A Hospital has raised 75% of the amount it needs for a new cancer center by receiving an average donation of Rs.12 lakh from the relatives of patients. The people already solicited represents the relatives of 60% of the patients. If the hospital is to raise exactly the amount needed for the new center, what should be the average donation from the remaining patients to be solicited?

A Hospital has raised 75% of the amount it needs for a new cancer center by receiving an average donation of Rs.12 lakh from the relatives of patients. The people already solicited represents the relatives of 60% of the patients. If the hospital is to raise exactly the amount needed for the new center, what should be the average donation from the remaining patients to be solicited? Correct Answer 6 lakhs

Calculation:

Let the no. of relatives be x who has been asked for donation.

People already solicited = 60% of x

⇒ 0.6x

Remaining people = x – 0.6x

⇒ 0.4x

Amount collected from the relatives solicited = 1200000 × 0.6x

⇒ 720000x

∴ 720000x = 75%

∴ Remaining amount = 25%

⇒ 240000x

∴ Average donations from remaining relatives = 240000x/0.4x

⇒ 6,00,000

∴ the average donation from the remaining patients to be solicited is 6 lakhs.

Related Questions

Read the passage carefully and choose the best answer to each question out of the four alternatives and click the button corresponding to it.
Fever in the season of dengue is sending Calcuttans scurrying to hospitals for admission, triggering a shortage of beds that has forced some private health care institutes to even postpone planned surgeries. Apollo Gleneagles Hospitals on the Bypass had 504 patients in its care as on Thursday of whom 70 had been admitted with fever. Belle Vue Clinic had 180 patients, 32 of them with dengue. Calcutta Medical Research Institute had 350 patients 60 of them with fever. The number of people admitted for treatment of fever caused by dengue or any undiagnosed illness has been rising every day across hospitals for more than a fortnight. "There has been heavy pressure on all private hospitals for admission of dengue and cases of unknown fever since the beginning of August. Now it is a surge," said Pradip Tondon, President of the Association of Hospitals of Eastern India. In July, four to five patients were getting admitted with fever on an average in every hospital. The number has since ballooned with the Calcutta Municipal Corporation apparently in denial about the extent of the dengue outbreak and the Government focused on playing down the threat. Such has been the rush of patients with fever that some hospitals are calling up people to postpone admissions planned in advance, mostly for surgeries. "We have told many people to come only when we call them to confirm availability of beds," said an official at Belle Vue.
The rush in hospitals has been rising
Read the passage carefully and choose the best answer to each question out of the four alternatives and click the button corresponding to it.
Fever in the season of dengue is sending Calcuttans scurrying to hospitals for admission, triggering a shortage of beds that has forced some private health care institutes to even postpone planned surgeries. Apollo Gleneagles Hospitals on the Bypass had 504 patients in its care as on Thursday of whom 70 had been admitted with fever. Belle Vue Clinic had 180 patients, 32 of them with dengue. Calcutta Medical Research Institute had 350 patients 60 of them with fever. The number of people admitted for treatment of fever caused by dengue or any undiagnosed illness has been rising every day across hospitals for more than a fortnight. "There has been heavy pressure on all private hospitals for admission of dengue and cases of unknown fever since the beginning of August. Now it is a surge," said Pradip Tondon, President of the Association of Hospitals of Eastern India. In July, four to five patients were getting admitted with fever on an average in every hospital. The number has since ballooned with the Calcutta Municipal Corporation apparently in denial about the extent of the dengue outbreak and the Government focused on playing down the threat. Such has been the rush of patients with fever that some hospitals are calling up people to postpone admissions planned in advance, mostly for surgeries. "We have told many people to come only when we call them to confirm availability of beds," said an official at Belle Vue.
The Government's "playing down the threat" means
Read the passage carefully and choose the best answer to each question out of the four alternatives and click the button corresponding to it.
Fever in the season of dengue is sending Calcuttans scurrying to hospitals for admission, triggering a shortage of beds that has forced some private health care institutes to even postpone planned surgeries. Apollo Gleneagles Hospitals on the Bypass had 504 patients in its care as on Thursday of whom 70 had been admitted with fever. Belle Vue Clinic had 180 patients, 32 of them with dengue. Calcutta Medical Research Institute had 350 patients 60 of them with fever. The number of people admitted for treatment of fever caused by dengue or any undiagnosed illness has been rising every day across hospitals for more than a fortnight. "There has been heavy pressure on all private hospitals for admission of dengue and cases of unknown fever since the beginning of August. Now it is a surge," said Pradip Tondon, President of the Association of Hospitals of Eastern India. In July, four to five patients were getting admitted with fever on an average in every hospital. The number has since ballooned with the Calcutta Municipal Corporation apparently in denial about the extent of the dengue outbreak and the Government focused on playing down the threat. Such has been the rush of patients with fever that some hospitals are calling up people to postpone admissions planned in advance, mostly for surgeries. "We have told many people to come only when we call them to confirm availability of beds," said an official at Belle Vue.
The word 'ballooned' implies
Read the passage carefully and choose the best answer to each question out of the four alternatives and click the button corresponding to it.
Fever in the season of dengue is sending Calcuttans scurrying to hospitals for admission, triggering a shortage of beds that has forced some private health care institutes to even postpone planned surgeries. Apollo Gleneagles Hospitals on the Bypass had 504 patients in its care as on Thursday of whom 70 had been admitted with fever. Belle Vue Clinic had 180 patients, 32 of them with dengue. Calcutta Medical Research Institute had 350 patients 60 of them with fever. The number of people admitted for treatment of fever caused by dengue or any undiagnosed illness has been rising every day across hospitals for more than a fortnight. "There has been heavy pressure on all private hospitals for admission of dengue and cases of unknown fever since the beginning of August. Now it is a surge," said Pradip Tondon, President of the Association of Hospitals of Eastern India. In July, four to five patients were getting admitted with fever on an average in every hospital. The number has since ballooned with the Calcutta Municipal Corporation apparently in denial about the extent of the dengue outbreak and the Government focused on playing down the threat. Such has been the rush of patients with fever that some hospitals are calling up people to postpone admissions planned in advance, mostly for surgeries. "We have told many people to come only when we call them to confirm availability of beds," said an official at Belle Vue.
Belle Vue Clinic is the name of
Read the passage carefully and choose the best answer to each question out of the four alternatives and click the button corresponding to it.
Fever in the season of dengue is sending Calcuttans scurrying to hospitals for admission, triggering a shortage of beds that has forced some private health care institutes to even postpone planned surgeries. Apollo Gleneagles Hospitals on the Bypass had 504 patients in its care as on Thursday of whom 70 had been admitted with fever. Belle Vue Clinic had 180 patients, 32 of them with dengue. Calcutta Medical Research Institute had 350 patients 60 of them with fever. The number of people admitted for treatment of fever caused by dengue or any undiagnosed illness has been rising every day across hospitals for more than a fortnight. "There has been heavy pressure on all private hospitals for admission of dengue and cases of unknown fever since the beginning of August. Now it is a surge," said Pradip Tondon, President of the Association of Hospitals of Eastern India. In July, four to five patients were getting admitted with fever on an average in every hospital. The number has since ballooned with the Calcutta Municipal Corporation apparently in denial about the extent of the dengue outbreak and the Government focused on playing down the threat. Such has been the rush of patients with fever that some hospitals are calling up people to postpone admissions planned in advance, mostly for surgeries. "We have told many people to come only when we call them to confirm availability of beds," said an official at Belle Vue.
The reason for shortage of beds in hospitals is