‘S free classes today!

6 Kg

No worries! We‘ve got your back. Try BYJU‘S free classes today!

4 Kg

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is A 5 Kg
Let there be n Kilos of variety 1 and m kilos of variety 2.
To sell the mixture at 20% profit at 15 Rs./Kg the cost should be $15 \times (\frac{5}{6}) = 12.5$ Rs./Kg Then, $\frac{10 n + 12 m + 30}{2 + m + n} = 12.5 2.5 n + 0.5 m = 5.$ Which means $n \leq 2$
When n=1 Kg, m will be 5 Kg

Suggest Corrections

Similar questions

A merchant mixes three varieties of rice costing Rs.20/kg, Rs.24/kg and Rs.30/kg and sells the mixture at a profit of $20 %$ at Rs.30/kg. How many kgs of the second variety will be in the mixture if 2 kgs of the third variety is there in the mixture?

Q. A trader mixes

26 k g

of rice at

R s . 20

per kg with

30 k g

of rice of other variety at

R s . 36

per kg and sells the mixture at

R s . 30

per kg. His profit percent is:

A trader mixes 26 kg of rice at Rs. 20 per kg with 30 kg of rice of other variety at Rs. 36 per kg and sells the mixture at Rs. 30 per kg. His profit percent is:

Q. How many kgs of wheat costing Rs.8 per kg must be mixed with 36 kg of rice costing Rs.5.40 per kg so that 20% gain may be obtained by selling the mixture at Rs.7.20 per kg?

Q. A grocer purchased 2 Kg of rice at the rate of Rs. 15/Kg and 3 Kg of another variety of rice at Rs. 13/Kg and mixed them. At what price should he sell the mixture to earn 33.33% profit on the cost price?

Join BYJU'S Learning Program

A merchant mixes three variants of rice costing Rs. 10/kg, Rs. 12/kg and Rs. 15/kg and sells the mixture at a profit of 20% at Rs. 15/kg. How many kg of the second variant will be in the mixture if 2 kg of the third variant is present in the mixture?

The correct option is A 5 KgLet there be n Kilos of variety 1 and m kilos of variety 2. To sell the mixture at 20% profit at 15 Rs./Kg the cost should be 15×(56)=12.5Rs./Kg Then, 10n+12m+302+m+n=12.52.5n+0.5m=5. Which means n≤2 When n=1 Kg, m will be 5 Kg