question_answer 24)

Cost of 5 kg of wheat is Rs. 30.50. (a) What will be the cost of 8 kg of wheat? (b) What quantity of wheat can be purchased in Rs. 61?

Answer:

                (a) Here, the quantity of wheat is known and cost is unknown. Given, cost of 5 kg of wheat = Rs. 30.50 \[\therefore \] Cost of 1 kg of wheat = Rs. \[\frac{30.50}{5}=\] Rs. 6.10 \[\therefore \] Cost of 8 kg of wheat = Rs. \[6.10\times 8=\] Rs. 48.80                          Hence, the Cost of 8 kg of wheat is Rs. 48.80. (b) Here, the cost of wheat is known and quantity of wheat is unknown. Given, Rs. 30.50 quantity of wheat that can be purchased = 5 kg            \[\therefore \]In Rs. 1, quantity of wheat that can be purchased \[=\frac{5}{30.50}kg=\frac{5\times 10}{305}kg=\frac{50}{305}kg\] [multiplying numerator and denominator both by 10] \[\therefore \] In Rs. 61, quantity of wheat that can be purchased Hence, 10 kg wheat can be purchased in Rs. 61.