Q134 of 140 Page 196

The simple interest on a certain sum for 8 years at 12 per cent per annum is Rs 3120 more than the simple interest on the same sum for 5 years at 14 per cent per annum. Find the sum.

⇒ Let the sum be x


Given, P1 = x, R1 = 12% and T1 = 8 year and


P2 = x, R2 = 14% and T2 = 5 year


⇒ The difference between I1 and I2 is 3120


⇒ I1-I2 = 3120


⇒ – = 3120


⇒ - = 3120


⇒ 96x- 70x = 3120 × 100


⇒ 26x = 312000


⇒ x = 12000


More from this chapter

All 140 →
132

Rs 9000 becomes Rs 18000 at simple interest in 8 years. Find the rate per cent per annum.

 133

In how many years will the simple interest on a certain sum be 4.05 times the principal at 13.5 per cent per annum?

 135

The simple interest on a certain sum for 2.5 years at 12 per cent per annum is Rs 300 less than the simple interest on the same sum for 4.5 years at 8 per cent per annum. Find the sum.

 136

Designing a Healthy Diet

When you design your healthy diet, you want to make sure that you meet the dietary requirements to help you grow into a healthy adult. As you plan your menu, follow the following guidelines


1. Calculate your ideal weight as per your height from the table given at the end of this question.


2. An active child should eat around 55.11 calories for each kilogram desired weight.


3. 55 per cent of calories should come from carbohydrates. There are 4 calories in each gram of carbohydrates.


4. 15 per cent of your calories should come from proteins. There are 4 calories in each gram of proteins.


5. 30 per cent of your calories may come from fats. There are 9 calories in each gram of fat.


Following is an example to design your own healthy diet.


Example


1. Ideal weight = 40 kg.


2. The number of calories needed = 40 × 55.11 = 2204.4


3. Calories that should come from carbohydrates


= 2204.4 × 0.55 = 1212.42 calories.


Therefore, required quantity of carbohydrates



4. Calories that should come from proteins


= 2204.4 × 0.15 = 330.66 calories.


Therefore, required quantity of protein



5. Calories that may come from fat = 2204.4 × 0.3 = 661.3 calories.


Therefore, required quantity of fat



Questions


1. Your ideal desired weight is _________ kg.


2. The quantity of calories you need to eat is _______.


3. The quantity of protein needed is _______g.


4. The quantity of fat required is _________ g.


5. The quantity of carbohydrates required is __________ g.