The cost of 13 kg of sugar is ₹ 195, the cost of 17 kg of rice is ₹ 544 and the cost of 21 kg of wheat is ₹ 336. What is the total cost of 21 kg of sugar, 26 kg of rice and 19 kg of wheat?
(a)₹ 1306
(b)₹ 1451
(c)₹ 1500
(d)₹ 1636
Answer
Answer (as printed): B
Explanation
Cost of 1 kg of sugar $=₹\left(\frac{195}{13}\right)=₹ 15$. $$\text { Cost of } 1 \mathrm{kg} \text { of rice }=₹\left(\frac{544}{17}\right)=₹ 32 .$$ Cost of 1 kg of wheat $=₹\left(\frac{336}{21}\right)=₹ 16$. $$\begin{aligned} \therefore \quad \text { Required cost } & =₹(15 \times 21+32 \times 26+16 \times 19) \\ & =₹(315+832+304)=₹ 1451 . \end{aligned}$$